Straight Line Question 264
Question: If $ (-4,5) $ is one vertex and $ 7x-y+8=0 $ is one diagonal of a square, then he equation of second diagonal is
Options:
A) $ x+3y=21 $
B) $ 2x-3y=7 $
C) $ x+7y=31 $
D) $ 2x+3y=21 $
Correct Answer: C $ \therefore 5=-4m+c $? (i) Since this line is at right angle to the line $ 7x-y+8=0 $ or $ y=7x+8, $ having slope $ =7 $ ,Show Answer
Answer:
Solution:
$ \therefore 7\times m=-1 $ or $ m=\frac{-1}{7} $ Putting this value of m in equation (i) we get $ C=\frac{31}{7} $ Hence, equation of the other diagonal is $ y=-\frac{1}{7}x+\frac{31}{7} $ or $ x+7y=31. $