Trigonometric Functions

JEE Main 2024 (Online) 29th January Morning ShiftMCQMedium📈 Topic in 36% papers+4−1

Ques. 1JEE Main 2024, 29 January (Morning Shift)

If ,- 2< < 2 is the solution of 4 +5 =1, then the value of is

Answer

(3) 10-1012

∵ - 2< < 2: >0; divide by :

4+5 = … (i)

Squaring: 16+40 +25 2 =1+ 2

24 2 +40 +15=0

= -40 16048= -10 1012

∵ >0, (i) needs 4+5 >0, i.e. >-0.8

-10- 1012 -1.10 is rejected; 10-1012 -0.57 is accepted

Answer: (3)

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

The sum of the solutions x R of the equation 3 2x+ 3 2x 6 x- 6 x=x3-x2+6 is

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

Let the set of all a such that the equation 2x+a x=2a-7 has a solution be [p, q] and r= 9 - 27 - 1 63 + 81 , then pqr is equal to .

Ques. 4JEE Main 2024, 27 January (Evening Shift)

If 2 2 -5 =1 has exactly 7 solutions in the interval [0, n 2 ], for the least value of n , then k=1n k2k is equal to:

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