Pair Of Straight Lines Question 48

Question: The equation of the lines passing through the origin and parallel to the lines represented by the equation $ 2x^{2}-xy-6y^{2}+7x+21y-15=0 $ , is

Options:

A) $ 2x^{2}-xy-6y^{2}=0 $

B) $ 6x^{2}-xy+2y^{2}=0 $

C) $ 6x^{2}-xy-2y^{2}=0 $

D) $ 2x^{2}+xy-6y^{2}=0 $

Show Answer

Answer:

Correct Answer: A

Solution:

Equation is $ 2x^{2}-xy-6y^{2}+7x+21y-15=0 $

Therefore, equation of lines parallel to given lines and passes through origin is homogeneous 2nd degree equation i.e., $ 2x^{2}-xy-6y^{2}=0. $