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Question

Assertion :If the centroid of an equilateral triangle is (2,2) and its one vertex is (−3,4), then the equation of its circumcircle is x2+y2−4x−4y−21=0 Reason: Circumcircle coincides with the centroid of an equilateral triangle.

A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
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B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
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C
Assertion is correct but Reason is incorrect
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D
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
Since the circumcentre coincides with the centroid of an equilatersal triangle,
Circumcenter is (2,2).
Radius =(2+3)2+(24)2=29
The equation of the circumcircle is
(x2)2+(y2)2=29x2+y24x4y21=0.

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