First slide

Definition of a circle

Question

The equation of the chord of the circle
$x^{2} + y^{2} - 6 x + 8 y = 0$ which is bisected at the point $(5, - 3),$ IS

Moderate

A

$2 x + y - 7 = 0$
B

$x + 2 y + 1 = 0$
C

$2 x - y - 13 = 0$
D

$x - 2 y - 11 = 0$

Solution

The equation of the required chord is
$\begin{array}{l} T = S^{'} \\ 5 x - 3 y - 6 (\frac{x + 5}{2}) + 8 (\frac{y - 3}{2}) = 25 + 9 - 30 - 24 \end{array}$
or, $2 x + y = 7$

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