Assertion :If A(2a, 4a) and B(2a, 6a) are two vertices of a equilateral triangle ABC then the vertex C is given by (2a+a√3,5a). Reason: In equilateral triangle all the coordinates of three vertices can be rational.
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
Assertion is incorrect but Reason is correct
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Solution
The correct option is C Assertion is correct but Reason is incorrect Assertion:-
If A(2a,4a),B(2a,6a) and C(2a+a√3,5a) are the vertics of an equilateral triangle,then