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Find the radical center of the circles `x^2+y^2+4x+6y=19 ,x^2+y^2=9,x^2+y^2-2x-4y=5,`

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Find the centre and the radius of the circle. 2x^2+2y^2-4x+8y-4=0

Find the length of the common chord of the circles x^2+y^2+2x+6y=0 and x^2+y^2-4x-2y-6=0

Find the parametric equation of the circle x^(2) + y^(2) + 4x - 8y - 5 = 0 .

Find the angle of intersection of the curve x^2+y^2-4x-1=0 and x^2+y^2-2y-9=0 .

Prove that the radii of circles x^2 + y^2 = 1, x^2 + y^2 - 2x -6y = 6 and x^2 + y^2 - 4x - 12y = 9 are in A.p.

Find the equation of the circle which cuts the three circles x^2+y^2-3x-6y+14=0,x^2+y^2-x-4y+8=0, and x^2+y^2+2x-6y+9=0 orthogonally.

The equation of the circle passing through the point of intersection of the circles x^2+y^2-4x-2y=8 and x^2+y^2-2x-4y=8 and the point (-1,4) is (a) x^2+y^2+4x+4y-8=0 (b) x^2+y^2-3x+4y+8=0 (c) x^2+y^2+x+y=0 (d) x^2+y^2-3x-3y-8=0

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Centre of the circle whose radius is 3 and which touches internally th...

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  2. The number of common tangents that can be drawn to the circles x^2+y^2...

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  3. Find the radical center of the circles x^2+y^2+4x+6y=19 ,x^2+y^2=9,x^2...

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  4. Two circles C1 and C2 intersect in such a way that their common chord ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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