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In triangle ABC, P is the mid-point of s...

In triangle ABC, P is the mid-point of side BC. A line through P and parallel to CA meets AB at point Q and a line through Q and parallel to BC meets median AP at point R. Prove that :
`AP=2AR`

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ICSE-MID-POINT AND ITS CONVERSE(INCLUDING INTERCEPT THEOREM)-EXERCISE 12(A)
  1. The following figure shows a trapezium ABCD in which AB // DC. P is th...

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  2. The figure, given below, shows a trapezium ABCD. M and N are the mid-p...

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  3. The figure, given below, shows a trapezium ABCD. M and N are the mid-p...

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  4. The figure, given below, shows a trapezium ABCD. M and N are the mid-p...

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  5. The diagonals of a quadrilateral intersect at right angles. Prove that...

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  6. L and M are the mid-points of sides AB and DC respectively of parallel...

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  7. ABCD is a quadrilateral in which AD = BC. E, F, G and H are the mid-po...

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  8. A parallelogram ABCD has P the mid-point of DC and Q a midpoint of AC ...

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  9. A parallelogram ABCD has P the mid-point of DC and Q a point of AC suc...

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  10. D, E and F are the mid-points of the sides AB, BC and CA respectively ...

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  11. In triangle ABC, P is the mid-point of side BC. A line through P and p...

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  12. In triangle ABC, P is the mid-point of side BC. A line through P and p...

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  13. In trapezium ABCD, AB is parallel to DC. P and Q are the mid-points of...

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  14. In trapezium ABCD, AB is parallel to DC. P and Q are the mid-points of...

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  15. In a triangle ABC, AD is a median and E is mid-point of median AD. A l...

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  16. D and F are the mid-points of sides AB and AC of a triangle ABC. A lin...

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  17. D and F are the mid-points of sides AB and AC of a triangle ABC. A lin...

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  18. In Delta ABC, AD is the median and DE is parallel to BA, where E is a ...

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  19. In A ABC, E is mid-point of the median AD and BE produced meets side A...

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  20. In the given figure, M is mid-point of AB and DE, whereas N is mid-poi...

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