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The equation of the circle having its ce...

The equation of the circle having its centre on the line x +2y - 3 = 0 and passing through the points of intersection of the circles `x^2 + y^2 - 2x - 4y +1 = 0` and `x^2+y^2 -4x -2y +4=0` is :

A

`x^(2)+y^(2)+2 x-4 y+4-0`

B

`x^(2)+y^(2)-2 x-2 y+1=0`

C

`x^(2)+y^(2)-6 x+7=0`

D

`x^(2)+y^(2)-3 x+4=0`

Text Solution

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The correct Answer is:
C
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HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. Observe the following statements I. The circle x^(2)+y^(2)-6 x-4 y-7=...

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  2. The number of common tangents to the circles x^(2) + y^(2) = 4 and x^(...

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  3. The equation of the circle having its centre on the line x +2y - 3 = 0...

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  4. The circleS x^(2)+y^(2)+2 a x+c^2=0 and x^(2)+y^(2)+2 b y+c^2=0 touch...

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  5. To which of the following circleS, the line y-x+3=0 is a normal at (3...

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  6. The equation of the circle which touches both the axes and the line 4...

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  7. circle is drawn through the point (2,0) to cut intercept of length 5 u...

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  8. The length of the chord of the circle (x-3)^(2)+(y-5)^(2)=80 cut-off ...

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  9. The tangent to the circle x^2 + y^2 = 9, which is parallel to y-axis a...

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  10. If one end of diameter of the circle 2x^2+2y^2-4x-8y+2=0 is (3,2) , th...

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  11. The tangtnts to the circle x^(2)+y^(2)=169 at the point (5,12) and (1...

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  12. The number of tangtnts from (1,2) to the circle x^(2)+y^(2)-2 x-4 y+4...

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  13. The equation of a circle which touches the y -axis and has its centre...

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  14. The circle passes through the point (1,2) and cuts the circle x^(2)+...

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  15. The two circles x^2+y^2-2x-3=0 and x^2+y^2-4x-6y-8=0 are such that :

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  16. The centre of a circle is (3,-1) and it makes an intercept of 6 units...

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  17. If 3 x+y=0 is a tangtnt to the circle which has its centre at the poi...

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  18. The equation of the smalltst circle passing through the points (2,2) ...

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  19. The point (5,-7) lines outside the circle

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  20. If the circles x^(2)+y^(2)=9andx^(2)+y^(2)+2alphax+2y+1=0 touch each o...

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