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Equation of the normal to the ellipse x^...

Equation of the normal to the ellipse `x^(2)+2 y^(2)=4`at the point `((pi)/(4))^` is

A

`x-sqrt(2) y=1`

B

` sqrt(2) x+y=1`

C

` x+y sqrt(2)=1`

D

`sqrt(2) x-y=1`

Text Solution

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The correct Answer is:
D
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HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
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  3. Equation of the normal to the ellipse x^(2)+2 y^(2)=4at the point ((pi...

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

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

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

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

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

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

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  17. S(1) and S(2) are the foci of an ellipse and B is the end of the minor...

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  18. The length of the latus - rectum of the ellipse (x^(2))/(25) + (y^(2))...

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