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In the given figure, PAB is a secant and PT is a tangent to the circle from P. If PT = 5 cm, PA = 4 cm and AB = x cm, then x is
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4 cm. 9 -
9 cm. 4 - 5 cm
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2 cm. 3
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Correct Option: B
From the given figure in question ,
Given , PT = 5 cm, PA = 4 cm and AB = x cm,
Secant PB = (4 + x) cm.
As we know that ,
∴ PA. PB = PT²
⇒ 4 (4 + x) = 5² = 25
⇒ 16 + 4x = 25
⇒ 4x = 25 – 16 = 9
⇒ x = | cm. | |
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