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Find the lengths of the major and minor axis and the eccentricity of the ellipse `((3x-4y+2)^2)/(16)+((4x+3y-5)^2)/9=1`

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If C is the center of the ellipse 9x^2+16 y^2=144 and S is a focus,...

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

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

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

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

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

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

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  8. Find the points on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 such that the...

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  9. An ellipse slides between two perpendicular straight lines. Then id...

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  10. Find the locus of the foot of the perpendicular drawn from the cent...

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  11. Find the maximum area of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 which ...

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  12. A tangent is drawn to the ellipse (x^2)/(27)+y^2=1 at (3sqrt(3)costhe...

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  13. Consider an ellipse (x^2)/4+y^2=alpha(alpha is parameter >0) and a ...

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  14. Find the angle between the pair of tangents from the point (1,2) to...

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  15. If the chord joining points P(alpha) and Q(beta) on the ellipse ((x^...

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  16. If alpha and beta are the eccentric angles of the extremities of a f...

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  17. If the area of the ellipse ((x^2)/(a^2))+((y^2)/(b^2))=1 is 4pi , then...

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  18. The center of an ellipse is C and P N is any ordinate. Point A ,A ' ar...

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  19. The ratio of the area of triangle inscribed in ellipse x^2/a^2+y^2/b^...

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  20. If PSQ is a focal chord of the ellipse 16x^2+25y^2=400 such that SP=8,...

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