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If normals are drawn to the ellipse x^2 ...

If normals are drawn to the ellipse `x^2 + 2y^2 = 2` from the point `(2, 3).` then the co-normal points lie on the curve

A

`(x^(2))/(2)+(y^(2))/(4)=1`

B

`(x^(2))/(4)+(y^(2))/(2)=1`

C

`(1)/(2x^(2))+(1)/(4y^(2))=1`

D

`(1)/(4x^(2))+(1)/(2y^(2))=1`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • Three normals are drawn to the parabola y^(2) = 4x from the point (c,0). These normals are real and distinct when

    A
    c=0
    B
    c=1
    C
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    D
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    A
    no real values possible
    B
    `(2,oo)`
    C
    `(-oo,2)`
    D
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  • if tangents are drawn to the ellipse x^(2)+2y^(2)=2 all points on theellipse other its four vertices then the mid-points of the tangents intercepted between the coorinate axs lie on the curve

    A
    `(x^(2))/(4)+(y^(2))/(2)=1`
    B
    `(x^(2))/(4x^(2))+(y^(2))/(2y^(2))=1`
    C
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    D
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