*Hello Students*

Enter your doubts and queries below by clicking at '

I will try to solve them as soon as possible.

Enter your doubts and queries below by clicking at '

__comments__' below.I will try to solve them as soon as possible.

Regards

Dr. Pragati jain

Click here to Download a complete Mathematics

*Equations*and

*formulae*reference.

## 103 comments:

Hello Madam !

Please solve my Query

Q) What will be the nature of

2x2+2y2+7x+9y+10=0

Dear Shreyans

This is a general equation ,which represents a circle. The standard form of this Equation is

x2+y2+2gx+2fy+c=0

Comparing your equatiion with this standard form , you will get center = (-g,-f)=(-7/4,-9/4)

and radius = sqrt(g2+f2-c)=5/(2sqrt(2))

Ok..

Thank You Madam !

Mam what is the genral and better solution for transportation problem by which we can reverse check our answer

Respected Madam,

I have problem in dual simplex method.

Hello Mam A Very Good Morning to you, im very glad to visit your blog it will surely help the students and any other person facing problems and need a speedy solution to their problem, and if i'll have any sort of problem in mathematics i'll let u know!!!

Regards

Dhawal Joshi

A Very Good morning to you mam,this is very useful blog and nicely designed in keeping mind the problems we face in day-today life specially in mathematics.

I hope that it is useful today and it will be very usefull for us in oue examination time.As such i dont have any query right now mam but i will definitely post my queries if i will have any.One more thing mam,I heartly feel that one who is devoted by heart can only make such efforts and u have made it.

Thank You mam.

Hello Mam, A Very Good Morning to you,this is best blog i have seen ever.this is very interactive blog for the students.by this students can directly intrect with faculty.

Thank you mam for this kind of facility which is provided by you.

Thank you mam

GM

My question is

"What is i to the Power of i" ?

I mean to say i is called iota and its value is root of (-1) so how?

And second thing,

If I write z = a + bi,

so please tell me the value of power of i

Regards,

Sanju

Good Morning madam,this is most interactive site ,i have no queries ,but if i will have any query ,i will ask it to u.

it will be helpful for us whether we will be studying in sims or will be placed at some company.

thanks madam

It had been really always a point of despair for a student, when he/she is solving problems and at some point, math's fear overshadow a student's confidence and sometimes it is very difficult to ask someone for solution,specially when chronological factors are there. So this sort of blog where one can not only get his problems solved also can discuss about the queries or the other ways to approach a single problem.

Hopefully many of us will get advantage of this...............

Its realy nice to have a blog about mathematics problem by my favorite teacher....thank you mam.

If i will have any query then i will post here...

thank you mam

Regards

Shashank jain

@ AWANISH

The most ideal method to find the general solution of transportation problems is Vogels Approximation method.

@ SANDEEP

Please point out clearly that in which step you are having problem while solving Dual Simplex Method.

Hello Madam !

got to know about ur blog from shreyans...

It's really nice..

As of now I have no doubts but I would post them later

hello madam

my problem is:

there are 3 circle of radii 72cm,49cm and the 3rd radii isn't given .these three circles lie on the same tangent.Find the area of the smallest circle.

richa d/o sanjay

Hello Madam,

I face a difficulty to solve the n th

root of a number. Is there any short trick for that?

show that the f(x)defined by f(x)=|x|+|x-1|is derievable at x=0 and x=1

hello mam !

Is step input function countinous

at x=0 ?

if f(x)= 1 for x>0,

0 for x<=0

hello mam

my question is

find the no. of all integer sided isosceles obtuse angled triangle with perimeter 2008.

A wheel of outer radius 10 cm inner radius 5 cm takes 10 revolution why the distance coverd by both the outer and inner wheel is not same ?Can you pls. clear this querry

Hello Madam,

My name is vicky. I have applied to some universities in UK for MBA.One of those university has asked me to take Test which is having two section Numeric reasoning and verbal reasoning.

I am facing problem in numeric reasoning where pattern of questions is a bit different and little bit similar to GMAT questions.I have solve those questions with the help of Facts and figures presented in statistical tables.can u plz guide me how can solve that kinda a questions.i m sending you a link where sample question are there.

http://www.shldirect.com/numerical.html

@ prateek

There's no such short trick.

visit :

http://www.mathpath.org/concepts/nthroot.htm for higher roots.

@ Rahul

unit step function, is a discontinuous function whose value is zero for negative argument and one for positive argument. It seldom matters what value is used for H(0), since H is mostly used as a distribution.

@ aditya

let x be length of 2 equal sides and y the length of the 3rd with x,y integers.

so we have

2x+y=2008 x>0 y>0

if it is obtuse then y is longest

let t be angle across from y

we have

y^2=2*x^2*(1-cos(t))

cos(t)=(2x^2-y^2)/(2x^2)

now if t>90 then cos(t)<0 so we have

(2x^2-y^2)/(2x^2)<0

2x^2< y^2

but 2x+y=2008 so y=2008-2x

2x^2<(2008-2x)^2

x*sqrt(2)<2008-2x

(2+sqrt(2))x<2008

x<2008/(2+sqrt(2))

x<588.13

x<=588

now we also have

x+x>y

2x>y

2x>2008-2x

4x>2008

x>502

502<=x<=588

so there are 588-502+1=87 such triangles.

>>>>>

Hello Madam !

my Query is

while adding ten two digit numbers the digits ofone of the numbers were interchanged. As the result sum of all the ten numbers increased by a value which was four less than that number. Three times the sum of the digits of that original number is ten less than the number. what is the product of the digits of that number?

what is the equation for the point A(2,3)& B(2,-2)?What is the slope ,Distance???

Hello Madam!

Please tell us how to calculate h.c.f.

@ vishal

Equation of the line is

x=2

slope= infinity

distance= 5

@ sunil

Factorization Method:

Express each one of the numbers as product of prime factors.

The product of least powers of common prime factors gives HCF.

Example:

Greatest Common Measure of 36, 90, 72.

Step1: Express the numbers as product of prime factors.

36 = 22 × 32

90 = 2 × 5 × 32

72 = 23 × 32

Step2: Take the prime numbers with least power and is present in all sets.

2 and 3 are the prime number common to all given numbers.

The least power of 2 in the set is - 2

The least power of 3 in the set is - 32

Step3: Product of the numbers taken.

32 × 2 = 9 × 2 = 18

So 18 is the H.C.F (Highest Common Factor) of the numbers.

hello mam

q. lim(x-0)xcosx+sinx/x2+tanx

hello madam ....

can u plz tell me dat r u comfortable in solving problem business mathematics (b.coM)

plz reply..

by e-mail.......

kush.g13@gmail.com

i shall very thankful of u?///

@ aayush

dear,

the function f(x)=|x|+|x-1|

is continous,but not derivable

at 0 and 1.

@ kush

Though it is not my field of specialisation , I will try my best to answer ur queries.

@ Vicky

well this book might help you

http://www.esnips.com/doc/20f72be2-c03a-46f2-ab29-24b463fb0cc1/GMAT-Math

download it and prepare well

Best of luck !

I,parent of shalini gupta send my best wishes for developing such useful blogspot for the students for the right and useful direction in math.

-R.K.Gupta

@ R. K. Gupta

Dear Parent

Thank you for your good wishes.I shall try my level best to solve students' mathematical problems.

@ Krutika

By using property of limit

lim x→0 ( f(x)+g(x))= lim x→0 f(x)+ lim x→0 g(x)

lim x→0 xcosx+ lim x→0 sinx/x2+ lim x→0 tanx

=0+ lim x→0 (cosx/2x)+0

= lim x→0 (-sinx/2)=0

use L-Hospital rule for the middle term.

L-Hospital rule is used for cases that reduce to an undeterminable condition of zero/zero in the limit or if the limit is infinity , then

lim x→0 (f(x)/g(x))

=lim x→0(f'(x)/g'(x))

hello mam,

on solving

f(x)={(a+x)/(1+x)}^(a+1+2x)

i am getting

f'(0)=a^(a+1){(1-a^2)/(a+2log(a)}

which is not correct.

please help me how to solve this.

@Prateek

Taking log both sides

logf(x)=log{(a+x)/(1+x)}^(a+1+2x)

=(a+1+2x)log {(a+x)/(1+x)}

=( a+1+2x) {log(a+x)-log(1+x)}

{1/f(x)}f’(x)=2{log(a+x)-log(1+x)} +( a+1+2x){(1/(a+x)) – (1/(1+x))}

Put x=0 and f(0)= a^(a+1) and using log 1= 0

f’(0)= 2a^(a+1)log a + a^a{(1-a)^2}

mam can u tell me question related to enggineering...........

Thank you mam

good evening ma'am

plz clear my doubt

Q. INTEGRATE tan-1x.1/x

thanks mam...

how did u get this idea to create a blog?

its really a nice way to help the students.

integrate

tan-1x.1/x

@ chirag

Dear, check ur query, otherwise

For ∫tan^ -1x/x dx

Put tan^-1x=t, 1/(1+x^2)dx=dt and x= tant

∫{t(1+tan^2t)/tant}dt

= 2∫t cosec2tdt

Now integrating by parts , ans will be

2{-tan^-1t/2.log (cosec2t+cot2t)

+((cosec2t+cot2t).log(cosec2t+cot2t)-(cosec2t+cot2t))/

(-2cosec2tcot2t-2cosec^2t)}

@ Abhishek

Yes, u can ask Eng. Math.

@ Prateek

I just wanted to do something innovative to help students.That's why I created this special blog for you people.

hello mam!

MY QUESTION IS

PROVE THAT SEC(1-SIN A)(SEC A+TAN A)=1

@sanket

seca(1-sina)(seca + tan a)

=(seca-tana)(seca + tana)

=sec^2a - tan^2a

=1

evaluate tan65/cot25

@

Gurashish

tan65/cot25

=tan(90-25)/cot25

=cot25/cot25

=1

RESPECTED MAM, MY NAME IS AMIT BATHAM, PURSUING B.C.A FINAL SEM FRM PRESTIGE COLLEGE, I M HAVING LOTS TO PRBLM . MY SUBJECCT TRLTE TO LINEAR ALZEBRA, BOOLEAN EXPRESIOON ,CIRCUIT N MORE....... SO MAM I HUMBLY REQUEST U PLS HELP ME .

MY ID: amit_batham2008@yahoo.com

my contct.no :9406883562.

thanking you

with regards :

AMIT BATHAM

@

Dear Amit

I know the syllabus of B.C.A V Sem.It covers Abstract algebra, Linear algebra and Discrete Maths.

If u have any difficulty , then u can communicate me through this blog.

hi mam isha here...

really a nice blog...!!! glad to visit it..!!!!!

Hello mam can you solve this question for me.

Q)f(x)=e^x,(0,2l).

@ Aniket

You have written only a function..

What's th query ?

@ Dear Aniket

You didn't mention in your question, what has to be found out? :(

If you want to integrate the function within the limits (0,2l), your ans. will be e^2l-1.

nidhi sachdeva:- good morning mam

give an example of ring which is artinian but not noetherian... and explain it

hello ma'am

can you please solve this que.

*evaluate lim x tends to y (x^y-y^x)/(x^x-y^y)

Hello mam,

Please solve my questions.

I m a 10th class student...

Q)Find the coordinates of the circumcentre of a triangle whose vertices are A(4,6), B(0,4) and C(6,2). Also, find its circumradius.

Q)The mid-points of the sides of a triangle are (3,4), (4,6) and (5,7). Find the coordinates of the vertices of the triangle.

Regards,

Pranjal

@ Pranjal

Ans-1 The circumcentre is the centre of the circumcircle which passes through the vertices A, B, C of the triangle.

Let the circumcentre be P(x, y), then

PA = PB = PC (circumradius)

PA = PB

x2- 8x + 16 + y2- 12y + 36 = x2 + y2 - 8y + 16

PA = PC

x2- 8x + 16 + y2- 12y + 36 = x2-12x + 36 + y2- 4y + 4

Subtracting (2) from (1), we have

5y = 15

y = 3

Substituting y=3 in (1), we get

2x + 3 = 9

2x = 6

x = 3

Circumcentre P = (3, 3)

Circumradius = PA =PB =PC = sqt 10

Ans-2

Let the coordinates of three vertices are (x1,y1), (x2,y2),

(x3,y3).

Now (x1+x2)/2=4

x1+x2=8

Similarly y1+y2=12

x2+x3=10

y2+y3=14

y1+y3=8

x1+x3=6

On solving these equations, we get

(2,3), (6,9) and (4,5).

Thank you mam.....

Hello ma'am!

pls. solve foll. query.

Q:-Two vessels A and B contain mixtures of spirit and water. A mixture of 3 parts from A and 2 parts from B is found to contain 29% of spirit and a mixture of 1 part from A and 9 parts from B is found to contain 34% of spirit. Find the %age of spirit in A and B respectively

@ Pranshu

For 100 lit.

Let

x% of 3/5 x 100 + y% of 2/5 x 100

= 29% of 100

so 3x/5 + 2y/5 = 29 ---(1

Similarly

x/10 + 9y/10 = 34 ---(2

Solving above two equations

x = 25% & y = 35%

Can You Help Me with GRE Maths !@ Shreyans

Yes ! Just post your queries here !

HEYA!!! HOW R U MAM???

NICE BLOG.... :-P.....WELL MAM CAN U EXPLAIN ME HOW TO REDUCE EXAMINATION STRESS SPECIAL RELATED TO MATHS..

@ rishabh

In a recent survey, readers indicated that the hardest thing about math was learning the formulae. To improve this skill, following points are useful to reduce Math Phobia

•Read Ahead

•Know the meaning

•Practice

•Keep a list of symbols

•Absorb the formulas via different channels

•Use memory techniques

•Know why

•Deal with cramps right away

•Stay in training

Find the length of the tangent of the circle x^2 + y^2 - 2x -2y +4 = 0 drawn from the point (2,3).

hi mam,

i would like to know how to find the radius of curvature of x3+y3=3axy at the point (0,0).

what is i to the power i?

please help with this question: a2 +2b=7

b2+4c=-7

c2+6a=14

find the value of a2+b2+c2

1

Hello ma'm my query is-

find an equation of right circular cylinder whose radius is r and axis the line x-a/l = y-b/m = z-c/n.

l,m,n being dir ratios.

Dear mam,

My problem is on integration, which i can't publish through comments with the help of keyboard. Therefore, I am mailing you my problem.

Plz solve it as soon as possible.

Its urgent for me.

Dear mam,

My query is on integration, given as follows:-

∫[a/(sin^4 y - a^2 sin^2 y)] dy

Where, a is constant, y is variable.

Dear mam, my problem is on integration, which is given as follows:-

∫ a/√(sin^4 θ-a^2 sin^2 θ) dθ

Plz solve this as soon as possible.

Its urgent for me..........

The angle in one regular polygon is to that in another as 3:2 and the number of sides in first is twice that in the second.Determine the number of sides of two polygons.

1, 3, 6, 10, 15,....5151. Find the average of 101 numbers?

Quickly reply ...

Q) Devise a test for whether a point is inside a convex polygon based on the idea that a polygon can be described by a set of intersecting lines in a single plane?

what is the area of a rectilinear fiqure with dimentions 42,54,64,59ft?

what is the area of a rectilinear fiqure with dimentions 42,54,64,59ft?

Madam,

A & B hold a property in the ratio 50:50. If A wishes to buy B s share of the property @ a price of 55 crore and pays only 25 crore upfront how much portion of B s property still belongs to B for the unpaid 30 crore

what is the exact solution of this (5-6)-5=?

iam saying -6 but some one says +5 which is correct how plese tell me

what is the exact solution of this (5-6)-5=?

iam saying -6 but some one says +5 which is correct how plese tell me

24 men can do 10 hours daily .they can do a work in 90 days.if 45 men can do 8 hours daily then in how many days they can do half of that work??

DEAR MAM,

GUD MORNING, PLZ SOLVE THIS QUESTION NOW.

Q.) IN A ROW OF COWS AND DUCKS,NO. OF LEGS ARE 24 MORE THAN TWICE THE NO. OF HEADS. THEN, HOW MANY COWS IN THE ROW ?

Dear Madam,

how can i calculate the variance of y function

Y = ∑Di + ∑Dj

where i = 0 to i = n

j = 0 to j = n-l

i, j represents the time period

n,l are constants

also it can be assumed that D varies between a & b (both a, b are constants)

Dear madam

In a parallelogram ABC,|AB| = a, |AD| = b and |AC| = c, then DA.AB

has the value?

Here AB, AD,AC, DA, and AB are all vectors.

A father is 24 years old than his daughter in 4 years. The father will be 3 years old as his daughter. Find the present age of the father and daughte

Hello...

Can someone help me in the following question:

By actual division, find the quotient and the remainder when the first polynomial is divided by the second polynomial : x^4 + 1 ; x - 1.

(A) If Rs 5000 is deposited every month @ 8 % interest..then what is the Net amount after 5 years. How to make a formula for this ?

(B) What I s the rate of interest if on depositing Rs 5000 every month for 5 years , the net amount acrued is Rs 5 lakh ? How to make a formula to calculate this ?

A)

Total amount at the end of 5 years = (EMI/i) *( (1+i)^n - 1 )

= (5000/.66%) * ((1+.66%)^60 - 1)

= 3,67,384

EMI = monthly deposit

i = interest rate per month

ensure every thing is in months i.e interest rate is (8/12) or 0.66% per month

and tenure is 60 months

B) you can use the same formula of A.

since, i is raised to power n, it is difficult to resolve with calculator.

you can work with hit and trail of applying different interest rates (greater than 8% in this case).

Sin theta -cos theta-1 divided by sin theta+cos theta-1=1 divided by sec theta-tan theta.prove it.

Prove That:-

1+cos 56+cos 58+cos 66=4 cos28 cos 29 sin 33

(5a^3-4a^2+3a+18)÷(a^2-2a+3)

(5a^3-4a^2+3a+18)÷(a^2-2a+3)

there are 9 boxes and 100 stones...distribute stones in all boxes..using only even nunberss...and also we cant use 0&1

The area of a semicircular region is 308 cm2. Then its perimeter will:

ans

44 cm

72 cm

28 cm

36 cm

the sum of integers from 1 to 100 that are divisible by 2 or 5 is

ans

2550

3050

3550

3600

I have a simple question. My son is in class 3, I was trying to explain him division. I gave an example of 6÷2 that if he has 6 chocolate and if he distributes to 2. Then he asked about 0÷2, to which I replied if u don't have any you can't give any so answer is 0.

Next is 5÷0, his logic is he has 5 and he doesn't have to distribute to any so it should be 5. I studied it is undefined/infinite, How do I explain him.

The maximum of the areas of the isosceles triangles with base on the

positive x-axis and which lie below the curve y = e^-x is:

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