In the given figure, PA is tangent to the circle. If PC intersects the circle at B and PB = 9 cm and BC =7cm, PA = ______ cm.

18 cm

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16 cm

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12 cm

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10 cm

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Solution

The correct option is C
12 cm

PA is tangent to the circle (given)

$P A^{2} = P B \times P C$

$P A^{2} = 9 \times (9 + 7)$

$P A^{2} = 9 \times 16$

$P A = \sqrt{3^{2} \times 4^{2}}$

$P A = 12 c m$

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In the given figure, PA is tangent to the circle. If PC intersects the circle at B and PB = 9 cm and BC =7cm, PA = ______ cm.

The correct option is C 12 cm PA is tangent to the circle (given) PA2=PB×PC PA2=9×(9+7) PA2=9×16 PA=√32×42 PA=12 cm

The correct option is C
12 cm

PA is tangent to the circle (given)

$P A^{2} = P B \times P C$

$P A^{2} = 9 \times (9 + 7)$

$P A^{2} = 9 \times 16$

$P A = \sqrt{3^{2} \times 4^{2}}$

$P A = 12 c m$