In the given figure PA -4 cm and PB -9 cm- the value of PT is equal toA- 5 cmB- 6 cmC- 4 cmD- 7 cm

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Standard X

Mathematics

Tangent Secant Segments Theorem

In the given ...

Question

In the given figure PA = 4 cm and PB = 9 cm, the value of PT is equal to

4 cm

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5 cm

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6 cm

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7 cm

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Solution

The correct option is C 6 cm
If a secant AB and tangent at the point T of a circle intersect at a point P outside the circle then $P A \times P B = P T^{2}$
Substituting the value we get
$4 \times 9 = P T^{2}$
$P T^{2} = 36$
$P T = 6 c m$

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In the given figure PA = 4 cm and PB = 9 cm, the value of PT is equal to

The correct option is C 6 cmIf a secant AB and tangent at the point T of a circle intersect at a point P outside the circle then PA×PB=PT2 Substituting the value we get 4×9=PT2 PT2=36 PT=6 cm

The correct option is C 6 cm
If a secant AB and tangent at the point T of a circle intersect at a point P outside the circle then $P A \times P B = P T^{2}$
Substituting the value we get
$4 \times 9 = P T^{2}$
$P T^{2} = 36$
$P T = 6 c m$