Q1. Two tangents are drawn to a circle from an exterior point A, touching the at B and C. From another point K a third tangent is drawn to a circle at Q. If AB = 20cm, then find the perimeter of triangle APR.
Q2. Prove that the tangents drawn at the ends of a diameter of a circle are parallel.
Q3. Find the length of a tangent drawn from a point whose distance from the centre of a circle is 25cm. Also the radius of a circle is 7cm.
Q4. From an external point P, two tangents PA and PB are drawn to the circle with centre O. Prove that OP is the perpendicular bisector of AB.
Q5. In two concentric circles, prove that a chord of larger circle which is tangent to smaller circle is bisected at the point of contact.
Q6. Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle.
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