Circles

Class 10 · Mathematics

76 questions33 easy28 medium15 hard

Sample Questions

Q1.Two tangents PA and PB are drawn from P to a circle with centre O. If OP = diameter of the circle, then angle APB is:

  • A30 degrees
  • B45 degrees
  • C60 degrees
  • D90 degrees

Q2.Triangle ABC is drawn to circumscribe a circle of radius 4 cm such that BD = 8 cm and DC = 6 cm. The length of side AB is:

  • A15 cm
  • B13 cm
  • C20 cm
  • D18 cm

Q3.How many tangent(s) can be drawn to a circle from a point outside it?

  • A0
  • B1
  • C2
  • DInfinite

Q4.A tangent to a circle intersects it in how many point(s)?

  • A1
  • B2
  • C3
  • D0

Q5.Prove that a parallelogram circumscribing a circle is a rhombus. This is because:

  • AOpposite sides of a parallelogram are equal
  • BTangent lengths from external vertices are equal, making all sides equal
  • CThe diagonals bisect each other
  • DThe circle has a fixed radius

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
Create a test to practice all 76 questions →

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

Ready to practice?

Create a timed test from 76 questions in Circles. Pick your difficulty, get instant scores.

Start Practice Test