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Binomial Theorem — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSBinomial Theorem1 Mark
MCQ
The coefficient of x3y4 in (2x + 3y2)5 is:
  • A
    360
  • B
    720
  • C
    240
  • D
    1080
✓

Answer

  1. 720

Solution:

Given: (2x + 3y2)5

Therefore, the general form for the expression (2x + 3y2)5 is Tr+1 = 5Cr × (2x)r × (3y2)5-r

Hence, T3+1 = 5C3 (2x)3 × (3y2)5-3

T4 = 5C3 (2x)3 × (3y2)2

T4 = 5C3 × 8x3 × 9y4

On simplification, we get

T4 = 720x3y4

Therefore, the coefficient of x3y4 in (2x + 3y2)2 is 720.

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