NTA Abhyas JEE Main2020MathematicsBinomial TheoremPractice

The ratio of the coefficient of x 15 to the term independent of x in the expansion of x 2 + 2 x 15 is

Options

A1 : 8
B1 : 12
C1 : 16
D1 : 32

Correct answer

D. 1 : 32

Step-by-step solution

T r + 1 = 15 C r x 2 15 - r 2 x r = 15 C r x 30 - 3 r 2 r For coefficient of x 15 ,   r = 5 and for term independent of x ,   r = 10 . Required ratio = 15 C 5 2 5 15 C 10 2 10 = 1 2 5 = 1 32

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