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Find the equation of tangent and normal ...

Find the equation of tangent and normal to the curve `y =3x^(2) -x +1` at the point (1,3) on it.

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Find the equation of tangent and normal to the curve 2y=3-x^(2) at (1, 1).

(i) Find the equation of tangent to curve y=3x^(2) +4x +5 at (0,5) (ii) Find the equation of tangent and normal to the curve x^(2) +3xy+y^(2) =5 at point (1,1) on it (iii) Find the equation of tangent and normal to the curve x=(2at^(2))/(1+t^(2)) ,y=(2at^(2))/(1+t^(2)) at the point for which t =(1)/(2) (iv) Find the equation of tangent to the curve ={underset(0" "x=0)(x^(2) sin 1//x)" "underset(x=0)(xne0)" at "(0,0)

Knowledge Check

  • 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`

    • Similar Questions

    Explore conceptually related problems

    Find the equation of tangent and normal to : The curve y=2x^2-4x+3 at (2,3)

    Find the equation of the tangent and normal to the curve y=x^2+x+1 at (1,1).

    Find the equation of tangent and normal to the curve x^(3)+x^(2)+3xy+y^(2)=6 at the point (1,1)

    Find the equations of tangent and normals to the curves y=(1)/(1+x^(2)) at (0,1)

    Find the equation of the tangent to the curve y=3x^(2)-x+1 at P(1, 3).

    Find the equation of the tangent and normal to the circle 2x^2+2y^2-3x-4y+1=0 at the point (1,2)

    Find the equation of the tangent line to the curve : y=x^(3)-3x+5 at the point (2, 7)

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