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Assertion (A) : In the given figlure, AB...

Assertion (A) : In the given figlure, ABCD is a ||gm in which `DEbotAD and BF bot AD`. If AB = 16 cm, DE = 8 cm and BF = 10 cm then what is the length of AD?.

A

Both Assertion (A) and Reason (R ) are true and Reason (R ) is a correct explansion of Assertion (A).

B

Both Assertion (A) and Reason (R ) are true but Reason (R ) is not a correct explansion of Assertion (A).

C

Assertion (A) is true and Reason (R ) is false.

D

Assertion (A) is false and Reason (R ) is true.

Text Solution

Verified by Experts

The correct Answer is:
D
Reason (R ) is clearly true.
Area of ||gm `=Abxx DE =AD xx BF`.
Let AD = x cm. Then,
`16xx8=xx x xx10rArrx=(16xx8)/(10)=12.8 cm.`
But, AD is 12 cm.
`therefore` Assertion (A) is false.
Thus, Assertion (A) is false and Reason (R ) is true.
So, the correct answer is (d).
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