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In the given figure, O is the centre of ...

In the given figure, `O` is the centre of two concentric circles of radii `5cm` and `3cm`. From an external point `P` tangents `PA` and `PB` are drawn to these circles. If `PA=12cm` then `PB` is equal to

A

`5sqrt(2)cm`

B

`3sqrt(5)cm`

C

`4sqrt(10)cm`

D

`5sqrt(10)cm`

Text Solution

Verified by Experts

Join `OB`. Then, `OA=5cm`, `OB=3cm`. ltbr `OP=sqrt(OA^(2)+PA^(2))=sqrt(5^(2)+12^(2))=13cm`
`PB=sqrt(OP^(2)-OB^(2))=sqrt(13^(2)-3^(2))=sqrt(160)cm=4sqrt(10)cm`.
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RS AGGARWAL-CIRCLES-Multiple-choice questions (MCQ)
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  2. In the given figure, PQ is a tangent to a circle with centre O. A is t...

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  3. In the given figure, two circles touch each other at C and AB is a tan...

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  4. O is the centre of a circle of radius 5cm. At a distance of 13cm from ...

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  5. In the given figure, PQR is a tangent to the circle at Q, whose centre...

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  6. In the given figure, O is the centre of a circle, BOA is its diameter ...

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  7. In the figure, a circle touches the side DF of triangle EDF at H and t...

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  8. In the figure, O is the centre of a circle,PQL and PRM are the tangent...

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  9. In the given figure, a triangle PQR is drawn to circumscribe a circle ...

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  10. In the given figure, QR is a common tangent to the given circles, touc...

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  11. In the given figure, quad. ABCD is circumscribed, touching the circle ...

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  12. In the given figure, quadrilateral ABCD is circumscribed, touching the...

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  13. In the given figure, O is the centre of a circle , AB is a chord and A...

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  14. In the given figure, a circle is inscribed in a quadrilateral ABCD tou...

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  15. In the given figure, DeltaABC is right-angled at B such that BC=6cm an...

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  16. In the given figure, PA and PB are tangents to the given circle such t...

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  17. In the given figure, DE and DF are tangents from and external point D ...

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  18. In the given figure, three circles with centres A, B, C respectively t...

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  19. In the given figure, AP, AQ and BC are tangents to the circle. If AB=5...

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  20. In the given figure, O is the centre of two concentric circles of radi...

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