Inverse Trigonometric Functions

JEE Main 2024 (Online) 31st January Evening ShiftMCQMedium📈 Topic in 21% papers+4−1

Ques. 1JEE Main 2024, 31 January (Evening Shift)

If a= -1( (5)) and b= -1( (5)), then a2+b2 is equal to

25
4 2+25
8 2-40 +50
4 2-20 +50

Answer

(3) 8 2-40 +50

Solution

3 2 4.71<5<2 6.28

a= -1( 5)=5-2 ∵ 5-2 [- 2, 2 ]

b= -1( 5)=2 -5 ∵ 2 -5 [0, ]

a2+b2=2(2 -5)2=8 2-40 +50

Answer: (3)

Keep practising — Inverse Trigonometric Functions

Ques. 2JEE Main 2024, 29 January (Evening Shift)

Let x= mn (m, n are co-prime natural numbers) be a solution of the equation (2 -1x )= 19 and let , ( > ) be the roots of the equation mx2-nx-m+n=0. Then the point ( , ) lies on the line

3x-2y=-2
3x+2y=2
5x+8y=9
5x-8y=-9

Ques. 3JEE Main 2024, 27 January (Evening Shift)

Considering only the principal values of inverse trigonometric functions, the number of positive real values of x satisfying -1(x)+ -1(2x)= 4 is :

more than 2
2
0
1

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