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Circles Test - 36

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Circles Test - 36
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Weekly Quiz Competition
  • Question 1
    1 / -0
    Consider a circle with center O and radius = 24cm. AB = 20cm and CD = 14cm are two chords of the circle. Which chord is farther away from the centre?
    Solution
    The length of a chord increases as the perpendicular distance from the center of the circle to the chord decreases and vice versa. The diameter is the longest chord of a circle, where the perpendicular distance from the center of the circle to the diameter(longest) is zero.

    Hence, CD is farther away from centre
  • Question 2
    1 / -0
    How many circles can be drawn using given three collinear points?
    Solution

  • Question 3
    1 / -0
    If three points are collinear, then we can draw a circle using given points.
  • Question 4
    1 / -0
    In the given image, in which of figure, we can draw another circle using the vertices of triangle different from already existing circle?

  • Question 5
    1 / -0
    How many circles can be drawn using given three non-collinear points?
    Solution

  • Question 6
    1 / -0
    Given that $$A(1,0), B(3,6), C(2,1).$$ Can we draw a circle using points $$A,B$$ and $$C.$$
  • Question 7
    1 / -0
    How many points are sufficient to determine a circle?
    Solution

  • Question 8
    1 / -0
    How many circles pass through one given point?
    Solution

  • Question 9
    1 / -0

    The centres of a set of circle,

    each of radius $$ 3$$, lies on the circle $$x^2 + y^2 = 25$$. The locus of any

    point in the set is

  • Question 10
    1 / -0
    The perpendicular from the centre of the circle _____ the chord.
    Solution

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