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Find the centre and radius of each of the following circle: `x^2+y^2-4x+6y=5`

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To find the center and radius of the circle given by the equation \(x^2 + y^2 - 4x + 6y = 5\), we will rewrite the equation in the standard form of a circle. ### Step-by-Step Solution: 1. **Start with the given equation:** \[ x^2 + y^2 - 4x + 6y = 5 \] ...
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RD SHARMA-THE CIRCLE-Solved Examples And Exercises
  1. Find the centre and radius of each of the following circle: (x-1)^2+y^...

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  2. Find the centre and radius of each of the following circle: (x+5)^2+(y...

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  3. Find the centre and radius of each of the following circle: x^2+y^2-4x...

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  4. Find the centre and radius of each of the following circle: x^2+y^2-x+...

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  5. Find the equation of the circle whose centre is (1,2) and which passes...

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  6. Find the equation of the circle passing through the point of inters...

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  7. Find the equation of the circle whose centre lies on the positive d...

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  8. Find the equation of a circle: 1)Which touches both the axes at a di...

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  9. If the equations of two diameters of a circles are 2x+y=6\ a n d\ 3x...

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  10. Find the equation of the circle which has its centre at the point (...

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  11. Find the equation of the circle which touches the coordinate axes and ...

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  12. A circle whose centre is the point of intersection of the lines 2x-3y+...

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  13. A circle of radius 4 units touches the coordinate axes in the first ...

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  14. Find the equations of the circles touching y-axis at (0,3) and making ...

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  15. Find the equations of the circles passing through two points on y-axis...

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  16. If the lines 3x-4y-7 = 0 and 2x-3y-5=0 are two diameters of a circle o...

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  17. The circle x^2+y^2-2x-2y+1=0 is rolled along the positive direction of...

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  18. One of the diameters of the circle circumscribing the rectangle ABCD i...

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  19. Find the equation of the circle which passes through the points (5,-8)...

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  20. Find the area of equilateral triangle inscribed in a circle x^2+y^2+2g...

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