Home
Class 11
MATHS
Find the coefficient of x^49 in the poly...

Find the coefficient of `x^49` in the polynomial `(x-C_1/C_2)(x-2^2*C-2/C_1)(x-3^2*C_3/c_2)............(x-50^2*c_50/C-49)`, where `C_r=50C_r`.

Text Solution

Verified by Experts

The correct Answer is:
-22100
Promotional Banner

Topper's Solved these Questions

  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise EXERCISE (J-M)|20 Videos
  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise EXERCISE (J-A)|6 Videos
  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise EXERCISE (S-1)|11 Videos
  • SOLUTION AND PROPERTIES OF TRIANGLE

    ALLEN|Exercise All Questions|62 Videos
  • TRIGNOMETRIC RATIOS AND IDENTITIES

    ALLEN|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

The coefficient of ^(49) in the polynomial (x-(C_1)/(C_0)) (x-2^2(C_2)/(C_1)) (x-3^2(C_3)/(C_2)) ...(x-50^2(C_50)/(C_49)) is

Find the coefficient of x in polynomial (x+2n+1C_(0))(x+^(2n+1)C_(1))......(x+^(2n+1)C_(n))

Find the coefficient of x^(n) in the polynomial (x+^(n)C_(0))(x+3^(n)C_(1))xx(x+5^(n)C_(2))...[x+(2n+1)^(n)C_(n)]

The coefficient of x^(n) in the polynomial (x+""^(2n+1)C_(0))(X+""^(2n+1)C_(1)) (x+""^(2n+1)C_(2))……(X+""^(2n+1)C_(n)) is

Find the coefficient of x^(25) in expansion of expression sum_(r=0)^(50)C_(r)(2x-3)^(r)(2-x)^(50-r)

Coefficient of x^(48) in sum_(r=0)^(50)""^(50)C_(r).(x-2)^(x).3^(50-r) is

Find the coefficient of x^(4) in the expansion of (1+x)^(n)(1-x)^(n). Deduce that C_(2) = C_(0)C_(4) - C_(1)C_(3) +C_(2)C_(2)-C_(3)C_(1)+ C_(4)C_(0)," where "C_(r) " stands for " ^(n)C_(r).

If C_(0), C_(1), C_(2),...,C_(n) denote the binomial coefficients in the expansion of (1 + x)^n) , then xC_(0)-(x -1) C_(1)+(x-2)C_(2)-(x -3)C_(3)+...+(-1)^(n) (x -n) C_(n)=