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The side AB, BC and CA of triangle ABC t...

The side AB, BC and CA of triangle ABC touch a circle at P,Q and R respectively. If PA =4 cm, BP=3 cm and AC=11 cm, then length of BC is

A

11 cm

B

10 cm

C

14 cm

D

15 cm

Text Solution

Verified by Experts

The correct Answer is:
B

BQ=BP=3 cm
`" ""……….."(" Tangent segment theorem ")`
AR=AP=4 cm
`:.CR=AC-AR: 11-4=7` cm.
CQ=CR=7 cm
`" ""………"(" Tangent segment theorem ")`
BC=BQ+QC
`:.BC=3+7` cm
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-CIRCLE-EXAMPLES FOR PRACTICE
  1. In the given figure, if AP= PB, then

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

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  3. The side AB, BC and CA of triangle ABC touch a circle at P,Q and R res...

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  4. In the figure, if /ABC = 60^(@) , then /AOC =

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  5. In the figure, chords AD and BC intersect each other at right angles a...

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  6. PQRS is a cyclic uadrilateral such that PR is the diameter of the circ...

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  7. In the figure, O is the centre of the circle such that /AOC-140^(@), ...

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  8. If P,Q,R are three points which lie on the circle with centre O such t...

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  9. In the figure, chords PQ and RS intersect at T as shown. If /PSR=42^(@...

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  10. In the figure, square PQRS is cyclic, /SPQ=7x^(@) and /SRQ=11x^(@), t...

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  11. In the figure, /QPR has its vertex outside the circle such that m(arc ...

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  12. In the figure, chord AB and chord CD intersect at point M inside the c...

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  13. In the figure, ray PT touches the circle at point T and line PAB is se...

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  14. Find the length of tangent segment drawn to a circle with radius 5 cm ...

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  15. In the figure, line RS is tangent at point Q. If /PQS=65^(@) find m(ar...

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  16. In the figure, line TA is tangent at point T, /PAT=30^(@) and PA=7.8...

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  17. Two circles of radius 5 cm and 4 cm touch each other. Find the distanc...

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  18. In the figure, two concentric circles are given and line AB is tangent...

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  19. In the figure, seg AB is the diameter of the circle, /ABC=30^(@), Find...

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  20. In the figure, a tangent segment PA touches the circle at point A and ...

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