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The centroid of an equilateral triangle ...

The centroid of an equilateral triangle is (0, 0) and the length of the altitude is 6. The equation of the circumcirele of the triangle is

A

`x^(2)+y^(2)=6`

B

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

C

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

D

`x^(2)+y^(2)=36`

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1A(Circle)
  1. If x^(2)+y^(2)+2gx+2fy+9=0 represents a circle with centre (1,-3) then...

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  2. The point (-1,0) lies on the circle x^2+y^2-4x+ 8y + k=0. The radius o...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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