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Which of the following statements are tr...

Which of the following statements are true and which are false? In each case give a valid reason for saying so. (i) p : Each radius of a circle is a chord of the circle. (ii) q : The centre of a circle bisects each chord of the circle, (iii) r :

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Which of the following statements are true and which have are false? In each case give a valid reason for saying so p: Each radius of as circle is a chord of the circle q: The centre of a circle bisects each chord of the circle.

Which of the following statements are true and which are false ? In each case give a valid reason for saying so. q : The centre of a circle bisects each chord of the circle.

Knowledge Check

  • The radius of a circle is 6 cm. The perpendicular distance from the centre of the circle to the chord which is 8 cm in length is

    A
    `sqrt(5)` cm
    B
    `2 sqrt(5)` cm
    C
    `2 sqrt(7)` cm
    D
    `sqrt(7)` cm

  • Which of the following statements is/are correct?(1) A sector is the region in the interior of a circle enclosed by an arc on one side and a pair of radii on the other two sides. (ii) A segment of a circle is the region in the interior of the circle enclosed by an arc and a chord. (iii) Diameter is the longest chord of a circle. (iv) A circle is a polygon.

    A
    (i), (ii) and (iii) only
    B
    Only (i)
    C
    Only (ii)
    D
    None of these

  • If two chords having lengths a^2-1 and 3(a+1), where a is a constant of a circle bisect each other, then the radius of the circle is

    A
    6
    B
    `15//2`
    C
    8
    D
    `19//2`

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    Which of the following statements are true and which are false ? In each case give a valid reason for saying so. t : sqrt( 11) is a rational number.

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    Prove that, if a diameter of a circle bisects two chords of the circle then those two chords are parallel to each other.

    The chord, which passes through the centre of the circle, is called a ........... of the circle.

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