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Inverse Trigonometric Functions

Previous year questions with solutions · 2024 – 2026

30Questions
30Papers covered
2.32%Weightage 2026same as last year
’24
’25
’26
Year-wise statistics questions · papers · average per paper · weightage
YearQuestionsPapersAvg / paperWeightage
202611190.582.32% same as last year
202511190.582.32% ▲ 73.7% vs last year
20248200.41.33%

8 questions · newest paper first

Ques. 1JEE Main 2026, 5 April (Morning Shift)

If 4+ p=111 -1 ( 2p-11+22p-1 )= , then is equal to .

Ques. 2JEE Main 2026, 28 January (Morning Shift)

If k = ( 4 + 12 -1 ( 23 ) ) + ( 12 -1 ( 23 ) ), then the number of solutions of the equation -1(kx - 1) = -1x - -1x is .

Ques. 3JEE Main 2026, 21 January (Evening Shift)

Let the maximum value of ( -1x )2 + ( -1x )2 for x [- 32, 1 2 ] be mn 2, where (m, n) = 1. Then m + n is equal to .

Ques. 4JEE Main 2025, 2 April (Evening Shift)

If y = ( 3 + -1 x2 ), then (x - y)2 + 3y2 is equal to .

Ques. 5JEE Main 2025, 29 January (Morning Shift)

Let S = \x : -1x = + -1x + -1(2x + 1) \. Then x S(2x - 1)2 is equal to .

Ques. 6JEE Main 2025, 24 January (Morning Shift)

If for some , ; , + =8 and 2 ( -1 )+cosec2 ( -1 )=36, then 2+ is

Ques. 7JEE Main 2024, 9 April (Evening Shift)

Let the inverse trigonometric functions take principal values. The number of real solutions of the equation 2 -1x + 3 -1x = 2 5, is .

Ques. 8JEE Main 2024, 6 April (Morning Shift)

For n N, if -13 + -14 + -15 + -1n = 4, then n is equal to .