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If a gt b and e is the eccentricity of t...

If `a gt b` and e is the eccentricity of the ellipse then the equation of the normal at the end of the latusrectum in the first quadrant is

A

`x-ey+ae^(3)=0`

B

`x+ey-ae^(3)=0`

C

`x+ey+ae^(3)=0`

D

`x-ey-ae^(3)=0`

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-ELLIPSE-PRACTICE EXERCISE
  1. The equation of the normal to the ellipse x^(2)/4+y^(2)/1=1 at (2, -1)...

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  2. The equations of the tangents drawn from (2, 3) to the ellipse 9x^(2) ...

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  3. If a gt b and e is the eccentricity of the ellipse then the equation ...

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  4. If the normal at one end of latusrectum of an ellipse (x^(2))/(a^(2))...

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  5. The equation to the locus of point of intersection of lines y-mx=sqr...

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  6. The number of tangents that can be drawn to an ellipse perpendicular t...

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  7. If the chords of contact of tangents from two points to the ellipse ar...

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  8. The mid point of the chord 3x - 2y + 8 = 0 of the ellipse 3x^(2) + 4y^...

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  9. The distance of a point on the ellipse x^(2) + 3y^(2) = 6 from its cen...

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  10. The equation of the tangent at a point theta=3pi//4 to the ellipse x^(...

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  11. The equation of the normal to the ellipse at the point whose eccentri...

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  12. P is a point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 S and S...

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  13. If the chord joining two points whose eccentric angles are alpha and ...

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  14. If alpha and beta are the eccentric angles of the ends of a focal chor...

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  15. The minimum area of triangle formed by the tangent to the ellipse (x^(...

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  16. If a tangent to the ellipse meets major and minor axis at M and N resp...

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  17. The locus of the variable point P for which the chord of contact of to...

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  18. If pi+theta is the eccentric angle of a point on the ellipse 16x^(2)+2...

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  19. The locus of midpoints of chords of the ellipse x^(2)//a^(2)+y^(2)//b^...

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  20. If y = mx + c is a normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

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