Pair Of Straight Lines Question 10
Question: The equation of the lines represented by the equation $ x^{2}-5xy+6y^{2}=0 $ are
Options:
A) $ y+2x=0 $ , $ y-3x=0 $
B) $ y-2x=0 $ , $ y-3x=0 $
C) $ y+2x=0 $ , $ y+3x=0 $
D) None of these
Show Answer
Answer:
Correct Answer: D
Solution:
$ x^{2}-5xy+6y^{2}=0 $
Therefore $ x^{2}-2xy-3xy+6y^{2}=0 $
Therefore $ x(x-2y)-3y(x-2y)=0 $
Therefore $ (x-2y)=0 $ and $ x-3y=0 $ .
BETA
