If the diameter through any point P of a parabola meets any chord in A and the tangent at the end of the chord meets the diameter in B and C, then prove that `PA^2=PB.PC`

A chord and the diameter through one of its ends are drawnin a circle. A chord of the same inclination is drawn on the other side of the diameter. Prove that the chords are of the same length.

Tangents at the end of focal chord are perpendicular to each other and meet at directrix

Prove that the tangents at the extremities of any chord make equal angles with the chord.

Prove that the tangents at the extermities of any chord makes equal angles with the chord.

Prove that the tangents at the extremities of any chord make equal angles with the chord.

Through a point A on a circle,a chord AP is drawn & on the tangent at A a point T is taken such that AT=AP. If TP produced meet the diameter through A at Q,produced meet the limiting value of AQ when P moves upto A is double the diameter of the circle.

The tangents at the end points of any chord through (1,0) to the parabola y^(2)+4x=8 intersect

The tangents at the end points of any chord through (1, 0) to the parabola y^2 + 4x = 8 intersect

The equal chords AB and CD of circle with centre O, when produced, meet at P outside the circle. Prove that : PA = PC.