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Show that the equation of the circle wit...

Show that the equation of the circle with centre at origin and passing through the vertices of an equilateral triangle whose median is of length 3a is `x^(2)+y^(2)=4a^(2)`.

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The correct Answer is:
`4a^(2)`
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AAKASH SERIES-CIRCLES-ADDITIONAL SOLVED EXAMPLES
  1. Find the equation of the circle which passses through (2,0) and whose ...

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  2. Show that the lines 5x+3y-9=0,2x+y=0,x+3y=0 and x+4y+2=0 taken in orde...

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  3. Find the point of intersection of the circle x^(2)+y^(2)+4x+6y-39=0 an...

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  4. Find the area of the triangle formed by positive y-axis the normal and...

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  5. A square is inscribed in the circle x^(2)+y^(2)+2x+4y3=0. Its sides ar...

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  6. Show that the equation of the circle with centre at origin and passing...

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  7. If (m(i),1/(m(i))),m(i)gt0,i=1,2,3,4 are four distinct points on a cir...

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  8. A circle is incribed in an equilateral triangle of side a. Show that t...

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  9. If a circle C(1),x^(2)+y^(2)=16 intersects another circle C(2) of radi...

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  10. Consider a family of cirlces which are passing through the point (-1,1...

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  11. If PQ, PR are tangents from a point P(x(1),y(1)) to the circle x^(2)+y...

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  12. Show that the lines 3x-y+3=0 and x-3y-6=0 cut the coordinate axes at c...

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  13. A,B are conjugate points w.r.t circle having centre O radius r then OA...

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  14. If polars of A,B w.r.t to the circle having centre O and radius r inte...

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  15. Each side of DeltaABC is the polar of the opposite vertex with respect...

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  16. Two circles with radii r(1) and r(2), r(1)gtr(2)ge2 touch others exter...

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  17. The number of common tangents to the circles x^(2)+y^(2)-4x-2y+k =0 an...

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  18. Points (1,0) and (2,0) are taken on the axis of x. On the line joining...

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  19. In adjacent figure three circles each of radius 1 inscribed in an equi...

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  20. Find the equation of image circle of the circle x^(2)+y^(2)-2x=0 in th...

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