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Exercise You can also download the free PDF of Ex Ex From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm.
The radius of the circle is a 7 cm b 12 cm c 15 cm d Prove that the tangents drawn at the ends of a diameter of a circle are parallel.
Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre. The length of a tangent from a point A at distance 5 cm from the centre of the circle is 4 cm.
Find the radius of the circle. Two concentric circles are of radii 5 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle. A quadrilateral ABCD is drawn to circumscribe a circle see figure. Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line segment joining the points of contact at the centre.
Prove that the parallelogram circumscribing a circle is a rhombus. A triangle ABC is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 8 cm and 6 cm respectively see figure. Find the sides AB and AC. Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle. Solution: Ex RD Sharma Class 12 Solutions.
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