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Trigonometric Functions · Question 9

JEE Main 2026 (Online) 28th January Morning ShiftMCQMedium📈 Topic in 10% papers+4−1
1

If (A - B) A + 2 C 2 A = 1, A, B, C (0, 2 ), then

  1. A, C, B are in A.P.
  2. A, C, B are in G.P.
  3. A, B, C are in G.P.
  4. A, B, C are in A.P.

Answer

(2) A, C, B are in G.P.

Solution

2 C 2 A = 1 - (A - B) A = A - (A - B) A

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

2 C 2 A = B A (A - B) A A

2 C = A B (A - B)

2 C = 1 - 2 C = (A - B) - A B (A - B) = A B (A - B)

2 C = A B A B = A B

A, C, B are in G.P.

Answer: (2)

JEE Main 2026 (Online) 28th January Morning Shift

Keep practising — Trigonometric Functions

2

The sum of all the elements in the range of f(x) = Sgn( x) + Sgn( x) + Sgn( x) + Sgn( x), x n 2, n Z, where Sgn(t) = cases 1, & if t > 0 \ -1, & if t < 0 cases is :

  1. 4
  2. 0
  3. 2
  4. -2
JEE Main 2026 (Online) 28th January Evening Shift
3

The value of 3 cosec 20 - 20 20 40 60 80 is equal to

  1. 32
  2. 64
  3. 12
  4. 16
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4

If x = 512 for some x ( , 3 2 ), then 7x ( 13x2 + 13x2 ) + 7x ( 13x2 - 13x2 ) is equal to

  1. 5 13
  2. 6 26
  3. 4 26
  4. 1 13
JEE Main 2026 (Online) 24th January Morning Shift
5

The number of elements in the set \x [0, 180 ] : (x + 100 ) = (x + 50 ) x (x - 50 )\ is .

JEE Main 2026 (Online) 24th January Evening Shift
6

Number of solutions of 3 2 + 8 + 3 3 = 0, [-3 , 2 ] is :

  1. 5
  2. 4
  3. 3
  4. 0
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7

Let α and β respectively be the maximum and the minimum values of the function f( ) = 4 ( 4 ( 7 2 - ) + 4(11 + ) ) - 2 ( 6 ( 3 2 - ) + 6(9 - ) ), R. Then α + 2β is equal to :

  1. 6
  2. 5
  3. 4
  4. 3
JEE Main 2026 (Online) 23rd January Morning Shift
8

The least value of ( 2 - 6 + 3 2 + 2 ) is

  1. 4 - 10
  2. -1
  3. 4 + 10
  4. 1
JEE Main 2026 (Online) 23rd January Evening Shift
9

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
JEE Main 2026 (Online) 23rd January Evening Shift
10

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

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11

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

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