In the given figure, PS is a tangent and line PR is a secant to the circle. If PQ = 4.9 cm and QR = 5.1cm, then PS = ______cm.

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4.9

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Solution

The correct option is A 7
$P S^{2} = P Q \times P R$ ...(Tangent secant segments theorem)
$P S^{2} = P Q \times (P Q + Q R)$
= 4.9 (4.9 + 5.1)
= 4.9 x 10 = 49
$∴ P S = 7 c m$

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