Teachoo MCQ Test

10 Question MCQ (including Assertion)

Preparing for CBSE

Chapter 10 Class 10 Circles | 10 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
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Question 1 of 10
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Question 1 of 10
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From a point P which is at a distance of 13 cm from the centre O of a circle of radius 5 cm, the pair of tangents PQ and PR to the circle are drawn. Then the area of the quadrilateral PQOR is
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Question 2 of 10
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At one end A of a diameter AB of a circle of radius 5 cm, tangent XAY is drawn to the circle. The length of the chord CD parallel to XY and at a distance 8 cm from A is
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Question 3 of 10
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In Fig. 9.1, the pair of tangents AP and AQ drawn from an external point A to a circle with centre O are perpendicular to each other and length of each tangent is 5 cm. Then the radius of the circle is
Circle with centre O and perpendicular tangents AP and AQ of length 5 cm from external point A
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Question 4 of 10
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In Fig. 9.7, if PA and PB are tangents to the circle with centre O such that \(\angle APB=50^\circ\), then \(\angle OAB\) is equal to
Circle with centre O and tangents PA and PB from P, with angle APB equal to 50 degrees
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Question 5 of 10
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In Fig. 9.2, PQ is a chord of a circle and PT is the tangent at P such that \(\angle QPT=60^\circ\). Then \(\angle PRQ\) is equal to
Circle with chord PQ, tangent PT at P, point R on the circle and angle QPT equal to 60 degrees
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Question 6 of 10
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In Fig. 9.8, if PQR is the tangent to a circle at Q whose centre is O, AB is a chord parallel to PR and \(\angle BQR=70^\circ\), then \(\angle AQB\) is equal to
Circle with tangent PQR at Q, chord AB parallel to PR and angle BQR equal to 70 degrees
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Question 7 of 10
PQ is tangent to a circle with centre O . If \(\angle \mathrm{POR}=65^{\circ}\), then \(\mathrm{m} \angle \mathrm{PTR}\) is
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Question 8 of 10
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In Fig. 9.4, AB is a chord of the circle and AOC is its diameter such that \(\angle ACB=50^\circ\). If AT is the tangent to the circle at the point A, then \(\angle BAT\) is equal to
Circle with diameter AOC, chord AB, angle ACB equal to 50 degrees and tangent AT at A
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Question 9 of 10
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If two tangents inclined at an angle \(60^\circ\) are drawn to a circle of radius 3 cm, then length of each tangent is equal to
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Question 10 of 10
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If radii of two concentric circles are 4 cm and 5 cm, then the length of each chord of one circle which is tangent to the other circle is
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