Chord Joining p(α) & p(β)|| Point OF Intersection OF Tangent at p(α) & p(β)|| Illustration

Point of intersection of tangents at P(alpha) and Q(B eta)

Point of intersection of tangents at P(alpha) and Q(Beta)

The AM of y coordinates of P and Q is the y coordinate of the point of intersection of tangents at P and parabola.

Let y^(2)=4ax be a parabola and PQ be a focal chord of parabola.Let T be the point of intersection of tangents at P and Q. Then

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 intersection of tangents at P and Q, then

Hyperbola- Auxiliary circle || Eccentric angle || Position OF point || Equation OF tangent || Equation OF chord at A(α),B(β)

The line 4x -7y + 10 = 0 intersects the parabola y^(2) =4x at the points P and Q. The coordinates of the point of intersection of the tangents drawn at the points P and Q are

Prove that BS is perpendicular to PS,where P lies on the parabola y^(2)=4ax and B is the point of intersection of tangent at P and directrix of the parabola.

If PQ is the focal chord of the parabola y^(2)=-x and P is (-4, 2) , then the ordinate of the point of intersection of the tangents at P and Q is