Question

Locus of the centre of the circle touching both the co-ordinates axes is.

• A. $x ^ { 2 } + y ^ { 2 } = 0$
• B. $x ^ { 2 } + y ^ { 2 } =$a non-zero constant
• C. $x ^ { 2 } - y ^ { 2 } = 0$
• D. $x ^ { 2 } - y ^ { 2 } =$ a non-zero constant

Answer 1

Answer: (C)

$x ^ { 2 } - y ^ { 2 } = 0$

Answer 2

As centres lie on angle bisectors of co-ordinate axes or $x = 0$ and we get two lines which are perpendicular to each other on which the centres lie i.e. $x = y$ and $x = - y$ or $x ^ { 2 } - y ^ { 2 } = 0$ as combined equation.