" What normal to the curve "y=x^(2)" forms the shortest chord."

The equation of normal to the curve y^(2)=8x is

The equation of normal to the curve y=6-x^(2), where the normal is parallel to the line x-4y+3=0 is

Slope of normal to the curve y=x^2-x and x=2 is

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

The equation of the normal to the curve y=x(2-x) at the point (2, 0) is

The normal to the curve x^(2) = 4y passing (1,2) is

" The area of the triangle formed by the tangent and normal at "(a,a)" on the curve "y(2a-x)=x^(2)" and the "x" -axis is "