The equation of a circle with the origin as the centre and passing through the vertices of an equilateral triangle whose altitude is of length 3 units is

Question

The equation of a circle with the origin as the centre and passing through the vertices of an equilateral triangle whose altitude is of length 3 units is, x 2 + y 2 = 9, x 2 + y 2 = 16, x 2 + y 2 = 4, x 2 + y 2 = 1

MARKS App · Accepted Answer

Circle circumscribes the triangle A B C and has center at 0 , 0 . A D = 3 ∴ O A = 2 3 × 3 = 2 ∴ radius of circle, O A = 2 Thus, equation of circle is x 2 + y 2 = 4

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