If a circle cuts a parabola in four points show that sum of ordinates of four points is zero.

If a circle cuts a parabola in four points then the sum of ordinates of four points is

If a circle intercepts the ellipse at four points, show that the sum of the eccentric angles of these points is an even multiple of pi

The sum of four angles of a quadrilateral is

The sum of the ordinates of two points on y(2)=4ax is equal to the sum of the ordinates of two other points on the same curve. Show that the chord joining the first two points is parallel to the chord joining the other two points.

Circles of radii 3,4,5 touch each other externally . Let P be the point of intersection of tangents of these circles at their points of contact .Show that the distance of P from a point of contact is sqrt5 .

If y_(1),y_(2) are the ordinates of two points P and Q on the parabola and y_(3) is the ordinate of the point of intersection of tangents at P and Q then

Show that the locus of a point such that the ratio of its distances from two given points is a constant k(!=1) , is a circle.