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Important Questions for Class 10 Maths Chapter 10 Circles - Learn CBSE

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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. A tangent to a circle is perpendicular to the radius drawn from point of contact or A line drawn perpendicular to a radius at its end point on the circle is a tangent to the circle. Number of tangents to a circle: There are the following cases: 1.

There is no tangent to a circle passing through a point lying inside the circle. There is one and only one tangent to a circle passing through a point lying on the circle. There are exactly two tangents to a circle through a point lying outside the circle.

Prove that tangents drawn at the ends of a diameter of a circle are parallel to each other. Prove that the lengths of tangents drawn from an external point to a circle are equal. All the contents on Tiwari Academy is free to use without any login or registration. If you have any doubt, please visit to discussion forum and ask the same at the platform of knowledge discussion.

We are here to help you. Find the value of r. In the figure, the chord AB of the larger of the two concentric circles, with centre O, touches the smaller circle at C. Find the length of side AD. Prove that the parallelogram circumscribing a circle is a rhombus.

To prove. ABCD is a rhombus. Prove that the point of contact P bisects the base BC. In Figure, a right triangle ABC, circumscribes a circle of radius r. If AB and Ncert Solutions For Class 9 Maths Ch 10 Off BC are of lengths 8 cm and 6 cm respectively, find the value of r.

Find the length of chord AB. In the figure, two circles touch each other at the point C. Prove that the common tangent to the circles at C, bisects the common tangent at P and Q. Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle.

Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact.

Prove that the lengths of tangents drawn from an external point to a circle are equal. In the above figure, PQ is a chord of length 16 cm, of a circle of radius 10 cm.

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