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Class 10 Exam  >  Class 10 Tests  >  Mathematics (Maths) Class 10  >  Important Questions: Circles - Class 10 MCQ

Important Questions: Circles - Class 10 MCQ


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10 Questions MCQ Test Mathematics (Maths) Class 10 - Important Questions: Circles

Important Questions: Circles for Class 10 2024 is part of Mathematics (Maths) Class 10 preparation. The Important Questions: Circles questions and answers have been prepared according to the Class 10 exam syllabus.The Important Questions: Circles MCQs are made for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Important Questions: Circles below.
Solutions of Important Questions: Circles questions in English are available as part of our Mathematics (Maths) Class 10 for Class 10 & Important Questions: Circles solutions in Hindi for Mathematics (Maths) Class 10 course. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free. Attempt Important Questions: Circles | 10 questions in 10 minutes | Mock test for Class 10 preparation | Free important questions MCQ to study Mathematics (Maths) Class 10 for Class 10 Exam | Download free PDF with solutions
Important Questions: Circles - Question 1
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If angle between two radii of a circle is 130°, the angle between the tangents at the ends of the radii is 

Important Questions: Circles - Question 2
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In the given figure, AB and AC are tangents to the circle with centre O such that ∠BAC = 40°, then ∠BOC is equal to

Detailed Solution for Important Questions: Circles - Question 2

In quadrilateral ABOC
∠ABO + ∠BOC + ∠OCA + ∠BAC = 360°
⇒ 90° + ∠BOC + 90° + 40° = 360°
⇒ ∠BOC = 360° - 220° = 140°

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Important Questions: Circles - Question 3
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In Fig. 8.5, PQ is a chord of a circle and PT is the tangent at P such that ∠QPT = 60°. Then ∠PRQ is equal to

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Important Questions: Circles - Question 4
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In the given figure, point P is 26 cm away from the centre O of a circle and the length PT of the tangent drawn from P to the circle is 24 cm. Then the radius of the circle is
Detailed Solution for Important Questions: Circles - Question 4


∵ OT is radius and PT is tangent
∴ OT ⊥ PT
Now, in ΔOTP,
OP2 = PT2 + OT2
⇒ 262 = 242 + OT2
⇒ 676 - 576 -OT2
⇒ 100 = OT2 ⇒ 10 cm = OT

Important Questions: Circles - Question 5
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In Fig. 8.6, if PA and PB are tangents to the circle with centre O such that ∠APB = 50°, then ∠PAB is equal to
Detailed Solution for Important Questions: Circles - Question 5

In triangle PAB
∠A+∠B+∠P=180
x+x+50=180 [ if tangents are drawn from same point then they are equal so PAB is a isoceles triangle ]
2x=130
x=65

Important Questions: Circles - Question 6
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A line through point of contact and passing through centre of circle is known as
Important Questions: Circles - Question 7
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The length of the taragent drawn from a point 8 cm away from the centre of a circle of radius 6 cm is
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Important Questions: Circles - Question 8
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C (O, r1) and C (O, r2) are two concentric circles with r1 > r2. AB is a chord of C (O, r1) touching C (O, r2) at C then
Detailed Solution for Important Questions: Circles - Question 8


∵ AB touches
C(O, r2)
∴ OC ⊥ AB
Also, perpendicular from the centre to a chord bisects the chord.
∴ AC = BC

Important Questions: Circles - Question 9
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In Fig. 8.9, if ∠AOB = 125°, then ∠COD is equal to
Important Questions: Circles - Question 10
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Two parallel lines touch the circle at points A and B respectively, If area of the circle is 25πcm2, then AB is equal to
Detailed Solution for Important Questions: Circles - Question 10

Let radius of circle = R 
∴ πR2 = 25π
⇒ R = 5cm
∴ Distance between two parallel tangents 
= diameter = 2 x 5 = 10 cm.

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Important Questions: Circles

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