Question

Find the coordinates of the foot of perpendicular drawn from the point 1 - 2 on the line y is equal to 2 x + 1

Answer 1

Hi Mate!!!

Let it's co-ordinates be ( a, b )

This ( a , b ) lies in this line y = 2x +1

=>. y = b and x = a

=>. 2a - b +1 =0 .... equation 1

If two lines are perpendicular product of their slopes = -1

=>. { b +2 / a - 1 } × 2 = -1

=>. a + 2b +3 =0 .... equation 2


Upon solving both the equations we get

b =1 and a =0

So, Co-ordinates of foot of perpendicular is ( 0, 1)

Have a nice time