Question

PQ is a chord of circle the tangent XR draws at X meets PQ at R when produced if XR=12 cm , PQ=X cm , QR=(X-2) cm then X=______cm​

Answer 1

Answer:

$x = 10$

Step-by-step explanation:

RX is a tangent and PQ is a chord of the circle. 

Now, RX²=RQ×PR

12²=(x−2)(x+x−2)

144=(x−2)(2x−2)

144=2x²−2x−4x+4

2x²-6x−140=0

x²−3x−70=0

x²+7x−10x−70=0

(x−10)(x+7)=0

x=−7,10

x cannot be negative. Hence, x=10

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