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Look at the statement given below: I. ...

Look at the statement given below:
I. A parellelogram and a rectangle on the same base and between the same parallels are equal in area.
II. In a ||gm ABCD, it is given that AB = 10 cm. The altitudes DE and AB and BF on AD being 6 cm and 8 cm respectively, then AD = 7.5 cm.
III. Area of a ||gm `=(1)/(2)xx "base" xx "altitude."`
Which is true?

A

I only

B

II only

C

I and II

D

II and III

Text Solution

Verified by Experts

The correct Answer is:
C

Clearly I is true.
`ABxxDE =(10xx6)and(ADxxBF)=(7.5xx8)=60`
`therefore` II is true.
But, III is clear false,as we know that
area of a ||gm = base `xx` altitude.
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RS AGGARWAL-AREAS OF PARALLELOGRAMS AND TRIANGLES -MULTIPLE-CHOICE QUESTIONS (MCQ)
  1. The lengths of the diagonals of a rhombus are 12 cm and 16 cm. Find th...

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  2. Two parallelogram sides of a trapezium are 12 cm and 8 cm long and the...

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  3. In the given figure, ABCD is a trapezium such that AL bot DC and BM bo...

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  4. In a quadrilateral ABCD, it is given that BD = 16 cm. If AL bot BD and...

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  5. ABCD is a rhombus in which angleC= 60^(@)then AC:BD=.

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  6. In the given figure, ABCD and ABEF are parallelograms such that ar(qua...

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  7. triangleABC and triangleBDE are two equilateral triangles such that D ...

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  8. In a ||^(gm) ABCD, if P and Q are midpoints of AB and CD respectively ...

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  9. The figure formed by joining the midpoints of the adjacent sides of a ...

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  10. In triangleABC, if D is the midpoint of BC and E is the midpoint of AD...

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  11. The vertex A of triangle ABC is joined to a point D on BC. IF E is the...

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  12. In triangleABC, it is given that D is the midpoint of BC, E is the mid...

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

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  14. In the given figure, ABCD is a trapezium in which AB||DC such that AB ...

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  15. ABCD is a quadrilateral whose diagonals AC divides it into two parts, ...

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  16. In the given figure, a ||gm ABCD and a rectangle ABEF are of equal ar...

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  17. In the given figure, ABCD is a rectangle inscribed in a quadrant of a...

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  18. Which of the following is a false statement?

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  19. Which of the following is a false statement?

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  20. Look at the statement given below: I. A parellelogram and a rectangl...

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