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Inverse Trigonometric Functions

JEE Main 2024 (Online) 29th January Evening ShiftMCQEasy📈 Topic in 10% papers+4−1
Ques. 1JEE 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

  1. 3x-2y=-2
  2. 3x+2y=2
  3. 5x+8y=9
  4. 5x-8y=-9

Answer

(3) 5x+8y=9

Solution

(2 -1x)=1-2x2= 19 x2= 49

m, n N x= 23 m=2, n=3

2x2-3x+1=0 =1, = 12

Put ( , )= (1, 12 ) in each line:

(A): 3-1=2 -2 ⇒ (A) is wrong

(B): 3+1=4 2 ⇒ (B) is wrong

(C): 5+4=9 ✓ ⇒ (C) is correct

(D): 5-4=1 -9 ⇒ (D) is wrong

Answer: (3)

Keep practising — Inverse Trigonometric Functions

Ques. 2JEE 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 :

  1. more than 2
  2. 2
  3. 0
  4. 1

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