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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=0a n dx^2+y^2-4x-2y+4=0` is `x^2+y^2-6x+7=0` `x^2+y^2-3y+4=0` c.`x^2+y^2-2x-2y+1=0` `x^2+y^2+2x-4y+4=0`

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
A
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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

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OBJECTIVE RD SHARMA-CIRCLES-Exercise
  1. Find the locus of the midpoint of the chord of the circle x^2+y^2-2x-2...

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  2. The two circles x^(2)+y^(2)-2x-3=0 and x^(2)+y^(2)-4x-6y-8=0 are such ...

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

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  4. The equation of the circumcircle of the triangle formed by the lines y...

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

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  6. To which of the circles, the line y-x+3=0 is normal at the point (3+3s...

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  7. Circles are drawn through the point (2, 0) to cut intercept of length ...

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  8. Find the equation of the circle which touches both the axes and the ...

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  9. The slope of the tangent at the point (h, h) of the circle x^(2)+y^(2...

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  10. The two circles x^2+ y^2=r^2 and x^2+y^2-10x +16=0 intersect at two d...

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  11. Locus of thews of the centre of the circle which touches x^2+y^2 - 6x-...

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  12. If a circle passes through the point (a, b) and cuts the circlex x^2+y...

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  13. The locus of the mid-point of the chords of the circle x^2+y^2=4 wh...

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  14. Two circle x^2+y^2=6 and x^2+y^2-6x+8=0 are given. Then the equation o...

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  15. The equation of the circle described on the common chord of the circle...

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  16. Origin is a limiting point of a coaxial system of which x^(2)+y^(2)-6x...

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  17. A circle passes through the origin and has its center on y=x If it cut...

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  18. The number of common tangents to the circles x^2+y^2-x = 0 and x^2 + ...

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  19. Consider the circles x^2+(y-1)^2=9,(x-1)^2+y^2=25. They are such that ...

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  20. A circle touches the x-axis and also touches the circle with center (...

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