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AP||BQ||CR. Prove that ar(AQC) = ar(PBR)...

AP||BQ||CR. Prove that ar(AQC) = ar(PBR)

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In the figure CD||AE and CYA||BA. Prove that : ar(CBX) = ar(AXY)

In the figure PSDA is a parallelogram. Points Q and R are taken on PS such that PQ = QR = RS and PA||QB||RC. Prove that: ar(trianglePQE) = ar(triangleCFD)

In triangleABC , if L and M are the points on AB AC, respectivley such that LM||BC. Prove that ar(LOB) = ar(MOC)

O is any point on the diagonal PR of a parallelogram PQRS. Prove that : ar(PSO) = ar(PQO)

In the figure ABCDE is any pentagon. BP drawn parallel to AC meets DC produced at P and EQ drawn parallel to AD meets CD produced at Q. Prove that : ar(ABCDE) = ar(APQ)

In trapezium ABCD, AB ||DC and L is the mid-point of BC. Through AL, a line PQ||AD has been drawn which meets AB at P and DC produced to Q. Prove that : ar(ABCD) = ar(APQD)

ABCD is a trapezium with AB || DC. A line parallel to AC intersects AB at X and BC at Y. Prove that ar (ADX) = ar (ACY). [Hint : Join CX.]

Two parallelograms ABCD and AEFB are drawn on opposite sides of AB. Prove that ar(||gmABCD) + ar(||gmAEFB) = ar(||gm EFCD)

In Fig. 9.13, ABCD is a parallelogram and EFCD is a rectangle. Also, AL bot DC . Prove that (i) ar (ABCD) = ar (EFCD) (ii) ar (ABCD) = DC × AL

In the figure. ABCD in a trapezium in which AB||DC. Proe that ar(triangleAOD) = ar(triangleBOC)

MODERN PUBLICATION-AREA OF PARALLELOGRAMS AND TRIANGLES-EXERCISE
  1. In a ||gm ABCD, if P and Q are mid-points of AB and CD respectively an...

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  2. The median of a triangle divides it into two

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  3. The mid-point of the sides of a triangle along with any of the vertice...

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  4. Two parallelograms are on equal bases andbetween the same parallels. T...

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  5. ABCD is a quadrilateral whose diagonal AC divides it into two parts, e...

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  6. If a triangle and a parallelogram are on the same base and between sam...

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  7. triangleABC~ trianglePQR. If ar(ABC) = 2.25 m^2. ar(PQR) = 6.25m^2,PQ ...

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  8. If triangleABC~triangleDEF, BC = 4 cm, EF = 5 cm and ar(triangleABC) =...

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  9. The area of two similar triangles ABC and PQR are 25 cm^2, 49cm^2. If ...

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  10. What is the area of an equilateral triangle whose sides is 'a'?

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  11. Tick the correct answer and justify : Sides of two similar triangles a...

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  12. In the figure, find the area of ||gm.

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  13. Two parallelograms are on equal bases andbetween the same parallels. T...

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  14. In figure. D and E are the mid-points o sides. AB, AC respectively ...

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  15. ABCD is a trapezium in which AB||DC, DC = 30 cm and AB = 50 cm. If X a...

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  16. AP||BQ||CR. Prove that ar(AQC) = ar(PBR)

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  17. ABCD is parallelogram. X and Y are the mid-points of BC and CD respect...

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  18. If the medians of a triangleABC intersect at G, show that ar(AGB) = ar...

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  19. PQRS is a ||gm. L is any point on PS and M is any point on QR. Show th...

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  20. PQRS is a ||gm. L is any point on PS and M is any point on QR. Show th...

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