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In DeltaABC, the bisector of /ABC inters...

In `DeltaABC`, the bisector of `/_ABC` intersects `AC` at the point `P`. Prove that `CB: BA=CP:PA`.

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In DeltaPQR , /_Q=2/_R , The bisector of /_PQR intersects PR at the point D . Prove that PQ*QR=QD.PR .

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In an isosceles triangle ABC, with AB = AC, the bisectors of /_ B and /_ C intersect each other at O. Join A to O. Show that : (i) OB = OC (ii) AO bisects /_A

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CALCUTTA BOOK HOUSE-SIMILARITY-Exercise 5.1
  1. If two or more than two triangles be equiangular and the ratios of the...

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  2. If the shapes and sizes of two or more than two triangles be the same,...

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  3. A straight line parallel to any side of any triangle divides other two...

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  4. PQRS is a trapezium of which PS||QR. Its two diagonals PR and QS inter...

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  5. In DeltaABC a straight line parallel to BC intersects the sides AB and...

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  6. The line segments AB and PQ intersect each other at the point C. AP an...

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  7. In DeltaPQR, /QPR=90^(@) and PDbotQR. If PR=8cm and PQ=6cm, then find ...

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  8. In trapezium PQRS, PQ||SR. If PQ=6cm, SR=9cm and QS=15cm and the point...

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  9. In trapezium PQRS, PQ||SR. If PQ=4 units , SR=6units . If the diagona...

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  10. In DeltaPQR, A and B are two such points on PQ and PR respectively tha...

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  11. In the right-angled triangle ABC, /B=90^(@) and the points D and E are...

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  12. PSis perpendicular on the hypotenuse QR of the right-angled triangle P...

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  13. In DeltaPQR, D and E are two such points on the sides PQ and PR that D...

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  14. In DeltaABC, the bisector of /ABC intersects AC at the point P. Prove ...

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  15. In trapezium ABCD, AB and DC are parallel. A straight line parallel to...

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  16. D is any point on the side BC of the DeltaABC. P and Q are the centroi...

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  17. Prove that the line segment obtianed by joining the midpoints of two t...

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  18. In DeltaABC, the bisector AD of /BAC intersects BC at D. Prove that t...

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  19. Write the following sentences true or false: Square and rhombuses are ...

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  20. AB=6.4cm. It is divided internally and externally at the points P and ...

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