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Class 10 Mathematics — Circles
10 MCQ Tests × 10 Questions = 100 Questions
Practice questions based on the uploaded Circles MCQ material.
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Test 1
Class 10 Mathematics — Circles
Q1. If one end of a diameter is (2, 3) and the centre is (−2, 5), the other end is:
Q2. If the difference between circumference and radius is 37 cm, using π = 22/7, the circumference is:
Q3. If ∠POQ = 70° and OP = OQ, then ∠OPQ is:
Useful Resource: Ravi Test Papers
Q4. If two tangents PA and PB make ∠APB = 60°, then ∠AOB is:
Q5. Circles of radii 4 cm and 3 cm have a third circle whose area equals their sum. Its diameter is:
Q6. If two tangents from an external point form a right angle at P and the radius is 4 cm, the tangent length is:
Useful Resource: CBSE Class 10 Maths
Q7. If ∠AOB = 100° and AT is tangent at A, then ∠BAT is:
Q8. A right triangle has legs 5 cm and 12 cm. The radius of its inscribed circle is:
Q9. If two tangents AB and AC from A form ∠BAC = 40°, then ∠BOC is:
Useful Resource: CBSE Class 10 Science
Q10. Two circles touch externally. A common tangent touches them at A and B. The angle subtended by AB at their external contact construction is:
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Test 2
Class 10 Mathematics — Circles
Q1. In a quadrilateral circumscribed about a circle, AB = 29 cm, AD = 23 cm and DS = 5 cm. The radius is:
Q2. A chord of a circle of radius 10 cm subtends 90° at the centre. Its length is:
Q3. From Q, tangent PQ = 12 cm and OQ = 13 cm. The radius OP is:
Useful Resource: CBSE Class 10 English
Q4. If PA = 4 cm, BP = 3 cm and AC = 11 cm in a triangle with an incircle, BC is:
Q5. The perimeter of a square circumscribing a circle of radius a is:
Q6. If tangent segments EK and EM from E are each 9 cm, the perimeter of the associated circumscribed triangle is:
Useful Resource: CBSE Class 10 Social Science
Q7. For the 5-12-13 right triangle, the inradius is:
Q8. If PT = 3.8 cm is a tangent from P and QR is formed by equal tangent segments from P, QR is:
Q9. From Q, tangent length is 5 cm and OQ = 8 cm. The radius is:
Useful Resource: CBSE Class 10 All Subjects
Q10. If ∠PQR = 115° for two tangents, then ∠PTQ is:
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Test 3
Class 10 Mathematics — Circles
Q1. From P, tangents to a circle of radius 5 cm are drawn and OP = 13 cm. The tangent length is:
Q2. For the same configuration, the area of quadrilateral PQOR is:
Q3. If two tangents PA and PB make an angle of 80°, then ∠POA is:
Useful Resource: Ravi Test Papers .in
Q4. If ∠AOB = 135° in a pair of radii, the angle between the corresponding tangents is:
Q5. If a tangent at P is perpendicular to radius OP, then ∠OPT + ∠POT equals:
Q6. If AB is a chord and AT is tangent at A with ∠BAT = 60°, the angle ∠OAB is:
Useful Resource: RAVI MATHS TUITION CENTRE YouTube
Q7. A tangent to a circle intersects it at:
Q8. The common point of a circle and its tangent is called the:
Q9. The tangent at any point of a circle is perpendicular to the:
Useful Resource: Ravi Test Papers
Q10. A straight line can meet a circle at:
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Test 4
Class 10 Mathematics — Circles
Q1. A circle has radius 6 cm and an external point is 8 cm from its centre. Tangent length is:
Q2. If OA = 8 cm and AC = 15 cm where AC is tangent, then OA-to-C distance is:
Q3. If a tangent from P is 24 cm and OP = 25 cm, the radius is:
Useful Resource: CBSE Class 10 Maths
Q4. If a tangent from P is 12 cm and OP = 13 cm, the radius is:
Q5. If OP = 10 cm and radius OT = 6 cm, tangent PT is:
Q6. If OP = 17 cm and radius = 8 cm, tangent length is:
Useful Resource: CBSE Class 10 Science
Q7. If OQ = 13 cm and radius = 5 cm, the tangent length is:
Q8. If OQ = 8 cm and radius = 6 cm, the tangent length is:
Q9. If a tangent length is 7 cm and radius is 24 cm, the distance from the external point to the centre is:
Useful Resource: CBSE Class 10 English
Q10. If tangent length is 15 cm and radius is 8 cm, the distance from external point to centre is:
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Test 5
Class 10 Mathematics — Circles
Q1. For a quadrilateral circumscribed about a circle, which relation is true?
Q2. If AB = 6 cm, BC = 7 cm and CD = 4 cm for a circumscribed quadrilateral, AD is:
Q3. If a square circumscribes a circle of radius 5 cm, its side is:
Useful Resource: CBSE Class 10 Social Science
Q4. The perimeter of that square is:
Q5. If tangent lengths from an external point are PA and PB, then:
Q6. If AP = PB in a triangle with an incircle and tangent segments are used, the source result gives:
Useful Resource: CBSE Class 10 All Subjects
Q7. If a circle is inscribed in a 5-12-13 triangle, the inradius is:
Q8. The area of a triangle with base 12 cm, height 5 cm is:
Q9. For a triangle with sides 5, 12 and 13 and inradius 2 cm, the area using rs is:
Useful Resource: Ravi Test Papers .in
Q10. If a circle has radius r, the circumference is:
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Test 6
Class 10 Mathematics — Circles
Q1. A chord of an outer circle touches an inner concentric circle of radius 6 cm. If outer radius is 10 cm, the chord length is:
Q2. If concentric circle radii are 3 cm and 5 cm and an outer chord touches the inner circle, its length is:
Q3. The perpendicular from the centre of a circle to a chord:
Useful Resource: RAVI MATHS TUITION CENTRE YouTube
Q4. A chord parallel to the tangent at an endpoint of a diameter can be used with a right triangle to find its length; for radius 5 cm and distance 3 cm from centre, the half-chord is:
Q5. For radius 5 cm and a chord 8 cm long, the perpendicular distance from centre to chord is:
Q6. For radius 10 cm and a chord 16 cm long, the perpendicular distance from centre to chord is:
Useful Resource: Ravi Test Papers
Q7. A chord equal to the radius subtends what angle at the centre?
Q8. A diameter subtends what angle at a point on the circle?
Q9. An angle in a semicircle is:
Useful Resource: CBSE Class 10 Maths
Q10. The angle at the centre subtended by an arc is:
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Test 7
Class 10 Mathematics — Circles
Q1. If an angle at the circumference is 50°, the corresponding central angle over the same arc is:
Q2. If a central angle is 120°, the angle subtended by the same arc at the circumference is:
Q3. If ∠ACB = 50° subtends arc AB, the central angle ∠AOB is:
Useful Resource: CBSE Class 10 Science
Q4. If a reflex central angle is 240°, the corresponding angle at the circumference is:
Q5. Opposite angles of a cyclic quadrilateral are:
Q6. If one angle of a cyclic quadrilateral is 135°, its opposite angle is:
Useful Resource: CBSE Class 10 English
Q7. If one angle of a cyclic quadrilateral is 110°, its opposite angle is:
Q8. If ∠A = 85° in a cyclic quadrilateral, ∠C is:
Q9. If ∠A = 120° in a cyclic quadrilateral, ∠C is:
Useful Resource: CBSE Class 10 Social Science
Q10. If ∠B = 70° in a cyclic quadrilateral, ∠D is:
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Test 8
Class 10 Mathematics — Circles
Q1. If two tangents from P touch a circle at A and B, then PA and PB are:
Q2. If PA = 9 cm is a tangent, PB from the same external point is:
Q3. If PA = 12 cm and PB is another tangent from P, PB equals:
Useful Resource: CBSE Class 10 All Subjects
Q4. If two radii OA and OB are drawn to tangent points, OA and OB are:
Q5. The radius drawn to the point of contact of a tangent is:
Q6. If two tangents make ∠APB = 80°, the angle between the corresponding radii is:
Useful Resource: Ravi Test Papers .in
Q7. If two tangents make ∠APB = 60°, the angle between corresponding radii is:
Q8. If two tangents make ∠APB = 45°, the angle between corresponding radii is:
Q9. If ∠AOB = 140° for two tangent points, the angle between tangents is:
Useful Resource: RAVI MATHS TUITION CENTRE YouTube
Q10. If ∠AOB = 100° for two tangent points, the angle between tangents is:
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Test 9
Class 10 Mathematics — Circles
Q1. A right triangle has legs 8 cm and 6 cm. Its hypotenuse is:
Q2. For a right triangle with legs 8 cm and 6 cm, the inradius is:
Q3. For a right triangle with legs 5 cm and 12 cm, the semiperimeter is:
Useful Resource: Ravi Test Papers
Q4. For the 5-12-13 triangle, area is:
Q5. For a 5-12-13 triangle, area divided by semiperimeter gives the inradius:
Q6. If the sides of a right triangle are 6 cm, 8 cm and 10 cm, its inradius is:
Useful Resource: CBSE Class 10 Maths
Q7. If the sides are 9 cm, 12 cm and 15 cm, the inradius is:
Q8. If the sides are 8 cm, 15 cm and 17 cm, the inradius is:
Q9. For a right triangle with legs a and b and hypotenuse c, the inradius is:
Useful Resource: CBSE Class 10 Science
Q10. The area of a triangle with inradius r and semiperimeter s is:
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Test 10
Class 10 Mathematics — Circles
Q1. Which statement is NOT true?
Q2. The radius of a circle is 7 cm. Its diameter is:
Q3. If diameter of a circle is 20 cm, its radius is:
Useful Resource: CBSE Class 10 English
Q4. If circumference is 44 cm using π=22/7, radius is:
Q5. If radius is 7 cm using π=22/7, circumference is:
Q6. If radius is 7 cm using π=22/7, area is:
Useful Resource: CBSE Class 10 Social Science
Q7. A circle with radius 4 cm has area:
Q8. If two circles have radii 4 cm and 3 cm, the sum of their areas is:
Q9. The diameter of a circle whose area is 25π cm² is:
Useful Resource: CBSE Class 10 All Subjects
Q10. If a tangent length is 12 cm and distance from centre is 13 cm, the circle radius is:
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