Day 11: CBSE Class 10 Maths

Circles. Asked 2 times: 2023, 2026* (* = numbers or wording changed that year)

Circles. Asked 2 times: 2024, 2026

2

In the given figure, PQ and PR are tangents to a circle with centre O and radius 3 cm. If $\angle QPR = 60^\circ$, then the length of each tangent is :

1. A.
   $3\sqrt{3}$ cm
2. B.
   $3$ cm
3. C.
   $6$ cm
4. D.
   $\sqrt{3}$ cm

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Circles. Asked 2 times: 2022*, 2026 (* = numbers or wording changed that year)

Circles. Asked 2 times: 2023*, 2026 (* = numbers or wording changed that year)

25

In the given figure, O is the centre of the circle. PQ and PR are tangents. Show that the quadrilateral PQOR is cyclic.

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Circles. Asked 2 times: 2025*, 2026 (* = numbers or wording changed that year)

13

In the given figure, PA is a tangent from an external point P to a circle with centre O. If $\angle POB = 125^\circ$, then $\angle APO$ is equal to :

1. A.
   $25^\circ$
2. B.
   $65^\circ$
3. C.
   $90^\circ$
4. D.
   $35^\circ$

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