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BITSAT 2023Paper 1
Exam
BITSAT
Year
2023
Paper
Paper 1
Subject
Mathematics
Chapter
Circle

BITSAT 2023 · Paper 1 · Mathematics · Circle

A circle touches both the y -axis and the line x+y=0 . Then the...

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

Options

  1. Ay=2xy=\sqrt{2} x
  2. Bx=2yx=\sqrt{2} y
  3. Cy2−x2=2xyy^2-x^2=2 x y
  4. Dx2−y2=2xyx^2-y^2=2 x y

Correct answer

D. x2−y2=2xyx^2-y^2=2 x y

Step-by-step solution


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

Let (h,k)(h, k) is centre of circle
\left|\frac{h-k}{\sqrt{2}}\right|=|h|, k^2-h^2+2 h k=0
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