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In DeltaABC, angle ABC is equal to twice...

In `DeltaABC`, angle ABC is equal to twice the angle ACB, and bisector of angle ABC meets the opposite side at point P. Show that :
`CB : BA = CP : PA`

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ICSE-SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)-EXERCISE 15(A)
  1. In quadrilateral ABCD, the diagonals AC and BD intersect each other at...

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  2. In quadrilateral ABCD, the diagonals AC and BD intersect each other at...

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  3. In DeltaABC, angle ABC is equal to twice the angle ACB, and bisector o...

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  4. In DeltaABC, angle ABC is equal to twice the angle ACB, and bisector o...

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  5. In DeltaABC, BM | AC and CN | AB, show that : (AB)/(AC) = (BM)/(CN) ...

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  6. In the given figure, DE////BC, AE = 15 cm, EC = 9 cm, NC = 6 cm and BN...

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  7. In the given figure, DE////BC, AE = 15 cm, EC = 9 cm, NC = 6 cm and BN...

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  8. In the given figure, AD = AE and AD^2 = BD xx EC. Prove that : trian...

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  9. In the given figure, AB////DC, BO = 6 cm and DQ = 8 cm, find: BP xx D...

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  10. Angle BAC of triangle ABC is obtuse and AB = AC. P is a point in BC su...

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  11. State, true or false : Two similar polygons are necessarily congruen...

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  12. State, true or false : Two congruent polygons are necessarily simila...

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  13. State, true or false : All equiangular triangles are similar.

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  14. State, true or false : All isosceles triangles are similar.

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  15. State, true or false : Two isosceles-right triangles are similar.

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  16. State, true or false : Two isosceles triangles are similar, if an an...

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  17. State, true or false : The diagonals of a trapezium divide each othe...

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

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

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

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