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In the figure, sides of triangle ABC are...

In the figure, sides of `triangle ABC` are tangents to the circle touching the circle at points P, Q abd R as shown. If AQ=3 cm, BR=7 cm and PC= 4 c m, then perimeter of `triangle ABC` is

A

14 cm

B

28 cm

C

20 cm

D

connot be determined

Text Solution

Verified by Experts

The correct Answer is:
B

Here AR=AQ=3 cm,BP=BR=7 cm, CP=CQ=4 cm
`" ""………"(" Tangent segment theorem ")`
So, AB=10 cm, BC=11 cm and AC=7 cm
`:. " perimeter of " triangle ABC=10+11+7=28` cm.
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-CIRCLE-EXAMPLES FOR PRACTICE
  1. If tangents PA and PB from a point P to a circle with centre O are inc...

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  2. If TP and TQ are two tangents to a circle with centre O , so that /PO...

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  3. In the figure, sides of triangle ABC are tangents to the circle touchi...

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  4. AP is tangent to the circle with centre O at point A. OP =10 cm and /...

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  5. In the given figure, if AP= PB, then

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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