jee-main 2024 Q64

jee-main · India · session1_27jan_shift1 Binomial Theorem (positive integer n) Determine Parameters from Conditions on Coefficients or Terms

${ } ^ { n - 1 } C _ { r } = \left( k ^ { 2 } - 8 \right) ^ { n } C _ { r + 1 }$ if and only if:
(1) $2 \sqrt { 2 } < k \leq 3$
(2) $2 \sqrt { 3 } < \mathrm { k } \leq 3 \sqrt { 2 }$
(3) $2 \sqrt { 3 } < \mathrm { k } < 3 \sqrt { 3 }$
(4) $2 \sqrt { 2 } < \mathrm { k } < 2 \sqrt { 3 }$

${ } ^ { n - 1 } C _ { r } = \left( k ^ { 2 } - 8 \right) ^ { n } C _ { r + 1 }$ if and only if:\\
(1) $2 \sqrt { 2 } < k \leq 3$\\
(2) $2 \sqrt { 3 } < \mathrm { k } \leq 3 \sqrt { 2 }$\\
(3) $2 \sqrt { 3 } < \mathrm { k } < 3 \sqrt { 3 }$\\
(4) $2 \sqrt { 2 } < \mathrm { k } < 2 \sqrt { 3 }$

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