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Find the sum of the focal distances of any point on the ellipse `9x^2+16 y^2=144.`

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Find the sum of the focal distance of any point on the ellipse 9x^(2) +25y^(2) = 225 .

The sum of the focal distances of any point on the ellipse 4x^(2) + 25y = 100 is_

Find the eccentricity and the equation of directix of the ellipse x^2/100+y^2/36=1 Show that the sum of the focal distances at any point on the ellipse x^2/100+y^2/36=1 is constant.

Find the eccentricity and equations of the directrices of the ellipse (x^(2))/(100) + (y^(2))/ (36) = 1 . Show that the sum of the focal distances of any point on this ellipse is constant .

The sum of the focal distances of any point on the conic 16x^(2) + 25 y ^(2)=400 is-

Show that the difference of the focal distances of any point on the hyperbola 9x^(2) - 16y^(2) = 144 is equal to its transverse axis.

Show that the difference of the focal distances of any point on the hyperbola 9x^2-4y^2 = 36 is equal to its transverse axis.

Find the equations of the tangents drawn from the point (2, 3) to the ellipse 9x^2+16 y^2=144.

Show that the difference of focal distances of any point of the hyperbola 3x^(2) - 4y^(2) = 48 is constant.

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Let P be a point on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 of ecc...

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

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

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

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

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

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  7. If x/a+y/b=sqrt2 touches the ellipses x^2/a^2+y^2/b^2=1, then find 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. Tangent is drawn to ellipse (x^2)/(27)+y^2=1 at (3sqrt(3)costheta,sint...

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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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