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The equation of the circle which passes ...

The equation of the circle which passes through the points of intersection of the circles `x^(2)+y^(2)-6x=0` and `x^(2)+y^(2)-6y=0` and has its centre at (3/2, 3/2), is

A

`x ^(2) + y^(2) + 3x + 3y + 9=0`

B

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

C

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

D

`x ^(2) + y^(2) -3x -3y + 9=0`

Text Solution

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The correct Answer is:
C
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TARGET PUBLICATION-CIRCLE AND CONICS -COMPETITIVE THINKING
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  2. Find the equation of a circle of radius 5 which lies within the circle...

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  3. The equation of the circle which passes through the points of intersec...

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  4. The intercept on the line y=x by the circel x ^(2) + y^(2) -2x =0 is ...

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  5. Let the line segment joining the centres of the circles x^(2)-2x+y^(2)...

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  6. If the lengths of the tangents drawn from P to the circles x ^(2) + y ...

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  7. IF the tangent at (1,7) to the curve x ^(2) = y-6 touches the circle ...

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  8. Find the centre of the circle that passes through the point (1,0) and ...

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  9. The number of common tangents to the circles x^(2)+y^(2)-4x-6y-12=0 a...

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  10. The equation of the parabola with the focus (3,0) and directrix x+3=0 ...

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  11. The equation of the parabola with focus (1,-1) and directrix x + y + ...

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  12. A point on the parabola whose focus is S (1,-1) ans whose vertex is A(...

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  13. The focus of the parabola x ^(2) =-16 y is

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  14. Focus and directrix of the parabola x ^(2) =-8ay are

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  15. The focus of the parabola y^(2)-4y -x + 3 =0 is

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  16. The focus of the parabola (y+ 1)^(2) =-8 (x+2) is

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  17. Consider the equation of a parabola y ^(2) + 4ax =0, where a gt 0. Whi...

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  18. The focal chord of the parabola perpendicular to its axis is called as

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  19. If (2,-8) is at an end of a focal chord of the parabola y^2=32 x , the...

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  20. If (x (a), y(1))and (x(2), (y(2)) are the end points of a focal chord...

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