Question

Middle point of the chord of the circle $x^2+y^2=25$ intercepted on the line $x-2y=2$ is

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

$x^2+y^2=25$
Given line equation $x-2y=2$
Mid of the chord will lie on the line perpendicular to the given and passing through the centre of the circle
Equation of the line perpendicular to the gien line and passing through the centre is Y=-2x,
$x-2y=0\cdots 1$
$2x+y=0\cdots 2$
Solving 1 and 2 we get $(x,y)=(\frac{2}{5},\frac{-4}{5})$