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Find the equation of the ellipse whose o...

Find the equation of the ellipse whose one of the foci is (2,0) and the corresponding directrix is x = 8 and eccentricity is `(1)/(2)`.

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PREMIERS PUBLISHERS-TWO DIMENSIONAL ANALYTICAL GEOMETRY - II -PROBLEMS FOR PRACTICE
  1. Find the equation of the ellipse whose one of the foci is (2,0) and th...

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  2. The point of intersection of the tangent at 't(1)' and 't(2)' to the ...

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  3. The latus rectum of the parabola y^(2)-4x+4y+8=0 is:

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  4. The point of contact of the tangent 2x+3y+9=0 to the parabola y^(2)=8x...

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  5. The eccentricity of the ellipse 9x^(2)+5y^(2)-54x-40y+116=0 is:

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  6. The area of the directrix circle of the ellipse (x^(2))/(16)+(y^(2))/(...

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  7. If the length of the latus rectum is half the length of the conjucate ...

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  8. The locus of the point of intersection of perpendicular tangents to th...

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  9. The equation of the tangent to the parabola y^(2)=16x inclined at 60^(...

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  10. The equation of conic with focus (-2,1) and directrix 3x-y+2=0 is:

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  11. The ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 has the points A and B a...

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  12. The point of contact of the line 2x-y+2=0 with the parabola y^(2)=16x ...

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  13. The radius of the director circle of the hyperbola (x^(2))/(25)-(y^(2)...

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  14. If 4x+y+k=0 is a tangent to the ellipse x^(2)+3y^(2)=3 then k = ?

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  15. The tangent to the hyperbola 3x^(2)-y^(2)=3 parallel to 2x-y+4=0 is:

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  16. The eccentricity of the ellipse for which the distance between the dir...

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  17. The radius of the director circle of the hyperbola (x^(2))/(25)-(y^(2)...

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  18. In are ellispe , the distance between its foci is 6 and its minor axi...

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  19. The tangents at the points t(1) and t(2) on the parabola y^(2)=4ax are...

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  20. The equation of normal at (-3,4) to the circle x^(2)+y^(2)=25 is 4x+3y...

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  21. The equation of the ellipse with foci (pm2,0) vertices (pm3,0) is:

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