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In figure, P is the mid-point of B C ,Q ...

In figure, `P` is the mid-point of `B C ,Q` is the mid-point of `B C ,Q` is the mid-point of `A P` , such that `B Q` produced meets `A C` at `Rdot`

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In figure, P is the mid-point of B C , ,Q is the mid-point of A P , such that B Q produced meets A C at Rdot Prove that 3RA= CA

In the figure, given below, 2AD=AB,P is the mid-point of AB, Q is the mid-point of DR and PR||BS . Prove that : AQ||BS

In Figure, A B C D is a parallelogram in which P is the mid-point of D C and Q is a point on A C such that C Q=1/4A Cdot If P Q produced meets B C at Rdot Prove that R is a mid-point of B Cdot

In Figure, if A B||D C\ a n d\ P is the mid-point B D , prove that P is also the midpoint of A C

In the figure, given below, 2AD=AB,P is the mid-point of AB, Q is the mid-point of DR and PR||BS . Prove that : DS=3RS

In Figure, A B C D is a parallelogram in which P is the mid-point of D C\ a n d\ Q is a point on A C such that C Q=1/4A C . If P Q produced meets B C\ a t\ R , prove that R is a mid-point of B C .

In the figure, given below, 2AD = AB, P is mid-point of AB, Q is mid-point of DR and PR // BS. Prove that: AQ//BS

D is the mid-point of side B C of triangle A B C and E is the mid-point of B D . If O is the mid-point of A E , prove that a r(triangle B O E)=1/8a r(triangle A B C) .

D is the mid-point of side B C of \ A B C\ a n d\ E is the mid-point of B Ddot If O is the mid-point of A E , prove that a r\ (\ B O E)=1/8a r\ (\ A B C)

In the figure, given below, 2AD = AB, P is mid-point of AB, Q is mid-point of DR and PR // BS. Prove that: DS=3RS

NAGEEN PRAKASHAN ENGLISH-TRIANGLES -Exercise 6a
  1. Da n dE are respectively the points on the side A Ba n dA C of a A B ...

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  2. In a A B C , D and E are points on the sides A B and A C respective...

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  3. In Fig. if P Q|| B C and P R|| C D . Prove that (i) (A R)/(A D)=(A...

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  4. In the given figure DE||AC and DC||AP. Prove that (BE)/(EC) = (BC)/(C...

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  5. In a A B C ,D and E are points on sides A B a n d A C respectively su...

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  6. In A B C ,\ D and E are points on sides A B and A C respectively ...

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  7. In the given figure, if DE||AQ and DF||AR. Prove that EF||QR.

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  8. In the given figure A, B and C are points on OP, OQ and OR respectivel...

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  9. Prove that the diagonals of a trapezium divide each other proportional...

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  10. In triangleABCthe bisector of angleB meets AC at D. A line PQ||AC meet...

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  11. The diagonals of a quadrilateral ABCD intersect each other at the poi...

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  12. In the given figure AD is the bisector of angleA. If BD= 4 cm , DC = 3...

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  13. The bisector of interior /A of A B C meets B C in D , and the bisecto...

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  14. A D is a median of A B C . The bisector of /A D B and /A D C meet A B...

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  15. If the bisector of an angle of a triangle bisects the opposite side...

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  16. D ,\ E and F are the points on sides B C ,\ C A and A B respectivel...

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  17. If the diagonal BD of a quadrillateral ABCD bisects both angleB and an...

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  18. Prove that the line segments joints joining the mid-points of the a...

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  19. In figure, P is the mid-point of B C ,Q is the mid-point of B C ,Q is ...

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  20. In Figure, A B C D is a parallelogram in which P is the mid-point of D...

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