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(i) Find the equation of the tangent and...

(i) Find the equation of the tangent and normal at (2, 1) on the ellipse `2x^(2) + 3y^(2) = 11`
(ii) Find the equaiton of the tangent and normal at (-1,2) on the ellipse `x^(2) + 8y^(2) = 33`

Text Solution

Verified by Experts

The correct Answer is:
(i) 4x + 3 y - ll = 0 ,3 x -4 y = 2
(ii) x -1 6 y + 33 = 0,16x+ y + 14 = 0
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Find the equation of the tangent and normal at (-1,2) on the ellipse x^(2)+8y^(2)=33

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Knowledge Check

  • The equations of the tangents drawn from (2, 3) to the ellipse 9x^(2) + 16y^(2) = 144

    A
    y=3,x+y=5
    B
    x=2,x+y=5
    C
    x=2,y=3
    D
    y=3,x-y+1=0

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