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Write True or False: Give reasons for your answers. (i) Line segment joining the centre to any point on the circle is a radius of the circle. (ii) A circle has only finite number of equal chords. (iii) If a circle is divided into three equa

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The correct Answer is:
TRUE
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CHORD OF A CIRCLE A line segment joining any two point on a circle is called a chord of the circle.

Write the truth value (T/F) of the following with suitable reasons: A circle is a plane figure. Line segment joining the centre to any point on the circle is a radius of the circle. If a circle is divided into three equal arcs each is a major arc. A circle has only finite number of equal chords. A chord of a circle, which is twice as long is its radius is a diameter of the circle. Sector is the region between the chord and its corresponding arc. The degree measure of an arc is the complement of the central angle containing the arc. The degree measure of a semi-circle is 180^0

Knowledge Check

  • The measure of the line segment joining the centre of a circle to the mid-point of a chord is :

    A
    twice the measure of the chord
    B
    half the measure of the chord
    C
    equal to the measure of the chord
    D
    None of the above

  • The line segment joining the points (4,7) and (-2,-1) is a diameter of a circle. If the circle intersects the X-axis at A and B, then AB is equal

    A
    4
    B
    5
    C
    6
    D
    8

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    The radical axis of two touching circles divides the line segment joining the centre of circles in the ratio of their

    By joining any two points on a circle,we obtain its radius (b) diameter (c) chord (d) circumference

    If we join any two points of a circle by a line segment, we obtain a………..of the circle.

    Line joining the centres of two intersecting circles always bisect their common chord. (True/False).

    (Converse of Theorem 3) The line joining the centre of a circle to the mid-point of a chord is perpendicular to the chord.

    Theorem: 4( iii) If two equal chords are drawn from a point on the circle; then the centre of a circle will lie on angle bisector of these two chords.

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