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KVPY2017MathematicsTrigonometric Equations

The number of solutions of the equation + = 2 in the interval [- , ] is

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

B. 2

Step-by-step solution

Squaring ² + ² +2 2 = ² 2 array l ² 2 - 2 -1=0 2 =- ( 5 -1 2 ), 2 = 5 +1 2 ( reject ) array two solution exist between - 2 to - 4 & 4 to 0 (2 solution)

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