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If all the side of a parallelogram to...

If all the side of a parallelogram touch a circle, show that the parallelogram is a rhombus.          OR Prove that a parallelogram circumscribing a circle is a rhombus.

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RD SHARMA-CIRCLES-All Questions
  1. In Fig. 10.21, two circles touch each other at the point C . Prove ...

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  2. A circle touches all the four sides of a quadrilateral A B C D . Pr...

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  3. If all the side of a parallelogram touch a circle, show that the pa...

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  4. The radius of the incircle of a triangle is 4 cm and the segments i...

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  5. Prove that the tangents at the extremities of any chord make equal ...

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  6. Two tangents T P and T Q are drawn to a circle with centre O fro...

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  7. P Q is a chord of length 8 cm of a circle of radius 5 cm. The tange...

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  8. In Fig. 10.32, l and m are two parallel tangents at A and B . Th...

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  9. Prove that the angle between two tangents drawn from an external po...

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  10. Show that tangent lines at the end points of a diameter of a circle...

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  11. Two concentric circles are of radii 5 cm and 3 cm. Find the length ...

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  12. A circle touches the sides of a quadrilateral A B C D at P ,\ Q ,\ ...

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  13. Find the locus of the centres of circles which touch a given line a...

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  14. Find the locus of centres of circles which touch two intersecting l...

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  15. If P T is a tangent at T to a circle whose centre is O and O P=1...

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  16. Find the length of a tangent drawn to a circle with radius 5 cm, fr...

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  17. A point is 26 cm away from the centre O of a circle and the leng...

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  18. If from any point on the common chord of two intersecting circles, ...

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  19. If the sides of a quadrilateral touch a circle, prove that the sum ...

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  20. If A B ,\ A C ,\ P Q are tangents in Fig. 10.51 and A B=5c m , find...

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