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Find the number of rational points on the ellipse `(x^2)/9+(y^2)/4=1.`

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Find the area of the greatest rectangle that can be inscribed in an ...

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  2. The auxiliary circle of a family of ellipses passes through the ori...

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  3. Find the number of rational points on the ellipse (x^2)/9+(y^2)/4=1.

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  4. A line passing through the origin O(0,0) intersects two concentric ...

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  5. If the line l x+m y+n=0 cuts the ellipse ((x^2)/(a^2))+((y^2)/(b^2)...

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  6. Find the area of the greatest isosceles triangle that can be inscri...

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  7. Find the eccentric angles of the extremities of the latus recta of ...

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  8. Find the equation of the ellipse whose axes are of length 6 and 2sq...

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  9. If the equation (5x-1)^2+(5y-2)^2=(lambda^2-2lambda+1)(3x+4y-1)^2 repr...

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  10. Obtain the equation of the ellipse whose focus is the point (-1, 1), a...

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  11. The moon travels an elliptical path with Earth as one focus. The ma...

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  12. If the foci of an ellipse are (0,+-1) and the minor axis of unit lengt...

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  13. Let P be a point on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 of ecc...

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  14. If C is the center of the ellipse 9x^2+16 y^2=144 and S is a focus,...

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  15. Find the sum of the focal distances of any point on the ellipse 9x^...

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  16. Find the lengths of the major and minor axis and the eccentricity of...

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  17. Find the eccentricity, one of the foci, the directrix, and the leng...

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  18. An ellipse passes through the point (4,-1) and touches the line x+4...

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  19. Find the point on the ellipse 16 x^2+11 y^2=256 where the common t...

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  20. If x/a+y/b=sqrt(2) touches the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 , the...

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