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If the length of diagonal of a square is...

If the length of diagonal of a square is `sqrt32`cm, then calculate the area of the square.

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CALCUTTA BOOK HOUSE-THEOREMS RELATED TO CYCLIC QUADRILATERAL -Example (Long-answer type questions)
  1. In the adjoining figure , the diagonals of the cyxlic quadrilateral P...

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  2. The side AB of the cyclic quadrilateral ABCD is extended to X . If an...

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  3. If the length of diagonal of a square is sqrt32cm, then calculate the ...

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

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  5. Two straight lines are drawn through any point X and exterior to a cir...

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  6. Two circles intersect each other at the points G and H . A straight li...

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  7. In traangle ABC , AB =AC and E is any point on the extended BC . If th...

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  8. ABCD is a cyclic quadrilateral .The chord DE is the external bisector ...

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  9. BE and CF are perpendicular on sides AC and AB of triangles ABC respec...

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  10. ABCD is parallelogram A circle passing through the points A and B inte...

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  11. ABCD is a cyclic quadrilateral. The two sides AB and CD are produced t...

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  12. O is the orthocentre of the DeltaABC . Prove that O is also the incen...

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  13. ABCD is a cyclic quadrilateral such that AC bisects angleBAD . AD is ...

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  14. In two circles , one circle passes through the centre O of the other c...

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  15. Prove that cyclic paralleloram must be a retangle.

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  16. Prove that any four vertices of regular pentagon are concyclic .

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  17. ABCD is a cyclic quadrilateral. The side BC of it is extended to E . ...

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  18. AB is a diameter of a circle. PQ is such a chord of the circle that it...

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  19. ABCD is a cyclic quarilateral. The bisectors of angleaandangleC in ter...

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  20. DeltaABC is an acute angle triangle inscribed in a circle in a circle ...

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