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Inverse Trigonometric Functions · Question 17

JEE Main 2025 (Online) 28th January Morning ShiftMCQEasy📈 Topic in 16% papers+4−1
1

( -1 35 + -1 513 + -1 3365 ) is equal to:

  1. 3365
  2. 1
  3. 3265
  4. 0

Answer

(4) 0

Solution

Let = -1 35, = -1 513, = -1 3365 (all acute).

= 45, = 1213, = 5665

( + ) = 45 1213 - 35 513 = 48 - 1565 = 3365

( + ) = 35 1213 + 45 513 = 36 + 2065 = 5665

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

= 3365 5665 - 5665 3365 = 0

Answer: (4)

JEE Main 2025 (Online) 28th January Morning Shift

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2

Let [x] denote the greatest integer less than or equal to x. Then the domain of f(x) = -1(2[x] + 1) is:

  1. (- , )
  2. (- , ) - \0\
  3. (- , -1] [0, )
  4. (- , -1] [1, )
JEE Main 2025 (Online) 28th January Evening Shift

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