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Find the center, foci, the length of the...

Find the center, foci, the length of the axes, and the eccentricity of the ellipse `2x^2+3y^2-4x-12 y+13=0`

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. P is a variable on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 with A A ' ...

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  2. Prove that the curve represented by x=3(cost+sint),y=4(cost-sint),t in...

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  3. Find the center, foci, the length of the axes, and the eccentricity...

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  4. If C is the center and A ,B are two points on the conic 4x^2+9y^...

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  5. Find the equation of a chord of the ellipse (x^2)/(25)+(y^2)/(16)=1 jo...

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  6. Prove that the chords of contact of pairs of perpendicular tangents to...

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  7. Tangent are drawn from the point (3, 2) to the ellipse x^2+4y^2=9 ....

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  8. Find the locus of the point of intersection of tangents to the elli...

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  9. Tangents are drawn from the points on the line x−y−5=0 to x^2+4y^2=4, ...

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  10. If from a point P , tangents PQ and PR are drawn to the ellipse (x^2...

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  11. Prove that the chord of contact of the ellipse (x^2)/(a^2)+(y^2)/(b^2)...

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  12. Find the locus of a point P(alpha, beta) moving under the condition th...

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  13. The locus of the point which is such that the chord of contact of ta...

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  14. A point P moves such that the chord of contact of the pair of tangents...

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  15. Find the length of the chord of the ellipse x^2/25+y^2/16=1, whose mid...

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  16. Find the equation of the chord of the hyperbola 25x^(2)-16y^(2)=400 wh...

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  17. The locus of the point which divides the double ordinates of the ell...

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  18. Find the locus of the middle points of chord of an ellipse x^2/a^2 + ...

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  19. Find the point on the hyperbola x^(2)-9y^(2)=9 where the line 5x+12y=9...

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  20. If (5, 12) and (24, 7) are the foci of an ellipse passing through t...

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