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Line l touches a circle with centre O at point P. If radius of the circle is 9cm, answer the following.
(i) What is d(O,P)=? Why?
(ii) If d(O,Q)=8cm, where does the point Q lies
(iii) If d(O,R)=15cm, how many locations of point R are on line l? At what distance will each of them be from point P?

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The correct Answer is:
(i)`therefore d(O,P)=9cm` (ii) Points Q lies in the interior of the circle.(iii) `therefore` Each location of point R will be at a distance of 12 cm from point P.
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TARGET PUBLICATION-CIRCLE-Problem Set-3
  1. /ACB is inscribed in arc ACB of a circle with centre O . If /ACB= 65^...

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  2. Chords AB and CD of a circle interset inside the circle at point E. ...

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  3. In a cyclic square ABCD, twice the measure of /A is thrice the measu...

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  4. Points A,B,C are on a circle, such that m( arc AB ) = m ( arc BC ) =12...

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  5. Seg XZ is a diameter of a circle. Point Y lies in its interor. How man...

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  6. Line l touches a circle with centre O at point P. If radius of the cir...

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  7. In the figure, M is the centre of the circle and seg KL is a tangent ...

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  8. In the adjoining figure, O is the centre of the circle. Seg AB, seg AC...

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  9. In the figure, square ABCD is a parallalogram. It circumscribes the ci...

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  10. In the figure, circle with centre M touches the circle with centre N a...

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  11. Two circles intersect each other at the points P and Q. Two straight l...

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  12. In the figure, line l touches the circle with centre O at point P. Q i...

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  13. Prove the any three points on a circle cannot be collinear .

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  14. In the figure, (1) m (arc CE ) = 54^(@), m (arc BD ) 23^(@), find ...

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  15. In the adjoining figure ,chord EF || chord GH. Prove that, chord EGcon...

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  16. In the adjoining figure , circles with centres C and D touch internall...

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  17. In the adjoining figure, seg AB is a diameter of a circle with centre ...

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  18. In the figure, seg MN is a chord of a circle with centre O. MN = 15, L...

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  19. In the given figure two circles touch each other at the point C. Prove...

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  20. Two circles intersect each other at the points P and Q. Two straight l...

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