Statement-1: Numerically greatest coefficient in the expansion of (1+5 x)8 is 8 C 4 ⋅ 54. Statement-2: Greatest coefficient in the expansion of (1+x)2 n is the middle term.

Question

Statement-1: Numerically greatest coefficient in the expansion of (1+5 x)8 is 8 C 4 ⋅ 54. Statement-2: Greatest coefficient in the expansion of (1+x)2 n is the middle term. (A) Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1. (B) Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-1. (C) Statement-1 is true, statement-2 is false. (D) Statement-1 is false, statement-2 is true..

Tardigrade Admin · Accepted Answer

Correct answer is (d) Statement-1 is false, statement-2 is true..

Q. Statement-1: Numerically greatest coefficient in the expansion of (1+5x)8 is 8C4​⋅54. Statement-2: Greatest coefficient in the expansion of (1+x)2n is the middle term.

Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.

Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-1.

Statement-1 is true, statement-2 is false.

Statement-1 is false, statement-2 is true..

Correct answer is (d) Statement-1 is false, statement-2 is true..

Q. Statement-1: Numerically greatest coefficient in the expansion of $(1 + 5 x)^{8}$ is $^{8} C_{4} \cdot 5^{4}$ .
Statement-2: Greatest coefficient in the expansion of $(1 + x)^{2 n}$ is the middle term.