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If the centroid of an equilateral triang...

If the centroid of an equilateral triangle is (1,1) and one of its vertices is (-1,2) then, equation of its circum circle is

A

`x^(2)+y^(2)-2x-2y-3=0`

B

`x^(2)+y^(2)+2x-2y-3=0`

C

`x^(2)+y^(2)-4x-6y+9=0`

D

`x^(2)+y^(2)+x-y+5=0`

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-CIRCLES-EXERCISE -I
  1. The circle concentric with x^(2)+y^(2)+4x+6y+3=0 and radius 2 is

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  2. Equation of circle passing through (-1,-2) and concentric with the cir...

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  3. If the centroid of an equilateral triangle is (1,1) and one of its ver...

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  4. For the circle ax^(2)+y^(2)+bx+dy+2=0 centre is (1,2) then 2b+3d=

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  5. The area of the circle x^(2)+y^(2)-4x-2y+k=0 is 25pi square units then...

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  6. If (1,2) (2,a) are extremities of a diameter of the circle x^(2)+y^(2)...

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  7. The circle through the points (2,3), (2,2), (3,2) is

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  8. The equation of the circle passing through (2, 0) and (0, 4) and havin...

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  9. If the points (0,0),(2,0),(0,-2) and (k,-2) are concylic then k=

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  10. If x - y + 1 = 0 meets the circle x^(2) + y^(2) + y - 1 = 0 at A a...

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  11. If the lines x-2y+3=0, 3x+ky+7=0 cut the coordinate axes in concylic p...

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  12. If a circle is inscribed in a square of side 10, so that the circle t...

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  13. The power of (1,1) with respect to the circle x^(2)+y^(2)-4x+3y+k=0 i...

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  14. The equation of the circle with centre (3,2) and the power of (1,-2) w...

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  15. If a line is drawn through a point A(3,4) to cut the circle x^(2)+y^(2...

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  16. A chord through P cut the circle x^(2)+y^(2)+2gx+2fy+c=0 in A and B an...

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  17. A chord of length 24 units is a distance of 5 units from the centre of...

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  18. The equation of a circle with centre (4,1) and having 3x+4y-1=0 as tan...

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  19. The intercept made by the circle x^(2)+y^(2)-4x-6y-3=0 on the line x+y...

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  20. The length of the tangent from (1,1) to the circle 2x^(2)+2y^(2)+5x+3y...

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