Two parallel tangents to a given circle are cut by a third tangent at the point `Ra n dQ` . Show that the lines from `Ra n dQ` to the center of the circle are mutually perpendicular.

Two parallel tangents to a given circle are cut by a third tangent at the points Aa n dBdot If C is the center of the given circle, then /_A C B (a)depends on the radius of the circle. (b)depends on the center of the circle. (c)depends on the slopes of three tangents. (d)is always constant

Two parallel tangents of a circle meet a third tangent at points P and Q. Prove that PQ subtends a right angle at the centre.

Prove that the tangent lines drawn from the outer point to the circle are equal? Or

Show that tangent lines at the end points of a diameter of a circle are parallel.

To construct the tangents to a circle from a point outside it.

(iii)If two circles cut a third circle orthogonally; then the radical axis of two circle will pass through the center of the third circle .

The tangent at any point on the curve x=acos^3theta,y=asin^3theta meets the axes in Pa n dQ . Prove that the locus of the midpoint of P Q is a circle.

The tangent at any point on the curve x=acos^3theta,y=asin^3theta meets the axes in Pa n dQ . Prove that the locus of the midpoint of P Q is a circle.

The line y=x is a tangent at (0,0) to a circle of radius unity. The center of the circle is

A circle is tangent to the lines with the equations x = 5 and y = 7. Which of the following could be the coordinates of the center of the circle ?