If Two Of The Straight Lines Represented By are At Right Angles, Then,

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Question

If two of the straight lines represented by are at right angles, then,

medium

Solution

Correct option is

The equation is a homogenous equation of second degree. So, it represents three straight lines passing through the origin.

Let one of the lines be y = mx. Then,

.

This is a cubic equation in m. So, it gives three values of m. Let the values be m₁, m₂, m₃. Then,

It is given that two of the three lines are at right angle.

Since m₃is a root of equation (i). Therefore,

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