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Question

If in general quadratic equation fx,y=0,=0, and a+b=0, then the equation represents


A

Two parallel straight lines

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B

Two perpendicular straight lines

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C

Two lines passing through the origin

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D

None of these

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Solution

The correct option is B

Two perpendicular straight lines


Explanation for the correct option.

Find the type of conic the equation represents.

For the given general quadratic equation fx,y=0, it is given that =0 and so the equation represents a pair of straight lines.

It is also given that a+b=0, so the pair of straight lines are also perpendicular to each other.

Thus the equation represents two perpendicular straight lines.

Hence, the correct option is B.


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