Pair Of Straight Lines Question 123
Question: The equation $ 2y^{2}-xy-x^{2}+6x-8=0 $ represents
[MP PET 1992]
Options:
A) A pair of straight lines
B) A circle
C) An ellipse
D) A parabola
Show Answer
Answer:
Correct Answer: A
Solution:
Using condition $ \Delta =0 $ , i.e., $ (-1)(2)(-8)+0-0-2{{(3)}^{2}}-(-8){{( \frac{-1}{2} )}^{2}}=16-18+2=0 $ .
Hence, equation represents a pair of straight lines.