Assertion: In the given figure, ABCD is a || gm in which DE ⊥ AB and BF ⊥ AD.

Question:

Assertion: In the given figure, ABCD is a || gm in which DE ⊥ AB and BF ⊥ AD. If AB = 16 cm, DE = 8 cm and BF = 10 cm, then AD is 12 cm.

Reason: Area of a || gm = base × height.
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

 

Solution:

(d) Assertion is false and Reason is true.

Clearly, reason (R) is true.
Assertion: Area of a parallelogram = base × height
">AB ×​ DE = AD × BF
">AD = (16 × 8) ÷ 10 = 12.8 cm

So, the assertion is ​false.

 

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