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Prove that the maximum number of points ...

Prove that the maximum number of points with rational coordinates on a circle whose center is `(sqrt(3),0)` is two.

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
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  2. The sum of the slopes of the lines tangent to both the circles x^2+y^2...

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  3. Prove that the maximum number of points with rational coordinates on a...

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  4. Let C1 and C2 are circles defined by x^2+y^2 -20x+64=0 and x^2+y^2+...

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  5. Prove that for all values of theta , the locus of the point of interse...

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  6. The chord of contact of tangents from a point P to a circle passes thr...

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  7. Find the length of the chord x^2+y^2-4y=0 along the line x+y=1. Also f...

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  8. The chords of contact of tangents from three points A ,Ba n dC to the ...

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  9. Tangents are drawn to the circle x^2+y^2=a^2 from two points on the ax...

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  10. The common chord of the circle x^2+y^2+6x+8y-7=0 and a circle passing ...

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  11. P is the variable point on the circle with center at C. C A and C B ar...

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  12. If the angle between the tangents drawn to x^2+y^2+2gx+2fy+c=0 from (0...

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  13. Find the locus of center of circle of radius 2 units, if intercept cut...

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  14. Any circle through the point of intersection of the lines x+sqrt(3)y=1...

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  15. A straight line moves so that the product of the length of the perp...

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  16. The number of such points (a+1,sqrt3a), where a is any integer, lying...

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  17. A tangent is drawn to each of the circles x^2+y^2=a^2 and x^2+y^2=b^2d...

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  19. Find the locus of the midpoint of the chord of the circle x^2+y^2-2x-2...

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