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Circles questions for CBSE X

Lakshyank has 75 Circles questions for CBSE X. Try a few below, then practise the rest free.

Question 1 Circles · 2024

P is 26 cm from a circle’s centre O. Tangent PT has length 24 cm. Find the radius.

Question 2 Circles · 2024

Two concentric circles have radii 5 cm and 3 cm. From P, PA is tangent to the outer circle and PB to the inner circle. If PA=12 cm, find PB.

Question 3 Circles · 2024

Cords NA and NB are tangents from nail N to a circle with centre O. OA=5 cm and ∠ANO=30°. Find AN.

Question 4 Circles · 2024

QR is a diameter of length 8 cm through centre O. PQ is tangent at Q, and ∠POR=120°. Find OP,PQ.

Question 5 Circles · 2024

A convex quadrilateral ABCD circumscribes a circle. Which relation must hold?

Question 6 Circles

Tangents PA,PB to a circle with centre O form ∠APB=80°. Find ∠POA.

Question 7 Circles

PA and PB are tangents from an external point P to a circle with centre O. Which criterion proves PA=PB?

Question 8 Circles

Tangents PA,PB to a circle with centre O make angle APB=80°. Find angle POA.

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