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The circle (x-a)^2+(y-a)^2=a^2 is rolled...

The circle `(x-a)^2+(y-a)^2=a^2` is rolled on the y-axis in the positive direction through one complete revolution. Find the equation of the circle in its new-position.

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To find the equation of the circle after it has rolled on the y-axis through one complete revolution, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Original Circle's Equation:** The original equation of the circle is given by: \[ (x - a)^2 + (y - a)^2 = a^2 ...
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RD SHARMA-THE CIRCLE-Solved Examples And Exercises
  1. Find the equation of a circle of radius 5 which lies within the circle...

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  2. Find the equation of the circle whose radius is 5a n d which touches t...

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  3. The circle (x-a)^2+(y-a)^2=a^2 is rolled on the y-axis in the positive...

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  4. Find the equation of the image of the circle x^2+y^2+8x-16+64=0 in the...

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  5. A circle of radius 5u n i t s touches the coordinate axes in the firs...

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  6. Find the equation of a circle which passes through the point (2,0) a...

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  7. Find the equation of a circle which touches y-axis at a distance of 4u...

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  8. If the circle x^2+y^2+2ax+8y+16=0 touch x-axis , then the value of ...

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  9. If the abscissae and the ordinates of two point Aa n dB be the roots o...

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

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  11. If 2x^2+lambdax y^+2y^2+(lambda-4)x+6y-5=0, is the equation of a circ...

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  12. If the equation of a circle is lambdax^2+(2lambda-3)y^2-4x+6y-1=0, th...

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  13. 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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  14. Find the equation of the circle which passes through the origin and...

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

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

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

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

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

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  20. 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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