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in Circles by (34.5k points)
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In the adjacent figure, x =

(A) 5.8 cm 

(B) 6.8 cm 

(C) 4.8 cm 

(D) 3.8 cm

2 Answers

+1 vote
by (66.4k points)
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Best answer

Correct option is: (C) 4.8 cm

\(\because\) PD is tangent to circle and PAB is secant.

\(\therefore \, PA.PB = PD^2\)

\(5 (5 + x) = 7^2 = 49\).

\(5 + x = \frac {49} 5 = 9.8\)

= x = 9.8 -5 = 4.8 cm.

+1 vote
by (35.6k points)

Correct option is: (C) 4.8 cm

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