JEE MAIN - Mathematics Hindi (2019 - 10th April Evening Slot - No. 1)
माना f(x) = loge(sin x), (0 < x < $$\pi $$) और g(x) = sin–1
(e–x
), (x $$ \ge $$ 0)। यदि $$\alpha $$ एक धनात्मक वास्तविक संख्या है जिसके लिए
a = (fog)'($$\alpha $$) और b = (fog)($$\alpha $$), तो :
a$$\alpha $$2 + b$$\alpha $$ - a = -2$$\alpha $$2
a$$\alpha $$2 + b$$\alpha $$ + a = 0
a$$\alpha $$2 - b$$\alpha $$ - a = 0
a$$\alpha $$2 - b$$\alpha $$ - a = 1
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