Let ( a , b ) ⊂ (0, 2p) be the largest interval for which sin –1 (sinq) – cos –1 (sinq) >…
Mathematics · JEE Main · NTA Exams — Trigonometry
Let (a, b) ⊂ (0, 2p) be the largest interval for which
sin–1 (sinq) – cos–1(sinq) > 0, q ∈ (0, 2p), holds. If
ax2 + bx + sin–1 (x2 – 6x + 10) + cos–1 (x2 – 6x + 10 ) = 0
and α – β = b – a, then a is equal to
sin–1 (sinq) – cos–1(sinq) > 0, q ∈ (0, 2p), holds. If
ax2 + bx + sin–1 (x2 – 6x + 10) + cos–1 (x2 – 6x + 10 ) = 0
and α – β = b – a, then a is equal to
Answer
(D)
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