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In triangle ABC, angleABC=angleACB. The ...

In triangle ABC, `angleABC=angleACB`. The bisectors of `angleABCandangleACB` intersect AC and AB at E and F respectively. Prove that FE||BC.

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CALCUTTA BOOK HOUSE-THEOREMS ON AREAS-EXERCISE-3
  1. In triangle ABC, angleABC=angleACB. The bisectors of angleABCandangleA...

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  2. D is any point on the side QR of the parallelogram PQRS. DeltaPQDandDe...

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  3. E is any point on the side BC of the parallelogram ABCD. If DeltaABEan...

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  4. The ratio of the areas of a triangle and a parallelogram having the sa...

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  5. The area of a rhombus is the area of a triangle having same base and ...

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  6. The length of the base AB of the parallelogram ABCD is 10 cm. If the a...

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  7. P is any point on the side BC of the parallelogram ABCD. Extended DP i...

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  8. A parallelogram of area P, a rhombus of area R and a triangle of area ...

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  9. In the trapezium ABCD, AB || DC (ABltDC)andAEbotDC. If AB = a, DC = b ...

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  10. P, Q, R and S are the mid-point of the sides AB, BC, CD and DA of the ...

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  11. If the length of the diagonals AC and BD of a rhombus ABCD be a cm and...

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  12. E and F are the mid-points of the sides AB and DC of the parallelogram...

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  13. The points B, C and R of the parallelograms ABCD and CPQR are collinea...

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  14. ABCD is a quadrilateral. AP is a line segment drawn through A and para...

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  15. AD is a medium of DeltaABC. If the area of DeltaACD be x sq.cm, then f...

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  16. Find the area of a parallelogram having base 15 cm and hight 8.2 cm.

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  17. The ratio of the base and height of a triangle is 7 : 6, the sum of it...

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  18. O is any point inside the equilateral triangle ABC. The perpendicular ...

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  19. Find the co ordinate on the Y axis cut by the straight line 2x+3y=12

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  20. The area of the parallelogram ABCD is 44 sq.cm. P is the mid-point of ...

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  21. A square and a rhombus stand on the same base of length 10 cms. Show t...

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