Assertion :The points $A \equiv (3, 4)$ , $B \equiv (2, 7)$ , $C \equiv (4, 4)$ and $D \equiv (3, 5)$ are such that one of them lies inside the triangle formed by the other points. Reason: Centroid of a triangle lies inside the triangle.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Both Assertion and Reason are incorrect

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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
$\frac{3 + 2 + 4}{3} = 3$ and $\frac{4 + 7 + 4}{3} = 5$
So D is the centroid of the triangle ABC, using reason which is correct we find assertion is also correct.

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Assertion :The points A≡(3,4), B≡(2,7), C≡(4,4) and D≡(3,5) are such that one of them lies inside the triangle formed by the other points. Reason: Centroid of a triangle lies inside the triangle.

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion3+2+43=3 and 4+7+43=5So D is the centroid of the triangle ABC, using reason which is correct we find assertion is also correct.

Assertion :The points $A \equiv (3, 4)$ , $B \equiv (2, 7)$ , $C \equiv (4, 4)$ and $D \equiv (3, 5)$ are such that one of them lies inside the triangle formed by the other points. Reason: Centroid of a triangle lies inside the triangle.

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
$\frac{3 + 2 + 4}{3} = 3$ and $\frac{4 + 7 + 4}{3} = 5$
So D is the centroid of the triangle ABC, using reason which is correct we find assertion is also correct.