NCERT/Class 10/Mathematics/Circles

Circles

Class 10 · Mathematics

76 questions33 easy28 medium15 hard

Sample Questions

Q1.In a circle of radius r, a tangent is drawn from a point at distance d from the centre (d > r). The length of the tangent is:

  • Asqrt(d^2 - r^2)
  • Bsqrt(d^2 + r^2)
  • Cd - r
  • Dd + r

Q2.A circle of radius 3 cm is inscribed in a right triangle. If the hypotenuse is 13 cm and one side is 5 cm, the other side is:

  • A12 cm
  • B10 cm
  • C8 cm
  • D11 cm

Q3.A tangent to a circle at point A and a secant from the same external point P intersect the circle. If PA = 6 cm and the secant cuts the circle at B and C with PB = 4 cm, then PC is:

  • A9 cm
  • B8 cm
  • C12 cm
  • D10 cm

Q4.A circle touches the side BC of triangle ABC at P and sides AB and AC produced at Q and R respectively. Then AQ equals:

  • ASemi-perimeter of triangle ABC
  • BPerimeter of triangle ABC
  • CHalf the perimeter of triangle ABC
  • DBoth a and c

Q5.In the previous question, the tangent length from vertex B is:

  • A7 cm
  • B5 cm
  • C3 cm
  • D6 cm

Q6.This is a sample question to preview what you'll get in the full practice test...

  • A. Option one
  • B. Option two
  • C. Option three
  • D. Option four
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Concepts Covered

Angle between TangentsCircumscribing FiguresConcentric Circles and TangentsLength of TangentNumber of Tangents from a PointProperties of Tangents from External PointSecant of a CircleTangent Perpendicular to RadiusTangent to a CircleTangent-Radius Relationship

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