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If two circles are drawn taking any two sides to the triangle as diameter then prove that point of intersection of two circles lies on the third side.

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LUCENT PUBLICATION-CIRCLE AND ITS TANGENT LINES-EXERCISE 8B
  1. If two circles are drawn taking any two sides to the triangle as diame...

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  2. Two tangents are drawn from a point P on the circle at point A and B. ...

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  3. If the following figure, O is the centre of the circle and XO is perpe...

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  4. Two circles with radius 4 cm and 9 cm respectively touch each other ex...

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  5. Two tangents drawn at the points A and B of a circle centred at O meet...

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  6. If the length of a chord of a circle , which makes a angle 45^@ with t...

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  7. P and Q are the middle points of two chords (not diameters) AB and AC ...

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  8. In a circle of radius 13 cm , a chord is at a distance of 12 cm from t...

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  9. Two circles with equal radius passes through the centres of each other...

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  10. In DeltaABC angle bisector of angleA, angleB angleC meets cuts circumc...

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  11. If a circle with radius of 10 cm has two parallel chords 16 cm and 12 ...

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  12. Two circles of radii 8 cm and 2 cm respectively touch each other exter...

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  13. ABCD is cyclic quadrilateral. Sides AB and DC, when produced meet at t...

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  14. If a square is inscribed in a circle whose area is 314 sq. cm, then th...

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  15. Two circles with same radius r intersect each other and one passes thr...

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  16. Two circles intersect each other at point P an Q. If PA and PB are two...

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  17. A and B are centres of two circles whose radii are 5 cm and 2 cm respe...

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  18. AC and BC are two equal chords of a circle. BA is produced to any poin...

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  19. Two circles of radius r(1) and r(2) touches externally at point A have...

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  20. BC is a chord to a circle with centre O. A is a point on major are BC ...

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  21. Two circles with radii 5 cm and 8 cm touch each other externally at a ...

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