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The equation of a curve is given as y=x^...

The equation of a curve is given as `y=x^(2)+2-3x`.
The curve intersects the x-axis at

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C
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The normal to the curve y(x-2)(x-3)=x+6 at the point where the curve intersects the y-axis , passes through the point : (1) (1/2,1/3) (2) (-1/2,-1/2) (3) (1/2,1/2) (4) (1/2,-1/3)

The equation of normal to x+y=x^(y) , where it intersects X-axis, is given by

Knowledge Check

  • The equation of tangent to the curve y(1+x^(2))=2-x , where it crosses X-axis is ………….

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

  • The equation of normal to the curve x+y=x^(y) where it cuts X -axis is …………

    A
    `y=x+1`
    B
    `y=-x+1`
    C
    `y=x-1`
    D
    `y=-x-1`

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