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If a triangle and a parallelogram are on the same base and between same parallels, then the ratio of the area of the triangle to the area of parallelogram is

A

`1 : 3`

B

`2 : 1`

C

`3 :1`

D

`1 : 4`

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The correct Answer is:
B
We know that, if a parallelogram and a triangle are on the same base and between the same parallels, then area of the triangle is half the area of the parallelogram.
i.e., Area of triangle `= (1)/(2)` Area of parallelogram
`rArr" "` `("Area of triangle")/("Area of parallelogram") = (1)/(2)`
`therefore" "` `"Area of triangle " : " Area of parallelogram " = 1 : 2`
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NCERT EXEMPLAR-Areas of Parallelograms and Triangles-Areas Of Parallelograms And Triangles
  1. Two parallelograms are on equal bases and between the same parallels. ...

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  2. ABCD is a quadrilateral whose diagnonal AC divides it into two parts, ...

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

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  4. In a trapezium ABCD, AB || DC, AB = a cm, and DC = b cm. If M and N ar...

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  5. ABCD is a parallelogram and X is the mid-point of AB. (AXCD)= 24 cm^(2...

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  6. PQRS is a rectangle inscribed in a quadrant of a circle of radius 13 c...

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  7. PQRS is a parallelogram whose area is 180 cm^(2) and A is any point on...

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  8. ABC and BDE are two equilateral triangles such that D is the mid-point...

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  9. In the figure, ABCD and EFGD are two parallelograms and G is the mid-p...

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  10. In the figure, PSDA is a parallelogram. Points Q and R are taken on PS...

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  11. X and Y are points on the side LN of the triangle LMN such that LX = X...

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  12. The area of the parallelogram ABCD is 90 CM^(2). Find (i) ar (ABEF) ...

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  13. In Delta ABC, D is the mid-point of AB and P is any point on BC. If CQ...

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  14. ABCD is a square. E and F are respectively the mid-points of BC and CD...

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  15. O is any point on the diagonal PR of a parallelogram PQRS (figure). Pr...

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  16. ABCD is a parallelogram in which BC is produced to E such that CE = BC...

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  17. In trapezium ABCD, AB || DC and L is the mid-point of BC. Through L, a...

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  18. If the mid-points of the sides of a quadrilateral are joined in order,...

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  19. A point E is taken on the side BC of a parallelogram ABCD. AE and DC a...

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  20. The diagonals of a parallelogram ABCD intersect at a point O. Through ...

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