📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!

    Question

    From an external point P, two tangents PA and PB are

    drawn to a circle with center O. If OP = 13 cm and the radius of the circle is 5 cm, find the length of each tangent.
    A 12 cm Correct Answer Incorrect Answer
    B 18 cm Correct Answer Incorrect Answer
    C 10 cm Correct Answer Incorrect Answer
    D 14 cm Correct Answer Incorrect Answer

    Solution

    ATQ,

    OP is the distance from center to external point = 13 Radius = 5 OA is perpendicular to PA (radius to the point of tangency). Right triangle OAP: OP2 = OA2 + AP2 132 = 52 + AP2 169 = 25 + AP2 AP2 = 144 AP = 12 cm Length of each tangent = 12 cm.

    Practice Next
    More Circle Questions
    ask-question