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Find the equations of the tangent and the normal to the curve `16x^2+9y^2=145` at the point `(x_1,y_1)`, where `x_1=2` and `y_1gt0`

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Knowledge Check

  • Equations of the tangent and normal to the curve x^(2)+y^(2)+4x-7y+5=0 at the point (1,2) are

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

  • Find the equation of the tangent and the normal to the curve y = x^(2) + 4x + 1 at the point where x = 3

    A
    equation of the tangent `y-10x+8=0` and equation of the normal `15x+10y-223=0`
    B
    equation of the tangent `y-10x+8=0` and equation of the normal `x+10y-223=0`
    C
    equation of the tangent `y-10x-8=0` and equation of the normal `x-10y-223=0`
    D
    equation of the tangent `y-15x+8=0` and equation of the normal `x+10y-223=0`

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