Class 10 Practice – Level 2 – Set 1 – Circles Leave a Comment / By anushka kumari / September 19, 2024 Class 10 Practice – Level 2 – Set 1 - Circles Total questions: 25 1. In the given figure, AB is the diameter of a circle with centre O and AT is a tangent. If ∠AOQ = 58°, find ∠ATQ. Topic: Angles in a Circle 61° 60° 80° 70° None 2. An isosceles triangle ABC, with AB = AC, circumscribes a circle. the point of contact P bisects the base BC. Is it true or not? Topic: Properties of Isosceles Triangle and Circle True False Cannot be predicted More information needed None 3. The circumference of a circle exceeds its diameter by 45 cm. What is the circumference of the circle? Topic: Circumference of a Circle 46 cm 28 cm 34 cm 66 cm None 4. The circumference of a circle is 39.6 cm. What should be value of the area? Topic: Area of a Circle 145.36 sq.cm 254.69 sq.cm 45.12 sq.cm 124.74 sq.cm None 5. What is the radius of a circle whose perimeter and area are numerically equal? Topic: Radius of a Circle 5 cm 2 cm 8 cm 6 cm None 6. What is the diameter of the circle whose area is equal to the sum of the areas of two circles having radii 4 cm and 3 cm? Topic: Diameter of a Circle 20 cm 35 cm 70 cm 10 cm None 7. The radii of two circles are 8 cm and 6 cm. Find the radius of the circle having area equal to the sum of the areas of the two circles. Topic: Radius of a Circle 60 cm 40 cm 20 cm 10 cm None 8. What is the perimeter of a semicircular protractor whose diameter is 14 cm? Topic: Perimeter of a Semicircle 88 cm 22 cm 36 cm 11 cm None 9. A sheet of paper is in the from of rectangular ABCD in which AB = 40 cm and AD = 28 cm. A semi-circular portion with BC as diameter is cut off. What should be the area of the remaining paper. Topic: Area of Remaining Shape $ \displaystyle \text{812 c}{{\text{m}}^{2}}$ $ \displaystyle \text{745 c}{{\text{m}}^{2}}$ $ \displaystyle \text{685 c}{{\text{m}}^{2}}$ $ \displaystyle \text{552 c}{{\text{m}}^{2}}$ None 10. What is the diameter of a circle whose area is equal to the sum of the areas of two circles of diameters 10 cm and 24 cm? Topic: Diameter of a Circle 66 cm 55 cm 12 cm 26 cm None 11. What is the area of a circle whose circumference is 8π? Topic: Area of a Circle 24 π 16 π 30π 14 π None 12. In the given figure, a circle touches all four sides of a quadrilateral ABCD with AB = 6 cm, BC=7 cm and CD = 4 cm. Find AD Topic: Tangents and Quadrilateral Properties 3 cm 2 cm 4 cm 5 cm None 13. If a chord AB subtends an angle of 60° at the centre of a circle, then angle between the tangents at A and B will be: Topic: Angle Between Tangents 60° 90° 30° 120° None 14. The tangent to the circumcircle of an isosceles △ABC at A, in which AB = AC, then: Topic: Tangents to Circumcircle Tangent will be parallel to BC Tangent will not be parallel to BC Tangent will be equal to BC Tangent will not be equal to BC None 15. Two tangents PQ and PR are drawn from an external point to a circle with center O. The QORP will be: Topic: Tangent to a Circle Cyclic quadrilateral Quadrilateral Rhombus Parallelogram None 16. The center of a circle touching two intersecting lines lies on the angle bisector of the lines. Is it true or not? Topic: Circle and Angle Bisector True False Cannot be determined More information required None 17. In the given figure, AB and CD are common tangents to two circles of unequal radii. What can you say about AB and CD? Topic: Common Tangents to Two Circles AB is equal to CD AB is not equaL to CD AB is parallel to CD None of the above None 18. In the given figure, If the common tangents AB and CD to two circles intersect at E. Then what can be inferred about AB and CD? Topic: Intersection of Common Tangents AB is equal to CD AB is not equal to CD AB is parallel to CD None of the above None 19. A chord PQ of a circle is parallel to the tangent drawn at a point R of the circle. Then R bisects the arc PRQ. Is it true or not? Topic: Chord and Parallel Tangent True False Cannot be determined Incomplete information None 20. The tangents drawn at the ends of a chord of a circle does not make equal angles with the chord. Topic: Tangents and Angles with Chord True False Cannot be determined Incomplete information None 21. From an external point P, two tangents, PA and PB are drawn to a circle with centre 0 . At one point E on the circle tangent is drawn which intersects PA and PB at C and D, respectively. If PA = 10 cm, find the perimeter of the triangle PCD. Topic: Perimeter of Tangent Triangle 50 cm 20 cm 70 cm 45 cm None 22. If angle between two radii of a circle is 130°, the angle between the tangents at the ends of the radii is : Topic: Tangent and Radius 90° 50° 70° 40° None 23. In the given figure, 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: Topic: Length of Tangents 10 cm 7.5 cm 5 cm 2.5 cm None 24. In, PQ is a chord of a circle and PT is the tangent at P such that ∠QPT= 60°. Then ∠PRQ will be: Topic: Tangents and Chords in a Circle 135° 150° 120° 110° None 25. In the given figure, BOA is a diameter of a circle and the tangent at a point P meets BA extended at T. If ∠PBO = 30°, then ∠PTA will be: Topic: Angle Between Diameter and Tangent 30° 60° 90° 45° None 1 out of 25 Time's up
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