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

Two chords 2a and 2b of a circle are perpendicular to each other at a point they meet. If the distance between the centre of circle to this point is c ( clt radius of circle) then what is radius of circle.

Consider the following statements I. The tangent of a circle is a line that meets the circle in one and only one point. II. The tangent of a circle at the end point of the diameter is perpendicular to the diameter. Which of the above statements is/are correct?

Consider the following statements : 1. The tangent of a circle is a line that meets the circle in one and only one point- 2. The tangent of a circle at the end point of the diameter is perpendicular to the diameter. Which of the above statemejita is/are correct ?

The focal chord of the parabola perpendicular to its axis is called as

Statement I The lines from the vertex to the two extremities of a focal chord of the parabola y^2=4ax are perpendicular to each other. Statement II If extremities of focal chord of a parabola are (at_1^2,2at_1) and (at_2^2,2at_2) , then t_1t_2=-1 .

AB and CD are two chords of circle with centre O and are perpendicular to each other. If angleOAC=25^(@) then angleBCD = ?

Theorem:A line drawn through the end point of a radius and perpendicular to it is a tangent to the circle.

Circle described on the focal chord as diameter touches the directrix.

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.