This question consists of two statements,namely,Assertion (A) and Reason (R).For selecting the correct answer,use the following code:

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

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

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

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

The correct answer is :(a) /(b) /(c) /(d).

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Solution

ANSWER:
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
In trapezium ABCD, ∆ ABC and ∆ ABD are on the same base and between the same parallel lines.
∴ ar(∆ ABC) = ar(∆ ABD)
⇒ ar(∆ ABC) - ar(∆ AOB) = ar(∆ ABD) - ar(∆ AOB)
⇒ a r( ∆ BOC ) = ar( ∆ AOD )
∴ Assertion (A) is true and, clearly, reason (R) gives (A).

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Assertion-and-Reason Type MCQ

Each question consists of two statements, namely, Assertion (A) and Reason (R). For selecting the correct answer, use the following code:

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