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In Fig. , ABCD is a parallelogram in w...

In Fig.
,
ABCD is a parallelogram in which P is the mid-point of DC and Q is a point on AC such that `CQ = 1/4AC`. If PQ produced meets BC at R, prove that R is a mid-point of BC.

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MBD-Quadrilaterals-Exercise
  1. In given Fig. , DeltaABC is isosceles with AB = AC. D, E, F are the ...

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  2. In DeltaABC, E and F are the mid-points of AC and AB respectively. The...

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  3. In Fig. , ABCD is a parallelogram in which P is the mid-point of DC ...

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  4. ABCD is a parallelogram. P is any point on AD, such that AP = 1/3AD an...

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  5. In Fig. , ABCD is a trapezium in which AB || DC and P, Q are mid-poi...

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  6. In Fig. , ABCD is a trapezium in which AB || DC and P, Q are mid-poi...

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  7. In Fig. , ABCD is a trapezium in which AB || DC and P, Q are mid-poi...

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  8. What is the value of sina . .

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  9. The triangle formed by joining the midpoints of the sides of an isosce...

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  10. The triangle formed by joining the midpoints of the sides of a right t...

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  11. The figure formed by joining the midpoints of the consecutive sides of...

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  12. If a line is divided by three parallel lines into two segments of leng...

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  13. The bisectors of angles of a parallelogram from a :

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  14. The angles of a quadrilateral are in the ratio 3 : 4 : 5 : 6. The resp...

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  15. If diagonals of a quadrilateral bisect each other at right angles, the...

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  16. If in rectangle ABCD , diagonal AC bisects /A as well as /C , then AB...

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  17. The line-segment joining the mid-points of two sides of a triangle is ...

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  18. Line segment joining the mid-points of the opposite sides of a quadril...

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  19. Three angles of a quadrilateral are 75^@, 90^@ and 75^@. The fourth an...

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  20. A diagonal of a rectangle is inclined to one side of the rectangle at ...

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