JEE Advanced · MathematicsMedium

The number of real solutions to the equation is:

  1. A.
  2. B.
  3. C.
  4. D.
Show correct answer & step-by-step solution

Correct answer: C

Solution

  1. The equation is .
  2. Case 1: , which gives .
  3. Case 2: , then , so or .
  4. This gives or .
  5. Checking the solutions, are valid.
  6. Hence the answer is (C).

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