Q. 245.0( 2 Votes )

The equation of t A. x – y = 5

B. x + y = 5

C. x + y = 1

D. x – y = 1

Answer :

Given that straight line passing through the point (3, 2)

and perpendicular to the 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 eq. is y = x


Since, the above equation is in y = mx + b form


So, the slope of this equation is 1


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


We know that, when two lines are perpendicular, then


m1 × m2 = -1


m × 1 = -1


m = -1


Putting the value of m in eq. (i), we get


y – 2 = (-1)(x – 3)


y – 2 = -x + 3


x + y = 3 + 2


x + y = 5


Hence, the correct option is (b)

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