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As shown in the adjoining figure , two c...

As shown in the adjoining figure , two circles centred at A and B are touching at C. Line passing through C intersects the two circles at M and N respectively.
Show that seg AM `||`seg BN.

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In the figure, the circles with centers P and Q touch each other at R.A line passing through R meets the circles at A and B respectively. Prove that seg AP || seg BQ

In 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.

In the 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.

In the figure, circles with centres X and Y touch each other at point Z. A secant passing through Z intersects the circles at points A and B respectively. Prove that, raduis XA || radius YB. Fill in the blanks and complete the proof:

In figure,ABE is a in which AE=BE .Circle passing through A and B intersects AE and BE at D and C respectively.Prove that DC| AB.

In the figure , circles with centres X and Y touch internally at point Z. Seg BZ is the chord of bigger circle and it intersects smaller k circle at point A. Prove that seg AX || seg BY.

In the figure, the circles with centeres A and B touch each other at E. Line l is a common tangent which touches the circles at C and D respectively. Find the length of seg CD, if the radii of the circle are 4 cm, 6 cm.

In the given figure two circles intersect at two points B and C. Two line segments ABD and PBQ passing through point B, intersects circles respectively at A, D and P, Q . Prove that angle ACP = angle QCD

In the adjoining figure , circles with centres C and D touch internally at point E. D lies on the inner circle. Chord EB of the other circle intersects innet circle at point A. Prove that, seg EA cong seg AB.

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TARGET PUBLICATION-CIRCLE-Additional Problems for Practice
  1. A circle of radius 2 cm touches a circle of radius 10cm internally. De...

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  2. In the adjoining figure , line PQ is a common tangent to the externall...

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  3. As shown in the adjoining figure , two circles centred at A and B are ...

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  4. In the adjoining figure, points A, B,C and D are on the circle . The m...

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  5. In the adjoining figure, P is the circumcentre of the DeltaABC.mangle ...

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  6. In the adjoining figure, chord LMcong chord LN, angleL=35^@ find (i)...

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  7. In the adjoining figure, A,B and C are three points on a circle with c...

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  8. In the adjoining figure, O is the centre, seg PQ is diameter , line AQ...

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  9. In the adjoining figure, m (arc XAZ)=m(arc YBW). Prove that : XY||ZW

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  10. In a cyclic quadrilateral ABCD, angleB=(5x+40)^@ and angleD=(8x+23)^@,...

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  11. square ABCD is a cyclic quadrilateral . m (arc ABC) =230^@ . Find angl...

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  12. The quadrilateral formed by angle bisectors of a cyclic quadrilateral ...

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  13. In the figure , if m ( arc DXE 0 = 100^(@) and m (arc AYC ) = 40^(@)...

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  14. In the adjoining figure, seg AB and seg AD are chords of the circle . ...

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  15. In the given figure PA=6, PB=4 and PC=8. Find PD.

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  16. In the adjoining figure. Chord MN and chord RS intersect each other at...

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  17. In the adjoining figure , chords HI and KJ intersect at point L. If KL...

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  18. In the adjoining figure, chords CB and ED intersect each other in poin...

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  19. In the adjoining figure ,seg PS is a tangent segment. Line PR is a sec...

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  20. In the given figure, a tangent segment PA touching a circle in A and a...

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