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In the adjoining figure, two circles int...

In the adjoining figure, two circles intersect each other at point M and N. Secants drawn from point M and N intersect cirlces at point R, S, P and Q as shown in the figure. Prove that seg PR || seg QS

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`therefore`seg SQ`||`seg RP
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In the adjoining figure ,two circles intersect at points M and N. | Secants drawn through M and N intersect the circles at points R,S and P,Q respectively. Prove that: seg SQ || seg RP.

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In the adjoining figure, two circles intersect each other at points A and E. Their common secant through E intersects the circle at points B and D. The tangents of the circles at point B and D intersect each other at point C. Prove that square ABCD is cyclic.

In the adjoining figure, two circles intersect each other in point R and point S. Line PQ is a common tangent touching circle at points P and Q. Prove that /_PRQ+/_PSQ=180^@

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In the adjoining figure. Chord MN and chord RS intersect each other at point P. If PR=6,Ps=4, MN=11, find PN.

In the adjoining figure, chord MN and RS intersect each other at point D. If RS=18, MD=9, DN=8, then DS=?

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In the adjoining figure, bisector of angleBAC intersects BC at point D. Prove that AB gt BD .

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TARGET PUBLICATION-CIRCLE-Problem Set-3
  1. Length of a tangent segment drawn from a point which is at a distnac...

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  2. If two circles are touching externally,how many common tangents of the...

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  3. /ACB is inscribed in arc ACB of a circle with centre O.If /ACB=65^@,fi...

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  4. Chords AB and CD of a circle intersect inside the circle at point E. I...

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

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  6. Points A,B,C are on circle, such that m(arc AB)=m(arc BC)=120^@. No po...

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

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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 ...

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

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  11. In the adjoining figure, circles with centres X and Y touch internally...

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  12. In the adjoining figure,line l touches the circle at P.O is the centre...

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

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  14. Prove that any three points on a circle cannot be collinear.

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

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  16. A circle with centre C touches the circle with centre D internally in ...

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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 adjoining figure, two circles intersect each other at point M a...

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

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  20. In the adjoining figure, seg AD bot side BC, seg BE bot side AC, seg...

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