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UP Board Class 10 Circles — practice questions — page 2

Explore 34 free Circles questions in UP Board Class 10 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Circles questions and exercises with answers

Showing questions 31–34 of 34.

Match each circle line to what it doesRead the answer and worked solution →True or false: tangentsRead the answer and worked solution →Key in the tangent answerRead the answer and worked solution →Which one does NOT belong?Read the answer and worked solution →

Worked practice questions

Match each circle line to what it does

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Matching pairs
  1. Left
    Tangent
    Right
    Touches the circle at exactly one point
  2. Left
    Secant
    Right
    Cuts the circle at two distinct points
  3. Left
    Non-intersecting
    Right
    Has no point in common with the circle
  4. Left
    Radius
    Right
    Joins the centre to a point on the circle
Instructions
Tap a line on the left, then tap how it meets the circle.
_Source: syllabus Maths Ch10 Circles, 10.1 Introduction_

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True or false: tangents

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Questions
  1. Statement is true
    Yes
    Statement
    The tangent at any point of a circle is perpendicular to the radius at that point.
  2. Statement is true
    Yes
    Statement
    Two tangents drawn from the same external point have equal lengths.
  3. Statement is true
    No
    Statement
    A circle can have more than one tangent at a single point on it.
  4. Statement is true
    No
    Statement
    A tangent meets the circle at two points.
Instructions
Decide whether each statement about tangents is true or false.
_Source: syllabus Maths Ch10 Circles, 10.2 Tangent to a Circle_

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Key in the tangent answer

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Questions
  1. Answer
    1
    Question
    How many tangents can be drawn at a single point of a circle?
  2. Answer
    90
    Question
    What angle in degrees does a tangent make with the radius at the point of contact?
  3. Answer
    2
    Question
    How many tangents can be drawn to a circle from a point outside it?
  4. Answer
    8
    Question
    One tangent from an external point is 8 cm. How long is the other tangent, in cm?
Instructions
Work out each answer and key it in on the pad.
_Source: syllabus Maths Ch10 Circles, 10.2 Tangent to a Circle_

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