First slide

Definition of a circle

Question

Equation of the chord of the circle $x^{2} + y^{2} - 4 x = 0$ whose mid point is $(1, 0)$ , is

Moderate

A

$y = 2$
B

$y = 1$
C

$x = 2$
D

$x = 1$

Solution

The equation of the chord of the circle $x^{2} + y^{2} - 4 x = 0$ bisected at $(1, 0)$ is
$x + 0 y - 2 (x + 1) = 1 + 0 - 4$ [Using $S = T$ ]
or, $x = 1 .$

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