If ^ -1 (x+iy)= 12 ^ -1 ( 2x 1+x^2+y^2 )+ i 2 ^ -1 ( 2y 1-x^2-y^2 ), x,y R, then ^ -1 (iy) is

JEE Main Mathematics question

If , , then is

(A)
(B)
(C)Correct
(D)

Answer: (C)

Solution

TOPIC NOT IN SYLLABUS: Hyperbolic Functions (also uses Complex Numbers). Put in the given formula so that the argument becomes purely imaginary. The first term

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Question ID VK-007950