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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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MODERN PUBLICATION-QUADRILATERALS-EXERCISE
  1. In Fig. , ABCD is a parallelogram in which P is the mid-point of DC ...

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  2. Three angles of a quadrilteral are respectively 50^@ and 110^@ and 100...

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  3. The angle of a quadrilateral are in the ratio 2: 4: 5: 7. find the ang...

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  4. In the quad. ABCD is a point inside it. Find that OA+OB+OC+OD>AC+BD.

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  5. In the fig. BLbotAC and DMbotAC. If BL=LM prove that AC bisects BD

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  6. In the fig. ABCD is a square and anglePQR=90^@ PB=QC=DR, prove that:QB...

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  7. In the fig. ABCD is a square and anglePQR=90^@ PB=QC=DR, prove that:PQ...

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  8. In the fig. ABCD is a square and anglePQR=90^@ PB=QC=DR, prove that:an...

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  9. ABCD is a quadrilateral whose diagonals AC and BD intersect at O, prov...

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  10. ABCD is a quadrilateral whose diagonals AC and BD intersect at O, prov...

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

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  12. In a parallelogram, prove that sum of any two consecutive angles is 18...

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  13. If an angle of a parallelogram is two thid of its adjacent angle, find...

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  14. In the fig. ABCD is a parallelogram in which angleDAB=60^@ and angleDB...

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  15. In the fig. ABCD is a parallelogram in which angleBAO=35^@, angleDAO=4...

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  16. In the fig. ABCD is a parallelogram in which angleBAO=35^@, angleDAO=4...

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  17. In the fig. ABCD is a parallelogram in which angleBAO=35^@, angleDAO=4...

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  18. In the fig. ABCD is a parallelogram in which angleBAO=35^@, angleDAO=4...

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  19. The diagonals of a rhombus are perpendicular to each other .

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  20. The diagonals of a rectangle ABCD meet at o and angleBOC=44^@ and find...

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  21. ABCD is a rectangle with angleABD=40^@ determine angleDBC.

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