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Equation of the ellipse whose focus is (...

Equation of the ellipse whose focus is `(6,7)` directrix is `x + y + 2 = 0 and e = 1/ sqrt3` is-

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Equation of the ellipse whose focus is (6,7) directrix is x+y+2=0 and e=(1)/(sqrt(3)) is-

Find the equation of the ellipse whose : One focus is (6, 7) , directrix is x + y + 2 and eccentricity is 1/sqrt(3)

The equation of the ellipse whose focus is (1,0) and the directrix is x+ y+1=0 and eccentricity is equal to 1//sqrt(2) is

Find the equation of the ellipse whose focus is (1,0), the directrix is x+y+1=0 and eccentricity is equal to (1)/(sqrt(2))

The equation of the ellipse whose focus is (1, -1) , directrix is the line x-y-3=0 and eccentricity is 1/2 , is: (A) 7x^2 + 2xy + 7y^2 + 7 = 0 (B) 7x^2 + 2xy+7y^2 + 10x - 10y - 7 = 0 (C) 7x^2 + 2xy + 7y^2 - 10x + 10y + 7 = 0 (D) none of these

Find the equation of the ellipse in the following case: focus is (0,1) directrix is x+y=0 and e=(1)/(2)

The equation of the ellipse whose focus is (1,-1), directrix x-y-3=0 and eccentricity equals (1)/(2) is :

A DAS GUPTA-Ellipse and Hyberbola-EXERCISE
  1. The equation x^2-3xy+y^2+10x-10y+21=0represents a having its centre at...

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  2. The eccentricity of a rectangular hyperbola, is

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  3. Equation of the ellipse whose focus is (6,7) directrix is x + y + 2 = ...

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  4. The latus rectum of an ellipse is 10 and the minor axis Is equal to th...

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  5. Find the equation of an ellipse hose axes lie along the coordinate ...

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  6. if in a hyperbola the eccentricity is sqrt3 and the distance between t...

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  7. Show that the equation x^2-2y^2-2x+8y-1=0 represents a hyperbola. Find...

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  8. Find the equations of normal to the parabola y^2=4a x at the ends of t...

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  9. Let P be a variable point on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 wit...

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  10. The number of maximum normals that can be drawn from any point to an e...

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  11. If a tangent to the ellipse x^2/a^2+y^2/b^2=1, whose centre is C, me...

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

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  13. If the line lx+my+n=0 touches the hyperbola (x^(2))/(a^(2))-(y^(2))/(b...

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  14. Show that 3x^(2) - 3y^(2) - 18x + 12y + 2 = 0 represents a rectangular...

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  15. The point P on the ellipse 4x^2+9y^2=36 is such that the are of the P...

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  16. If the tangent and normal to a rectangular hyperbola cut off intercept...

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  17. The equation 14x^2 - 4xy+ 11y^2 - 44x - 58y + 71 = 0 represents

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  18. If e is eccentricity of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(...

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  19. Find the eccentric angle of a point on the ellipse x^2 + 3y^2 = 6 at a...

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  20. Which of the following is an exterior point of the ellipse 16x^2+9y^2-...

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