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.