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

Prove that the tangents drawn at the end points of a chord of a circle make equal angles with the chord.

Show that the tangents at the extremities of any focal chord of a parabola intersect at right angles at the directrix.

Prove that the tangent at one extremity of the focal chord of a parabola is parallel to the normal at the other extremity.

Show that the locus of the point of intersection of the tangents at the extremities of any focal chord of an ellipse is the directrix corresponding to the focus.

prove that the locus of the point of intersection of the tangents at the extremities of any chord of the parabola y^2 = 4ax which subtends a right angle at the vertes is x+4a=0 .

The figure shown below consists of the tangents at the extremities of any chord Choose the correct option given below.

If two equal chords of a circle intersect within the circle,prove that the line joining the point of intersection to the centre makes equal angles with the chords.

If two equal chords of a circle in intersect within the circle,prove that : the segments of the chord are equal to the corresponding segments of the other chord.the line joining the point of intersection to the centre makes equal angles with the chords.