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Prove that the line of centres of two in...

Prove that the line of centres of two intersecting circles subtends equal angles at the two points of intersection.

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Prove that the line of centres of two intersecting circles subtends equal angles at the two point of intersection.

Prove that if chords of congruent circles subtend equal angles at their centre then the chords are equal.

Knowledge Check

  • The maximum number of points of intersection of 7 circles is

    A
    1)40
    B
    2)21
    C
    3)42
    D
    4)41

  • Angle of intersection of two circles is given by :

    A
    `cos theta =(r_1^2+r_2^2-d^2)/(r_1^2r_2^2)`
    B
    `sec theta =(r_1^2+r_2^2-d^2)/(2r_1^2r_2^2)`
    C
    `sec theta =(2r_1r_2)/(r_1^2+r_2^2-d^2)`
    D
    None of these

    • Similar Questions

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    Recall that two circles are congruent, if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres

    If two equal chords of a circle intersect within the circle, prove that the line joining the point of intersection to the centre makes equal angles with the chords.

    If two equal chords of a circle intersect within the circle, prove that the line joining the point of intersection to the centre makes equal angles with the chords.

    Prove that opposites of a quadrilaterial circumscribing a circle subtend supplementary angles at the centre of the circle.

    Let A be one point of intersection of two intersecting circles with centres O and Qd . The tangents at A to the two circles meet the circles again at B and C respectively. Let the point P be located so that AOPQ is a parallelogram. Prove that P is the circumcentre of the triangle ABC.

    Prove that opposite sides od a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle

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