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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)-3y+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

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=0andx^(2)+y^(2)-4x-2y+4=0 is x^(2)+y^(2)-6x+7=0x^(2)+y^(2)-3y+4=0 c.x^(2)+y^(2)-2x-2y+1=0x^(2)+y^(2)+2x-4y+4=0

The equation of the circle having the center on the line x+2y-3=0 and passing through the point intersection of the circles x^(2)+y^(2)-2x-4y+1=0andx^(2)+y^(2)-4x-2y+4=0 is x^(2)+y^(2)-6x+7=0x^(2)+y^(2)-3u-2y+4=0x^(2)+y^(2)-2x-2y+1=0x^(2)+y^(2)+2x-2y+4=0

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ML KHANNA-THE CIRCLE -Problem Set (3) (MULTIPLE CHOICE QUESTIONS)
  1. Two circles x^(2)+y^(2)=6 and x^(2)+y^(2)- 6x+8=0 are given. Then the...

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  2. The equation of the circle passing through the intersection of the cir...

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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. Equation of the circle touching the circle x^(2) + y^(2) - 15x + 5y = ...

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  5. The equation of the circle which passes through the origin and the poi...

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  6. The circle passing through the intersection of circle x^(2)+y^(2) -3x-...

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  7. If the two curves ax^(2) +2hxy +by^(2) +2g x+2fy +c=0 and d x^(2) +2...

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  8. One of the limit point of the coaxial system of circles containing x^...

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  9. The four point of intersection of the lines ( 2x -y +1) ( x- 2y +3) =...

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  10. If the lines a(1)x+b(1)y+c(1)=0 and a(2)x+b(2)y+c(2)=0 cut the co-ordi...

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  11. If (x/a)+(y/b)=1 and (x/c)+(y/d)=1 intersect the axes at four concylic...

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  12. If alpha, beta, gamma,delta be four angles of a cyclic quadrilateral t...

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  13. P, Q, R and S are the points of intersection with the co-ordinate axes...

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  14. If the equation of a given circle is x^2+y^2=36 , then the length of t...

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  15. The two lines through (2,3) from which the circle x^(2)+y^(2)=25 inter...

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  16. The common chord of x^(2)+y^(2)-4x-4y=0 and x^(2)+y^(2)=16 subtends at...

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  17. The length of the common chord of the circles (x-a)^(2)+(y-b)^(2)=c^(2...

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  18. Let L(1) be a straight line passing through the origin and L(2) be th...

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  19. Length of common chord of the circles x^(2)+y^(2)+ax +by+c=0 and x^(2...

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  20. The distance of the point (1, 2) from the common chord of the circles ...

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