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Find the equation of the circle which pa...

Find the equation of the circle which passes through the origin and cut off equal chords of `sqrt(2)` units from the lines `y=xa n dy=-xdot`

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`x^2+y^2+2gx+2fy+c=0-(1)`
`C=0`
`y=x`
`x^2+x^2+2gx+2fx=0`
`2x^2+2gx+2fx=0`
`2x(x+g+f)=0`
`x=0`
`x+g+f=0`
...
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RD SHARMA-THE CIRCLE-Solved Examples And Exercises
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  2. If the line l x+m y+n=0 touches the circle x^2+y^2=a^2 , then prove th...

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  3. Find the equation of the circle which passes through the origin and...

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  4. Prove that the locus of a point which moves such that the sum of th...

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  5. Find the equation of the circle on the straight line joining the poi...

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  6. If a circle of constant radius 3c passes through the origin and meets ...

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  7. Find the equation to the circle which passes through the points (1,...

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  8. Find the equation of the circle, the coordinates of the end points ...

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  9. If the circles x^2+y^2+2a x+c=0a n dx^2+y^2+2b y+c=0 touch each other,...

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  10. Find the equation of the circle which passes through the points (1,-2)...

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  11. The equation of the circle which touches the axes of coordinates an...

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  12. Find the equation of the circle which passes through the points (2,...

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  13. The number of integral values of lambda for which the equation x^2+y^2...

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  14. Find the equation of the circle which touches the lines 4x-3y+10=0a...

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  15. If the line y=sqrt(3)x+k touches the circle x^2+y^2=16 , then find t...

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  16. Find the equation of the circle having (1,-2) as its centre and passi...

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  17. Find the locus of the centre of the circle touching the line x+2y=0 ...

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  18. Let C be any circle with centre (0,sqrt(2))dot Prove that at most two ...

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  19. Find the equation of the circle which touches the x-axis and passes t...

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  20. Find the equation of the circle which passes through the origin and ...

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