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The equation of the normal to the ellips...

The equation of the normal to the ellipse `x^(2)/4+y^(2)/1=1` at (2, -1) is

A

x-y-13=0

B

5x-y+8=0

C

3x+3y-3=0

D

2x+y-3=0

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The correct Answer is:
D
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AAKASH SERIES-ELLIPSE-PRACTICE EXERCISE
  1. The quadratic equation whose one root is (3+sqrt(5))/(2-sqrt(5)) is

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  2. The equation to the auxiliary circle of (x^(2))/(12)+(y^(2))/(18)=1 is

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  3. The equation of the normal to the ellipse x^(2)/4+y^(2)/1=1 at (2, -1)...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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