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Trigonometric Functions · Question 17

JEE Main 2026 (Online) 23rd January Evening ShiftMCQMedium📈 Topic in 19% papers+4−1
1

Let 2 < < and = - 12 2. Then the value of ( 15 2 )( 8 + 8 ) + ( 15 2 )( 8 - 8 ) is equal to :

  1. 2 - 1 3
  2. 2 3
  3. 1 - 2 3
  4. - 2 3

Answer

(3) 1 - 2 3

Solution

Let A = 15 2, B = 8 . Expression

= ( - ) + ( + )

= (A - B) + (A - B)

= (- 2 ) + (- 2 ) = 2 - 2

4 < 2 < 2, 2 > 2 the value is negative.

= - 12 2, in the second quadrant = 2 23

( 2 - 2 )2 = 1 - = 3 - 2 23 = ( 2 - 1)23

Value = - 2 - 1 3 = 1 - 2 3

Answer: (3)

JEE Main 2026 (Online) 23rd January Evening Shift

Keep practising — Trigonometric Functions

2

If 2 48 - 2 12 2 24 - 2 6 = + 52, where , N, then + is equal to

JEE Main 2026 (Online) 22nd January Morning Shift
3

Let ( + ) = - 110 and ( - ) = 38, where 0 < < 3 and 0 < < 4. If 2 = 3(1 - r 5) 11(s + 5), r, s N, then r + s is equal to .

JEE Main 2026 (Online) 22nd January Evening Shift
4

The value of cosec 10 - 3 10 is equal to :

  1. 2
  2. 6
  3. 8
  4. 4
JEE Main 2026 (Online) 21st January Morning Shift
5

If for [- 3, 0 ], the points (x, y) = (3 ( + 3 ), 2 ( + 6 ) ) lie on xy + x + y + = 0, then 2 + 2 + 2 is equal to :

  1. 75
  2. 96
  3. 80
  4. 72
JEE Main 2025 (Online) 7th April Morning Shift
6

The number of solutions of the equation 2 2 + 5 2 = 2 3 5 2 in [- 2, 2 ] is :

  1. 5
  2. 7
  3. 6
  4. 9
JEE Main 2025 (Online) 7th April Evening Shift
7

If 10 4 + 15 4 = 6, then the value of 27 cosec6 + 8 6 16 8 is

  1. 25
  2. 35
  3. 15
  4. 34
JEE Main 2025 (Online) 4th April Morning Shift
8

The number of solutions of the equation 2x + 3 x = , x [-2 , 2 ] - \ 2, 3 2 \ is:

  1. 4
  2. 5
  3. 3
  4. 6
JEE Main 2025 (Online) 3rd April Morning Shift
9

The number of solutions of the equation (4 - 3) x - 2 3 2 x = - 41 + 3, x [-2 , 5 2 ] is

  1. 4
  2. 3
  3. 6
  4. 5
JEE Main 2025 (Online) 3rd April Evening Shift
10

If [-2 , 2 ], then the number of solutions of 2 2 2 + (2 - 6) - 3 = 0, is equal to:

  1. 8
  2. 6
  3. 10
  4. 12
JEE Main 2025 (Online) 2nd April Morning Shift
11

If [- 7 6, 4 3 ], then the number of solutions of 3 cosec2 - 2( 3 - 1) cosec - 4 = 0, is equal to :

  1. 7
  2. 10
  3. 6
  4. 8
JEE Main 2025 (Online) 2nd April Evening Shift

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