Q. 183.7( 3 Votes )

# Each question consists of two statements, namely, Assertion (A) and Reason (R). Please select the correct answer.

A. Both Assertion (A) and Reason (R) are true but Reason (R) is a 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

Answer :

From the given figure in the question, we have

In ∆ABD, we have:

AB + BD > AD

Similarly, in

AC + CD > AD

Adding both expressions, we get:

AB + AC + BD + CD > AD + AD

AB + AC + BD + DC > 2AD

AB + AC + BC > 2AD

∴ Assertion and reason both are true and reason is the correct explanation of the assertion

Hence, option (A) is correct

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