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D is a point on the side BC of a triangl...

D is a point on the side BC of a triangle ABC such that `/_A D C=/_B A C`. Show that `C A^2=C BdotC D`.

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ICSE-SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)-EXERCISE 15(A)
  1. State, true or false : The diagonals of a trapezium divide each othe...

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  2. Given : /GHE = /DFE = 90^@, DH = 8, DF = 12, DG = 3x - 1 and DE = ...

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  3. D is a point on the side BC of a triangle ABC such that /A D C=/B A C....

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  4. In the given figure, DeltaABC and DeltaAMP are right angled at B and ...

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  5. In the given figure, DeltaABC and DeltaAMP are right angled at B and ...

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  6. Given : RS and PT are altitudes of DeltaPQR. Prove that: Delta PQT ~...

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  7. Given : RS and PT are altitudes of DeltaPQR. Prove that: PQ xx QS = ...

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  8. Given : ABCD is a rhombus, DPR and CBR are straight lines. Pro...

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  9. Given : FB = FD, AE | FD and FC | AD.   Prove that: : (FB)/(AD) = (BC...

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  10. In DeltaPQR, /Q = 90^@ and QM is perpendicular to PR. Prove that : P...

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  11. In DeltaPQR, /Q = 90^@ and QM is perpendicular to PR. Prove that : Q...

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  12. In DeltaPQR, /Q = 90^@ and QM is perpendicular to PR. Prove that : P...

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  13. In Delta ABC, /B = 90^@ and BD | AC. If CD = 10 cm and BD = 8 cm, fi...

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  14. In Delta ABC, /B = 90^@ and BD | AC. If AC = 18 cm and AD = 6 cm, fi...

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  15. In Delta ABC, /B = 90^@ and BD | AC. If AC = 9 cm and AB = 7 cm, fin...

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  16. In the figure, PQRS is a parallelogram with PQ = 16 cm and QR = 10 cm....

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  17. In quadrilateral ABCD, diagonals AC and BD intersect at point E such t...

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  18. In triangle ABC, AD is perpendicular to side BC and AD^2 = BD xx DC. ...

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  19. In the given figure, AB////EF////DC, AB = 67.5 cm, DC = 40.5 cm and AE...

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  20. In the given figure, AB////EF////DC, AB = 67.5 cm, DC = 40.5 cm and AE...

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