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Prove that the length of the …

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Prove that the length of the tangents drawn from an external point to a circle are equal.

    • Posted by Mahesh Nagar 6 years, 9 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Gaurav Seth 6 years, 9 months ago

    Given: A circle with centre O; PA and PB are two tangents to the circle drawn from an external point P.

    To prove: PA = PB

    Construction: Join OA, OB, and OP.

    It is known that a tangent at any point of a circle is perpendicular to the radius through the point of contact.

    OAPA and OBPB ... (1)

    InOPA andOPB:

    OAP =OBP (Using (1))

    OA = OB (Radii of the same circle)

    OP = OP (Common side)

    Therefore,OPAOPB (RHS congruency criterion)

    PA = PB

    (Corresponding parts of congruent triangles are equal)

    Thus, it is proved that the lengths of the two tangents drawn from an external point to a circle are equal.

    0Thank You

    Harsimran Singh ? 6 years, 9 months ago

    See in ncert....yahan par figure draw nahi kr skte..

    2Thank You

    ANSWER
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