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NDA 2025 · PYQ · Circles · easy

What is the equation of the circle whose diameter is 10 cm and the equations of two of its diameters are x + y = 0 and x - y = 0?

  1. A.x² + y² = 1
  2. B.x² + y² = 25✓ Correct
  3. C.x² + y² = 100
  4. D.x² + y² - 2x - 2y - 23 = 0

Explanation

Two diameters x+y=0 and x-y=0 intersect at origin, so centre is (0,0). Radius = diameter/2 = 5. Equation: x² + y² = 25.
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