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Binomial Theorem question

2020 · 9 Jan · Shift 2 · Q23

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PYQ Library
JEE Main
Mathematics
Binomial Theorem
2020 · 9 Jan · Shift 2 · Q23

Binomial Theorem question

2020 · 9 Jan · Shift 2 · Q23

JEE MainMathematicsBinomial TheoremMCQ+4 / −1

In the expansion of

{\left( {{x \over {\cos \theta }} + {1 \over {x\sin \theta }}} \right)^{16}}

, if

{\ell _1}

is the least value of the term independent of x when

{\pi \over 8} \le \theta \le {\pi \over 4}

and

{\ell _2}

is the least value of the term independent of x when

{\pi \over {16}} \le \theta \le {\pi \over 8}

, then the ratio

{\ell _2}

:

{\ell _1}

is equal to :

A
8 : 1
B
16 : 1
C
1 : 8
D
1 : 16

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