It tan –1 y = 4 tan –1 x, then y is not finite if

Maths Inverse Trigonometric Functions Inverse Trigonometric Functions, Inverse Trigo Identities Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

x 2 = 3 + 2

x 2 = 3 – 2

x 4 = 6x 2 – 1

x 4 = 6x 2 +1

Text Solution

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The correct answer is:

CHECK THE SOLUTION.

(a, b, c)

If we put x = tan θ , the given equality becomes tan –1 y = 4 θ

⇒ y = tan 4 θ = =

= =

So that y is finite if x 4 – 6x 2 + 1 ≠ 0

⇒ x 2 ≠ ≠ 3 ± 2

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