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Find the equation of tangent to the ellipse 4x^2+5y^2=20 which are perpendicular to the line 3x+2y-5=0

  • Maths -

    take the derivative of the ellipse equation using implicit differentiation.
    The slope of 3x+2y - 5 = 0 is -3/2
    so the slope of the perpendicular will be +2/3

    set your derivative of the ellipse equal to 2/3 .
    You will get a linear equation in x and y
    Solve that with the original ellipse equation.
    (I would use substituion)

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