# Solution - Number of Tangents from a Point on a Circle

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ConceptNumber of Tangents from a Point on a Circle

#### Question

Prove that a parallelogram circumscribing a circle is a rhombus.

#### Solution

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#### Similar questions VIEW ALL

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) 24.5 cm

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Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle.

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In the given figure, XY and X’Y’ are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersecting XY at A and X’Y’ at B. Prove that ∠AOB=90.

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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

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In the below given figure, two tangents RQ and RP are drawn from an external point R to the circle with centre O. If∠PRQ = 120°, then prove that OR = PR + RQ.

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#### Reference Material

Solution for concept: Number of Tangents from a Point on a Circle. For the course 8th-10th CBSE
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