First slide

Binomial theorem for positive integral Index

Question

If sum of the coefficients in the expansion $(2 x^{2} - 3 c x + c^{2})^{17}$ is zero, then $c$ is equal to

Moderate

A

2, 3
B

1, 2
C

1, 3
D

2, – 1

Solution

Sum of the coefficients $= {(2 - 3 c + c^{2})}^{17}$
We are given ${(2 - 3 c + c^{2})}^{17} = 0$
$\Rightarrow c^{2} - 3 c + 2 = 0 \Rightarrow c = 1, 2$

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