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If the coordinates of the points A,B,C b...

If the coordinates of the points A,B,C be `(-1,5),(0,0)` and `(2,2)` respectively, and D be the middle point of BC, then the equation of the perpendicular drawn from B to the line AD is

A

`x +2y = 0`

B

`2x +y = 0`

C

`x - 2y = 0`

D

`2x - y = 0`

Text Solution

Verified by Experts

The correct Answer is:
C
Here `D(1,1)` therefore equation of line AD is given by `2x + y -3 = 0`.
Thus the line perpendicular to AD is `x - 2y +k = 0` and its passes through B, so `k = 0`.
Hence required equation is `x - 2y = 0`.
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