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 is a closed curve traced by a point moving in a plane such that the sum of the distances from two fixed points (foci) is constant.
D) A parabola is a U-shaped curve where any point is at an equal distance from the focus and directrix.
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, the equation represents a pair of straight lines.
BETA
