MCQ Questions | Class 10 Maths Chapter 10

MCQ Questions | Class 10 Maths Chapter 10 | Circles with Answers 

MCQ Questions for Class10 Maths Chapter 10 Circles

MCQ | Circles Class 10 | Sat B

Check the below NCERT MCQ Questions for Class 10 Maths Chapter 10 Circles with Answers Pdf free download. MCQ Questions for Class 10 Maths with Answers were prepared based on the latest exam pattern. We have Provided Circles Class 10 Maths MCQs Questions with Answers to help students understand the concept very well.

Objective Question | NCERT Maths Class 10

NCERT Solutions Class 10 Maths
Book: National Council of Educational Research and Training (NCERT)
Board: Central Board of Secondary Education (CBSE)
Class: 10th
Subject: Maths
Chapter: 10
Chapters Name: Circles
Medium: English

Ncert Solutions for Class 10 Maths | Objective Type Questions


You can refer to NCERT Solutions for Class 10 Maths Chapter 10 Circles to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.
Circles | Class 10 Maths | NCERT Solutions
Q1. The maximum number of common tangents that can be drawn to two circles intersecting at two distinct point is
A. 2
B. 4
C. 1
D. 3
Ans: 2
Q2. Tangents from an external point to a circle are
A. equal
B. not equal
C. parallel
D. perpendicular
Ans: equal
Q3. Number of tangents drawn at a point of the , circle is/are
A. one
B. two
C. none
D. infinite
Ans: one
Q4. If TP and TQ are two tangents to a circle with centre O so that ∠POQ = 110°, then, ∠PTQ is equal to
A. 60°
B. 70°
C. 80°
D. 90°
Ans: 70°
Q5. The length of a tangent drawn from a point at a distance of 10 cm of circle is 8 cm. The radius of the circle is
A. 4 cm
B. 5 cm
C. 6 cm
D. 7 cm
Ans: 6 cm
Q6. 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
A. 60 cm²
B. 65 cm²
C. 30 cm²
D. 32.5 cm²
Ans: 6 cm²
Q7. A line through point of contact and passing through centre of circle is known as
A. tangent
B. chord
C. normal
D. segment
Ans: normal
Explaination: (3) normal

Q8. 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, r,2) at C then
A. AB = r1
B. AB = r2
C. AC = BC
D. AB = r1 + r2
Ans: AC = BC
Q9. Two parallel lines touch the circle at
points A and B respectively. If area of the circle is 25 n cm2, then AB is equal to
A. 5 cm
B. 8 cm
C. 10 cm
D. 25 cm
Ans: 1 cm
Explaination:
Let radius of circle = R
∴ πR² = 25π
⇒ R = 5 cm
∴ Distance between two parallel tangents = diameter = 2 × 5 = 10 cm.

Q10. 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
A. 60 cm²
B. 65 cm²
C. 30 cm²
D. 32.5 cm²
Ans: 6 cm²
Q11. In figure AT is a tangent to the circle with centre O such that OT = 4 cm and ∠OTA = 30°. Then AT is equal to
A. 4 cm
B. 2 cm
C. 2√3 cm
D. 4√3 cm
Ans: 4√3 cm
Q12. PQ is a tangent drawn from a point P to a circle with centre O and QOR is a diameter of the circle such that ∠POR = 120°, then ∠OPQ is
A. 60°
B. 45°
C. 30°
D. 90°
Ans: 30°
Q13. Two circle touch each other externally at C and AB is a common tangent to the circles. Then, ∠ACB =
A. 60°
B. 45°
C. 30°
D. 90°
Ans: 90°
Q14. If four sides of a quadrilateral ABCD are tangential to a circle, then
A. AC + AD = BD + CD
B. AB + CD = BC + AD
C. AB + CD = AC + BC
D. AC + AD = BC + DB
Ans: AB + CD = BC + AD

CBSE Solutions | Ncert Solutions Maths Class 10


NCERT Solutions | 10th Maths Guide


NCERT | Class 10 Maths Solution

Ncert Solutions for Class 10 Maths


Ncert Solutions for Class 10 Maths Chapter 1


    MCQ Questions for Class 10 Maths Chapter 1 Real Numbers Sat A
    MCQ Questions for Class 10 Maths Chapter 1 Real Numbers Sat B
    MCQ Questions for Class 10 Maths Chapter 1 Real Numbers Sat C
    MCQ Questions for Class 10 Maths Chapter 1 Real Numbers Sat D

Ncert Solutions for Class 10 Maths Chapter 2


    MCQ Questions for Class 10 Maths Chapter 2 Polynomials Sat A
    MCQ Questions for Class 10 Maths Chapter 2 Polynomials Sat B
    MCQ Questions for Class 10 Maths Chapter 2 Polynomials Sat C

Ncert Solutions for Class 10 Maths Chapter 3


    MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Sat A
    MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Sat B
    MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Sat C

Ncert Solutions for Class 10 Maths Chapter 4


    MCQ Questions for Class 10 Maths Chapter 4 Quadratic Equations Sat A
    MCQ Questions for Class 10 Maths Chapter 4 Quadratic Equations Sat B
    MCQ Questions for Class 10 Maths Chapter 4 Quadratic Equations Sat C

Ncert Solutions for Class 10 Maths Chapter 5


    MCQ Questions for Class 10 Maths Chapter 5 Arithmetic Progressions Sat A
    MCQ Questions for Class 10 Maths Chapter 5 Arithmetic Progressions Sat B
    MCQ Questions for Class 10 Maths Chapter 5 Arithmetic Progressions Sat C

Ncert Solutions for Class 10 Maths Chapter 6


    MCQ Questions for Class 10 Maths Chapter 6 Triangles Sat A
    MCQ Questions for Class 10 Maths Chapter 6 Triangles Sat B

Ncert Solutions for Class 10 Maths Chapter 7


    MCQ Questions for Class 10 Maths Chapter 7 Coordinate Geometry Sat A
    MCQ Questions for Class 10 Maths Chapter 7 Coordinate Geometry Sat B

Ncert Solutions for Class 10 Maths Chapter 8


    MCQ Questions for Class 10 Maths Chapter 8 Introduction to Trigonometry Sat A
    MCQ Questions for Class 10 Maths Chapter 8 Introduction to Trigonometry Sat B
    MCQ Questions for Class 10 Maths Chapter 8 Introduction to Trigonometry Sat C

Ncert Solutions for Class 10 Maths Chapter 9


    MCQ Questions for Class 10 Maths Chapter 9 Some Applications of Trigonometry Sat A
    MCQ Questions for Class 10 Maths Chapter 9 Some Applications of Trigonometry Sat B

Ncert Solutions for Class 10 Maths Chapter 10


    MCQ Questions for Class 10 Maths Chapter 10 Circles Sat A
    MCQ Questions for Class 10 Maths Chapter 10 Circles Sat B

Ncert Solutions for Class 10 Maths Chapter 11


    MCQ Questions for Class 10 Maths Chapter 11 Constructions Sat A
    MCQ Questions for Class 10 Maths Chapter 11 Constructions Sat B

Ncert Solutions for Class 10 Maths Chapter 12


    MCQ Questions for Class 10 Maths Chapter 12 Areas Related to Circles Sat A
    MCQ Questions for Class 10 Maths Chapter 12 Areas Related to Circles Sat B

Ncert Solutions for Class 10 Maths Chapter 13


    MCQ Questions for Class 10 Maths Chapter 13 Surface Areas and Volumes Sat A
    MCQ Questions for Class 10 Maths Chapter 13 Surface Areas and Volumes Sat B
    MCQ Questions for Class 10 Maths Chapter 13 Surface Areas and Volumes Sat C

Ncert Solutions for Class 10 Maths Chapter 14


    MCQ Questions for Class 10 Maths Chapter 14 Statistics Sat A
    MCQ Questions for Class 10 Maths Chapter 14 Statistics Sat B

Ncert Solutions for Class 10 Maths Chapter 15


    MCQ Questions for Class 10 Maths Chapter 15 Probability Sat A
    MCQ Questions for Class 10 Maths Chapter 15 Probability Sat B

      NCERT SOLUTIONS

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