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Consider four circles (x+-1)^2+(y+-1)^2=...

Consider four circles `(x+-1)^2+(y+-1)^2=1` . Find the equation of the smaller circle touching these four circles.

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Two circles C1 and C2 intersect in such a way that their common chord ...

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  2. The equation of a circle is x^2+y^2=4. Find the center of the smallest...

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  3. Consider four circles (x+-1)^2+(y+-1)^2=1 . Find the equation of the s...

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

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  5. If the circles of same radius a and centers at (2, 3) and (5, 6) cut o...

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  6. If the two circles 2x^2+2y^2-3x+6y+k=0 and x^2+y^2-4x+10 y+16=0 cut or...

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  7. Find the condition that the circle (x-3)^2+(y-4)^2=r^2 lies entirely w...

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  8. Find the locus of the center of the circle which cuts off intercepts o...

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  9. Find the equation of the circle with center at (3,-1) and which cuts o...

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

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  11. Find the equation of the circle which touches the x-axis and whose ...

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  12. Find the equations of the circles which pass through the origin and cu...

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  13. Find the radius of the circle (x-5)(x-1)+(y-7)(y-4)=0 .

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  14. Find the equation of the circle which passes through the points (3,-2)...

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  15. Prove that the locus of the centroid of the triangle whose vertices ar...

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  16. If one end of the diameter of the circle 2x^2+2y^2-4x-8y+2=0 is (3,2),...

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  17. If a circle whose center is (1,-3) touches the line 3x-4y-5=0 , then f...

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  18. Prove that the locus of the point that moves such that the sum of the ...

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

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  20. Let C1 and C2 be two circles whose equations are x^2+y^2-2x=0 and x^2+...

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