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

Find the equations of the tangent to the curve y=3x^(2)-x^(3) , where it meets the X-axis.

Let y=y(x) be the solution curve of the differential equation (y^(2)-x)(dy)/(dx)=1 satisfying y(0)=1 .This curve intersects the x -axis at a point whose abscissa is

Let y=y(x ) be the solution curve of the differential equation (y^(2)-x)(dy)/(dx)=1 satisfying y(0)=1. This curve intersects the x -axis at a point whose abscissa is

The equation of the normal to the curve y=2x^3+6x^2-9 where the curve crosses the y-axis is

If the lines x + y =a and x - y = b touch the curves y = x^2 -3 x + 2 at points where the curve intersects the x - axis then a/b is equal to ______.

The equation of the tangent to the curve y(x-2)(x-3)-x+7=0 where the curve cuts x-axis is

Find the equation of normal of the curve 2y= 7x - 5x^(2) at those points at which the curve intersects the line x = y.

Find the equation of normal of the curve 2y= 7x - 5x^(2) at those points at which the curve intersects the line x = y.