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Question

Question: The equation of the straight line passing through the point (3, 2) and perpendicular to the line y =...

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

Answer

x + y = 5

Explanation

Solution

Q Slope of line y = x is m1 = 1

\ Slope of the line which is \bot to the line

y = x is m2 = 1m1\frac{–1}{m_{1}}= –1

Therefore, equation of line ̃ y – 2 = – 1(x – 3)

̃ x + y = 5