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Definite Integration question

2022 · 25 Jun · Shift 2 · Q31

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JEE Main
Mathematics
Definite Integration
2022 · 25 Jun · Shift 2 · Q31

Definite Integration question

2022 · 25 Jun · Shift 2 · Q31

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

If

{b_n} = \int_0^{{\pi \over 2}} {{{{{\cos }^2}nx} \over {\sin x}}dx,\,n \in N}

, then

A
${b_3} - {b_2},\,{b_4} - {b_3},\,{b_5} - {b_4}$ are in A.P. with common difference $-$ 2
B
${1 \over {{b_3} - {b_2}}},{1 \over {{b_4} - {b_3}}},{1 \over {{b_5} - {b_4}}}$ are in an A.P. with common difference 2
C
${b_3} - {b_2},\,{b_4} - {b_3},\,{b_5} - {b_4}$ are in a G.P.
D
${1 \over {{b_3} - {b_2}}},{1 \over {{b_4} - {b_3}}},{1 \over {{b_5} - {b_4}}}$ are in an A.P. with common difference $-$ 2

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