Notifications
Clear all
Circle
1
Posts
2
Users
0
Likes
248
Views
0
19/06/2021 11:06 am
Topic starter
A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm. Length PQ is :
(A) 12 cm
(B) 13 cm
(C) 8.5 cm
(D) √119 cm
1 Answer
0
19/06/2021 11:13 am
Correct option: (D) √119 cm
Explanation:
In the above figure, the line that is drawn from the centre of the given circle to the tangent PQ is perpendicular to PQ.
And OP ⊥ PQ
Using Pythagoras theorem in triangle ΔOPQ we get,
OQ2 = OP2 + PQ2
(12)2 = 52 + PQ2
PQ2 = 144 - 25
PQ2 = 119
PQ = √119 cm
So, √119 cm is the length of PQ.