Home
Class 12
MATHS
Coefficient of t^(24) in (1+t^(2))^(12)(...

Coefficient of `t^(24)` in `(1+t^(2))^(12)(1+t^(12))(1+t^(24))` is:

A

`""^(12)C_(5)+3`

B

`""^(12)C_(6)+1`

C

`""^(12)C_(6)`

D

`""^(12)C_(6)+2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise MCQ.s (LEVEL-II)|55 Videos

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise LATEST QUESTION FROM AIEEE/JEE EXAMINATIONS|6 Videos

  • AREA UNDER CURVES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Question from karnataka CET & COMED)|9 Videos

  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|8 Videos

Similar Questions

Explore conceptually related problems

int (1+t^(2))/(1+t^(4))dt =

if sinx =(2t)/(1+t^(2)) , tany= (2t)/(1- t^(2)) then (dy)/(dx) is equal to

If x = (2t)/(1+t^(2)), y = (1-t^(2))/(1+t^(2)) then dy/dx =

The tangents at the points (a t_(1)^(2), 2 a t_(1)), (a t_(2)^(2), 2 a t_(2)) are right angles if

If x = sqrt((1-t^(2))/(1+t^(2)) and y = (sqrt(1+t^(2))-sqrt(1-t^(2)))/(sqrt(1+t^(2)) + sqrt(1-t^(2))) then (d^(2)y)/(dx^(2)) =

If sin x = (2t)/(1+t^(2)), tan y = (2t)/(1-t^(2)) , then (dy)/(dx) is equal to

The function f(x) = int_1^(x) [2(t-1)(t-2)^(3)+3(t-1)^(2)(t-2)^(2)] dt attains its maximum at x =

The term independent of x in the expansion [t^(-1)-1) x+(t^(-1)+1)^(-1). x^(-1)]^(8) is

The point of extremum of the function phi (x) = int_1^(x) e^(t^(2)/2) (1-t^(2)) dt are