If \Δ_{1}={| able x , \sin \θ , \cos \θ; -\sin \θ,-x ,1 ;\cos \θ, 1 ,x |} and \Δ_{2}={| able x ,\sin 2 \θ,\cos 2 \θ;-\sin 2 \θ, -x ,1 ;\cos 2 \θ,1 ,x |}, x \≠0 then for all \θ\∈(0, {\π}/{2}): \ [April 10, 2019 (I)]

Question

If \Δ_{1}={|	able x , \sin \θ , \cos \θ; -\sin \θ,-x ,1 ;\cos \θ, 1 ,x |}    and \Δ_{2}={|	able x ,\sin 2 \θ,\cos 2 \θ;-\sin 2 \θ, -x ,1 ;\cos 2 \θ,1 ,x |},     x \≠0 then for all \θ\∈(0, {\π}/{2}): \     [April 10, 2019 (I)]

Examsnet · Accepted Answer

Correct Answer is :  Δ1+Δ2=−2x3

x	sin‌θ	cos‌θ
−sin‌θ	−x	1
cos‌θ	1	x

x	sin‌2‌θ	cos‌2‌θ
−sin‌2‌θ	−x	1
cos‌2‌θ	1	x

x	sin‌θ	cos‌θ
−sin‌θ	−x	1
cos‌θ	1	x

JEE Main Math Class 12 Determinants Questions Part 1 Questions