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The equation of the normal to the ellips...

The equation of the normal to the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1`at the end of the latus rectum in the first quadrant is

A

`x+e y-a e^(3)=0`

B

` x-e y+a e^(3)=0`

C

`x-e y-a e^(3)=0`

D

` x+e y+a e^(3)=0`

Text Solution

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The correct Answer is:
C
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HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
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  3. The equation of the normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(...

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  4. The normal to the ellipse x^(2)+4 y^(2)=20 at the point (4,-1) is give...

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  5. If the line y cos alpha=x sin alpha+a cos alpha be a tangtnt to the c...

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  6. The equation of the normal to the ellipse (x^(2))/(10)+(y^(2))/(5)=1 a...

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  7. Equation of the normal to the ellipse x^(2)+2 y^(2)=4at the point ((pi...

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  8. The equation of the tangent to the parabola y^(2)=16 x at (1,4) is

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  9. The tangent of the ellipse x^(2)+5 y^(2)=14 at (3,-1) is given by

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  10. If any tangent to (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 makes intercepts p...

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  11. The tangent making an angle 60^(circ) with the major axis and touching...

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  12. If the minor axis of an ellipse subtends an angle60^(circ) at each foc...

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  13. The auxilary circle of the ellipse 9 x^(2)+4 y^(2)=1 is

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  14. P is any point on the ellipse 9x^(2) + 36y^(2) = 324 whose foci are S ...

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  15. Let P be a variable point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

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  16. Eccentric angle of a point on the ellipse x^(2)+3 y^(2)=6 at a distanc...

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  17. The eccentricity of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 whose...

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  18. The distance of the point theta^(prime) on the ellipse (x^(2))/(a^(2)...

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  19. The number of real tangents that can be drawn to the ellipse 3 x^(2)+5...

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  20. The number of tangents from (4,7) to the ellipse (x^(2))/(16)+(y^(2))/...

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