Home
Class 12
MATHS
Find the coefficients of x^7 in (a x^2+1...

Find the coefficients of `x^7` in `(a x^2+1/(b x))^(11)a n dx^(-7)in(a x^-1/(b x^2))^(11)` and find the relation between `aa n db` so that coefficients are equal.

Text Solution

Verified by Experts

The correct Answer is:
`.^(11)C_(5)(a^(6))/(b^(5))`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • BINOMIAL THEOREM

    MOTION|Exercise Exercise -4 (Level - I) ( Previous Year )|12 Videos

  • BINOMIAL THEOREM

    MOTION|Exercise Exercise -4 (Level - II) ( Previous Year )|7 Videos

  • BINOMIAL THEOREM

    MOTION|Exercise Exercise - 2 (Level - II) (Multiple Correct ) (MIXED PROBLEMS )|3 Videos

  • BASIC MATHEMATIC & LOGARITHM

    MOTION|Exercise Exercise - 4|4 Videos

  • CIRCLE

    MOTION|Exercise Exercise - 4 | Level - II (Previous Year | JEE Advanced|22 Videos

Similar Questions

Explore conceptually related problems

Find the coefficients of x^(7) in (ax^(2)+(1)/(bx))^(11) and x^(-7)in(ax-(1)/(bx^(2)))^(11) and find the relation between a and b so that coefficients are equal.

If the coefficient of x^(7) in (ax+(1)/(x)) and x^(-7)" in" (bx-(1)/(x))^(9) are equal, find the relation between a and b?

Knowledge Check

  • What is the coefficient of x^(n) in (x^(2) + 2x)^(n-1) ?

    A
    `(n-1)2^(n-1)`
    B
    `(n-1)xx2^(n-1)`
    C
    `(n-1)2^(n)`
    D
    `n.2(n-1)`

  • The coefficient of x^(5) in (1+ x + x^(2) + x^(3))^(11) is:

    A
    2620
    B
    2682
    C
    28820
    D
    2882

    • Similar Questions

    Explore conceptually related problems

    Find the coefficient of x^(5) in (1+2x)^(6)(1-x)^(7)

    Find the coefficient of x^(7) in the expansion of (ax^(2) + (1)/(bx))^(11) . (ii) the coefficient of x^(-7) in the expansion of (ax + (1)/(bx^2))^(11) . Also , find the relation between a and b , so that these coefficients are equal .

    Find the coefficient of x^7 in the expansion of (3x^2+ 1/(5x))^11

    Find (a) the coefficient of x^7 in the epansion of (ax^2+1/(bx))^11 (b) The coefficient of x^(-7) in the expansion of (ax^2+1/(bx))^11 Also , find the relation between a and b, so that these coefficients are equal .

    Find the coefficient of x^7 in the expansion of (x^(2) + 1//x)^(11) .

    If the coefficient of x^7 in (x^2+1/(bx))^11 is equal to coefficient at x^-7 in (x+1/(bx^2))^11 Then find value of b

    Home
    Profile