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 $ .