Question

Origin is the centre of circle passing through the vertices of an equilateral triangle whose median is of length 3a then equation of the circle is​

Answer 1

$\Large\mathtt\green{ }\huge\underline\mathtt\red{Answer : }$

Equation of a circle passing through the origin is x2+y2=a2

If the centroid of the triangle with the centre of the circle, then the radius of the circle is 32 of the length of the medion.

∴r=32×3a

⟶r2=4a2

∴x2+y2=4a2 

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Answer 2

Answer:

Correct option isDx 2 +y 2 +4a 2

Equation of a circle passing through the origin is

x 2 +y 2 =a 2

If the centroid of the triangle with the centre of the circle, then the radius of the circle is 32

of the length of the medion.

∴r= 32 ×3a⟶r 2 =4a 2

∴x 2 +y 2 =4a 2

Step-by-step explanation:

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