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JEE Exam  >  JEE Test  >  Chapter-wise Tests Main & Advanced  >  Test: JEE Main 35 Year PYQs- Inverse Trigonometric Functions - JEE MCQ

JEE Main 35 Year PYQs- Inverse Trigonometric Functions - Free MCQ Test


MCQ Practice Test & Solutions: Test: JEE Main 35 Year PYQs- Inverse Trigonometric Functions (7 Questions)

You can prepare effectively for JEE Chapter-wise Tests for JEE Main & Advanced with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: JEE Main 35 Year PYQs- Inverse Trigonometric Functions". These 7 questions have been designed by the experts with the latest curriculum of JEE 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 10 minutes
  • - Number of Questions: 7

Sign up on EduRev for free to attempt this test and track your preparation progress.

Test: JEE Main 35 Year PYQs- Inverse Trigonometric Functions - Question 1
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Detailed Solution: Question 1


Test: JEE Main 35 Year PYQs- Inverse Trigonometric Functions - Question 2
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The trigonometric equation sin-1 x = 2 sin -1 a has a solution for

Detailed Solution: Question 2


Out of given four options none is absolutely correct

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Test: JEE Main 35 Year PYQs- Inverse Trigonometric Functions - Question 3
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If   is equal to

Detailed Solution: Question 3


⇒ 4 - y2 -4x2+ x2y2
= 4 cos2 α + x2 y2 - 4 xy cosα
⇒ 4 x2 + y2 - 4 xy cosα = 4 sin2a .

Test: JEE Main 35 Year PYQs- Inverse Trigonometric Functions - Question 4
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then the values of x is

Detailed Solution: Question 4



Test: JEE Main 35 Year PYQs- Inverse Trigonometric Functions - Question 5
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The value of cot 

Detailed Solution: Question 5


Test: JEE Main 35 Year PYQs- Inverse Trigonometric Functions - Question 6
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If x, y, z are in A.P. and tan–1x, tan–1y and tan–1z are also in A.P., then

Detailed Solution: Question 6

Since, x, y, z are in A.P. ⇒ 2y = x + z
Also, we have, 2 tan–1 y = tan–1x + tan–1 (z)

Test: JEE Main 35 Year PYQs- Inverse Trigonometric Functions - Question 7
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 where  Then a value of y is : 

Detailed Solution: Question 7

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About this JEE Practice Test

This test contains 7 MCQs on JEE Main 35 Year PYQs- Inverse Trigonometric Functions with detailed solutions for each question. It is part of the Chapter-wise Tests for JEE Main & Advanced course on EduRev, designed to align with the current JEE syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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