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Two circles touch each other externally at point P. Q is a point on the common tangent through P. Prove that the tangents QA and QB are equal.

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In the given figure, two circles touch each other externally at point P. AB is the direct common tangent of these circles. Prove that: (i) tangent at point P bisects AB (ii) angle APB=90^(@)

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Knowledge Check

  • Two circles with radii 25 cm and 9 cm touch each other externally. Find the length of the direct common tangent.

    A
    32 cm
    B
    50 cm
    C
    40 cm
    D
    30 cm

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