SSC CGL Model Paper 17

Question : 69 of 99

Marks: +1, -0

PQ and PR are the tangent to the circle having diameter 10 cm. and center O. RQ is the chord. If OP intersects the chord at a point M. Find the length of OM, Given that PQ is equal to 12 cm.

$12/5$
$4/5$
$25/13$
None of these

Validate

Solution:

ΔOQP is a right angled triangle,
⇒ OP = 13
⇒ In ΔOQP and ΔQMO
Let OM = x

13/5=5/x⇒x=25/13

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