Question

A line through the point(3,0) meets the variable line y=tx at right angle at the point P Find, in terms of t, the co-ordinates of P​

Answer 1

Let the co-ordinates of P= (x,y)

Given:

line 1, y=tx ...........(i)

and

Let

line 2, y=(-x/t) +b

As, it is given that the point (3,0) is on line 2,

⇒0= (-3/t )+ b

⇒ b=(3/t)

Now, The line 2 will become y=(-x/t )+(3/t ).........(ii)

∴From (i) and (ii), we get,

tx=-x/t+3/t

Put the value of x in (i), we get

now solve your self do practice