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Maths Circles Class 10 MCQ and Assertion Questions

Question 1 of 10
Question 1 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 2 of 10
CBSE Board Exam 2024
In the given figure, O is the centre of the circle. MN is the chord and the tangent ML at point M makes an angle of \(70^{\circ}\) with MN . The measure of \(\angle \mathrm{MON}\) is :
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Question 3 of 10
CBSE Board Exam 2026
PA and PB are tangents to a circle centred at O . If \(\angle \mathrm{PBA}=65^{\circ}\), then \(\angle \mathrm{APB}\) equals:
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Question 4 of 10
CBSE Board Exam 2026
In the given figure, PA is a tangent to a circle with centre O . If \(\mathrm{OP}=10 \mathrm{~cm}\), then the length of AP is :
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Question 5 of 10
NCERT Exemplar
In Fig. 9.5, AT is a tangent to the circle with centre O such that OT = 4 cm and \(\angle OTA=30^\circ\). Then AT is equal to
Circle with centre O, tangent AT at A, OT equal to 4 cm and angle OTA equal to 30 degrees
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Question 6 of 10
CBSE Board Exam 2026
Assertion (A) : Radius is the smallest distance of a tangent from the centre of the circle.
Reason (R) : Radius is perpendicular to the tangent.
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Question 7 of 10
NCERT Exemplar
In Fig. 9.6, if O is the centre of a circle, PQ is a chord and the tangent PR at P makes an angle of \(50^\circ\) with PQ, then \(\angle POQ\) is equal to
Circle with centre O, chord PQ and tangent PR at P making an angle of 50 degrees with PQ
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Question 8 of 10
NCERT Exemplar
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 9 of 10
CBSE Board Exam 2026
If PQ and PR are tangents to the circle with centre O and radius 4 cm such that \(\angle \mathrm{QPR}=90^{\circ}\), then the length OP is
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Question 10 of 10
NCERT Exemplar
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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10 Question MCQ (including Assertion) · Class 10 · Maths · CBSE

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Chapter 10 Class 10 Circles | 10 questions | about 8 minutes

Practise Circles Class 10 with Teachoo's 10 Question MCQ (including Assertion) (Class 10 · Maths · CBSE). Practise these questions in a free interactive quiz with answer feedback.

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