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Origin is the centre of a circle passing...

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

A

`x^(2)+y^(2)=9a^(2)`

B

`x^(2)+y^(2)=16a^(2)`

C

`x^(2)+y^(2)=4a^(2)`

D

`x^(2)+y^(2)=a^(2)`

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1A(Circle)
  1. The point (-1,0) lies on the circle x^2+y^2-4x+ 8y + k=0. The radius o...

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  2. The centroid of an equilateral triangle is (0, 0) and the length of th...

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  3. Origin is the centre of a circle passing through the vertices of an eq...

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  4. The circumcircle of a triangle is given by x^(2)+y^(2)-4x+6y-3=0. The ...

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  5. The centres of the three circles x^(2)+y^(2)-10x+9=0, x^(2)+y^(2)-6x+2...

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  6. For the circle x^(2)+y^(2)-4x-2y-36=0, the point (3, 5)

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  7. For the circle 2x^(2)+2y^(2)-5x-4y-3=0 the point (3, 5)

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  8. The power of the point (1, 2) w.r.t the circle x^2 + y^2-4x-6y - 12 =0...

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  9. The value of a, such that the power of the point (1, 6) with respect t...

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  10. The equation (x^(2)-a^(2))^(2)+(y^(2)-b^(2))^(2)= represent points whi...

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  11. The equation x^(2)+y^(2)+4x+6y+13= 0 represents

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  12. The locus of a point which divides the join of A(-1, 1) and a variable...

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  13. If the two circles x^(2)+y^(2)+2gx+c=0 and x^(2)+y^(2)-2fy-c=0 have eq...

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  14. The locus of the point which moves such that the sum of the squares of...

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  15. The radius of the circle passing through the point (6, 2) and two of w...

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  16. Equation of the circle with radius 10 and whose two diameters are x+y=...

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  17. If the line 3x-2y + 6=0 meets X-axis and Y-axis respectively at A and ...

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  18. Consider the circle x^(2)+y^(2)-4x-2y+c=0 whose centre is A(2, 1) If t...

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  19. If A=(1, 2), B=(4, 5) then the equation of the circle having overset(-...

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  20. The equation of the circle through (1, 0) and (0, 1) and having talles...

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