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Focus · Grades 9-12

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Circles Practice 1: Tangents And Radius Relation

Practise focused skills from Circles

MathematicsGrade 10Mixed10 questions20 min
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Section A: Circle and Tangent Basics · 5 questionsSection B: Radius-Tangent Theorem · 5 questions
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Section A: Circle and Tangent Basics

Build and apply the key ideas for this part of the chapter.

Choose the best answer for each question.

Question 1
EasyQuestion

Which line touches a circle at exactly one point?

Topic: Circle Basics · Skill: Identify radius, chord, secant and tangent

Question 2
MediumQuestion

A line cuts a circle at two distinct points. What is it called?

Topic: Circle Basics · Skill: Identify radius, chord, secant and tangent

Question 3
EasyQuestion

In a circle with centre OO, line PTPT touches the circle at TT. What is TT called?

Topic: Tangent Basics · Skill: Recognise tangent at point of contact

Question 4
MediumQuestion

Which situation correctly shows a tangent?

Topic: Tangent Basics · Skill: Recognise tangent at point of contact

Question 5
EasyQuestion

If PTPT is tangent at TT to a circle with centre OO, what is OTP\angle OTP?

Topic: Radius-Tangent Theorem · Skill: State tangent-radius perpendicular theorem

What this assignment covers

Identify tangents and use the tangent-radius perpendicular theorem.

Skills and sections

Identify radius, chord, secant and tangent, Recognise tangent at point of contact, State tangent-radius perpendicular theorem, Prove tangent-radius perpendicular theorem, Find angles using tangent-radius relation

  • Section A: Circle and Tangent Basics: 5 questions
  • Section B: Radius-Tangent Theorem: 5 questions