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ExamsJEE AdvancedMaths

If the point (lambda, -lambda) lies inside the circle x² + y² - 4x + 2y - 8 = 0, find the number of integers in the range of lambda.

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

Correct answer: 4

Solution

Substituting the point into the circle equation gives a quadratic inequality in lambda. Solve for the range of lambda and count the integers.

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