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  • The equation of the straight line passing through the point (3, 2) and perpendicular to the line y equal to x is A x minus y equal to 5 B x plus y equal to 5 C x plus y equal to 1 D x minus y equal to 1

The equation of the straight line passing through the point (3, 2) and perpendicular to the line y = x is
A. x – y = 5
B. x + y = 5
C. x + y = 1
D. x – y = 1

Answers (1)

Given that straight line passing through the point (3,2) and is perpendicular to

 line y=x  

Let the equation of line L is (y-y1) =m(x-x1)

  Since,  L is passing through the point (3,2)

 y-2=m(x-3)..…(i) 

 Now, given equation is y=x 

 Comparing it with y=mx+b 

we get slope of the equation as 1. 

 It is also given that line L and y=x are perpendicular to each other. 

 We know that when two lies are perpendicular then m1*m2= -1  m*1=-1  

 m=-1

 Putting this value of m  in equation (i) we get y-2=-(1)(x-3) 

 y-2=-x+3 

 x+y=5

 Hence, the correct option is b

 

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