X Intercepts And Y Intercepts

Let the equation of perpendicular bisector is

Here,
(i)
Mid-point of points and is

Since, E (i) passes through .
So,



(ii)
gradient of the perpendicular line
gradient of
Put value of in E (ii), we get

On homogenisation of the curve by line , we are getting combined equation of straight lines which subtend a right angle at the origin, So

...(i)
On putting the value of in the line, we get , represent family of line passes through .