Pair Of Straight Lines Question 27
Question: The pair of straight lines passes through the point (1, 2) and perpendicular to the pair of straight lines $ 3x^{2}-8xy+5y^{2}=0 $ , is
Options:
A) $ (5x+3y+11)(x+y+3)=0 $
B) $ (5x+3y-11)(x+y-3)=0 $
C) $ (3x+5y-11)(x+y+3)=0 $
D) $ (3x-5y+11)(x+y-3)=0 $
Show Answer
Answer:
Correct Answer: B
Solution:
The equation of lines represented by the equation $ 3x^{2}-8xy+5y^{2}=0 $ are $ 3x-5y=0 $ and $ x-y=0. $ .
Therefore, equation of lines passing through (1, 2) and perpendicular to given lines are $ x+y-3=0 $ and $ 5x+3y-11=0 $ .