The coefficient of r²⁴ in (1+r²)¹²(1+r¹²)(1+r²⁴) is (a) 12 6+3 (b) 12 6+1 (c) 12 6 (d) 12 6+2

Correct answer: (d) 12 6+2 Contributions: (r²)¹², r¹²· r¹² giving 12 6, and 1· r²⁴. Total 12 6+2. JEE Advanced 2003 · Binomial Theorem — verified solution by the Vidaara Team.

JEE PYQ

[JEE Advanced 2003] the coefficient of r 24 in 1 r 2 12 1 r 12 1

VAVidaara Admin Asked 2d ago 0 views 1 answer

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The coefficient of $r^{24}$ in $(1+r^2)^{12}(1+r^{12})(1+r^{24})$ is

(a) $\binom{12}6+3$
(b) $\binom{12}6+1$
(c) $\binom{12}6$
(d) $\binom{12}6+2$

1 Answer

VAVidaara Admin ✓ Vidaara Team ✓ Accepted · 2d ago ▲ 0

Correct answer: (d) $\binom{12}6+2$

Contributions: $(r^2)^{12}$, $r^{12}\cdot r^{12}$ giving $\binom{12}6$, and $1\cdot r^{24}$. Total $\binom{12}6+2$.

JEE Advanced 2003 · Binomial Theorem — verified solution by the Vidaara Team.

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