Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET202319 May 2023Morning ShiftMathematicsBinomial TheoremActual

The coefficient of x^2 in the expansion of (1-3 x)^ -1 / 4 is

Options

  1. A45 64
  2. B45 8
  3. C45 16
  4. D45 32

Correct answer

D. 45 32

Step-by-step solution

aligned & (d) (1-3 x)^ - 1 4 & =1+ (- 1 4 )(-3 x)+ (- 1 4 ) (- 1 4 -1 ) 2 ! (-3 x)^2+ & =1+ 3 4 + ( 1 4 ) ( 5 4 ) 2 ! (9) x^2+ & Hence coefficient of x^2= ( 1 4 ) ( 5 4 )(9) 2 ! = 1 2 ( 45 16 )= 45 32 aligned

Practice Binomial Theorem on Quantrex Academy →

More from Binomial Theorem

If n 13 , n 14 and n 15 are in arithmetic progression, then the positive integer value of ' n ' can be 2026If the coefficients of x^2 and x^3 in the expansion of (3 + kx)^9 are equal, then the value of ' k ' is 2026The remainder when 7¹⁰³ is divided by 25 is 2026_ r=1 ¹⁵ r^2 ( ¹⁵ C_r 15 r-1 )= 20251 81^ n - ^ 2 n C ₁ 10 81^ n + ^ 2 n C ₂ 10^2 81^ n - + 10^ 2 n 81^ n = 2025If x is positive real number and the first negative term in the expansion of (1+ x )^ 27 / 5 is t _ k then k = 2025In the binomial expansion of (p-q)¹⁴ , if the sum of 7^ th term and 8^ th term is zero, then p+q p-q = 2025The numerically greatest term in the expansion of (x+3 y)¹³ , when x= 1 2 and y= 1 3 is 2025 Full Binomial Theorem list All AP EAMCET PYQs