Pair Of Straight Lines Question 11
The equation of the pair of straight lines perpendicular to the lines represented by the equation $ 2x^{2}-10xy+12y^{2}+5x-16y-3=0 $ is
Options:
A) $ 6x^{2}+5xy+y^{2}=0 $
B) $ 6y^{2}+5xy+x^{2}=0 $
C) $ 6x^{2}-5xy+y^{2}=0 $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
We know that the equation of the perpendicular drawn from origin on $ ax^{2}+2hxy+by^{2}+2gx+2fy+c=0 $ is $ bx^{2}+2hxy+ay^{2}=0 $ .
Therefore, the required equation is given by $ 12x^{2}+10xy+2y^{2}=0 $ or $ 6x^{2}+5xy+y^{2}=0 $ .
BETA
