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 $

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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 $ .