Pair Of Straight Lines Question 12

Question: Which of the following second degree equation represented a pair of straight lines

[MP PET 1990]

Options:

A) $ x^{2}-xy-y^{2}=1 $

B) $ -x^{2}+xy-y^{2}=1 $

C) $ 4x^{2}-4xy+y^{2}=4 $

D) $ x^{2}+y^{2}=4 $

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Answer:

Correct Answer: C

Solution:

We have to check for each equation separately. Option (d) cannot be because it is a circle. Considering option (a) $ \Delta \ne 0,\ $ option (b) $ \Delta \ne 0 $ and for option (c) $ \Delta =0 $ .