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BITSAT Mathematics Circle 2023 BITSAT 2023 (Memory Based Paper 1)

BITSAT Mathematics Question (2023) — Solution

Question

A circle touches both the y-axis and the line x+ y=0. Then the locus of its center is

Options

  1. A. y= 2 x
  2. B. x= 2 y
  3. C. y^2-x^2=2 x y
  4. D. x^2-y^2=2 x y

Answer

D. x^2-y^2=2 x y

Step-by-step solution

Let (h, k) is centre of circle | h-k 2 |=|h|, k^2-h^2+2 h k=0

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