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If a number of circles pass through the end points P and Q of a line segment PQ, then their centres lie on the perpendicular bisector of PQ.

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AGRAWAL PUBLICATION-CIRCLES-EXAMPLE
  1. If a number of circles pass through the end points P and Q of a line s...

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  2. AB is the diameter of a circle and AC is its chord such that angle BAC...

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  3. A circle is inscribed in an isosceles triangle ABC with AB = AC, touch...

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  4. In the figure, form a point P, two tangents PT and PS are drawn to a c...

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  5. In the figure, a circle is inscribed in a triangle ABC, such that it t...

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  6. In the figure, AP and BP are tangents to a circle with centre O, such ...

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  7. Prove that the rectangle circumscribing a circel is a square.

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  8. In given figure, a quadrilateral ABCD is drawn to circumscribe a cirle...

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  9. In the figure, O is the centre of the circle. PQ is a chord and PT is ...

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  10. PQ is a tangent drawn from an external point P to a circle with centre...

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  11. In given figure, two tangents RQ and RP are drawn from an external poi...

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  12. Prove that the tangents drawn at the end points of a chord of a circle...

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  13. In the figure given, there are two concentric circles with centre O. P...

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  14. In the given figure, a circle touches the side BC of tiangle ABC at F ...

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  15. From an external point P, tangents PA and PB are drawn to a circle wit...

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  16. If the angle between two tangents drawn from an external point P to a ...

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  17. In the figure, angle ADC = 90^@ BC = 38 cm, CD = 28 cm and BP = 25 m....

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  18. If a circle touches the side BC of a triangle ABC at P and extended si...

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  19. Out of two concentric circles, the radius of the outer circle is 5 cm ...

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  20. In given figure two circle touch each othe at point C. prove that comm...

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