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Angle between Two Lines

If lines x-...

Question

If lines $x - 2 y + 3 = 0$ , $3 x + k y + 7 = 0$ cut the coordinate axes in concyclic points, then $k = ?$

A

3 / 2

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B

1 / 2

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C

- 3 / 2

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D

- 4

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Solution

The correct option is D $3 / 2$
$\begin{matrix} G i v e n e q u a t i o n x - 2 y - 3 = 0 & 3 x + k y + 7 = 0 T h e n a_{1} a_{2} - b_{1} b_{2} = 0 s o, (1) (- 3) - (- 2) (k) = 0 - 3 + 2 k = 0 k = + \frac{3}{2} \end{matrix}$

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