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A tangent pq at a point …

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A tangent pq at a point p of a circle of radius 5cm meets a line through the centre o at a point q so that oq is 13 cm.find the length of pq

    • Posted by Kavin Kavin 4 years, 10 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Gaurav Seth 4 years, 10 months ago

    We know that the line drawn from the centre of the circle to the tangent is perpendicular to the tangent.

    ∴OP ⊥ PQ

    By applying Pythagoras theorem in ΔOPQ,

     

    ∴OP2 + PQ2 = OQ2 

    52 + PQ2 =122 

    PQ2 =144 − 25

    PQ =  underroot 119

    Hence, the correct answer is  underroot 119 cm test.

    2Thank You

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