MereTeacher

JEE • NEET • FOUNDATION

HomePrevious Year QuestionsMathematicsInverse Trigonometric Functions

JEE Previous Year Question

If x=log⁡(y+y2+1​) then y=

Topic: JEE PYQ

Answer: C. Full step-by-step solution below.

  1. Atanhx
  2. Bcothx
  3. Csinhx
  4. Dcoshx

Correct answer: C

Solution

(c) x=log⁡(y+y2+1​)
y+y2+1​=ex
∵sin⁡h−1x=log⁡(x+x2+1​)
sin⁡h−1y=log⁡(y+y2+1​)
sin⁡h−1y=x⇒sin⁡hx=y

More Inverse Trigonometric Functions PYQs

  • If…
  • The sum of the infinite series…
  • For non-negative integer n, let…
  • …
  • If y=cos⁡(3π​+cos−1⁡2x​), then (x−y)2++3y2 is eq…

Explore

  • Previous year questions
  • JEE & NEET test series
  • Free practice
  • AI doubt solver
  • Preparation guides
  • JEE Main chapter weightage
  • NEET chapter weightage
  • JEE Main concept weightage
  • NEET concept weightage