Maximum no,of parallel common tangents of curves `y=x^(3)-x^(2)-2x+5 and y=x^(2)-x+3` is

The common tangent of the curves y=x^2+(1)/(x) and y^(2)=4x is

The common tangent of the curves y=x^(2) +(1)/(x) " and " y^(2) =4 x is

The gradient of the common tangent to the two curves y=x^(2)-5x+6 and y=x^(2)+x+1 is: -(1)/(3)(b)-(2)/(3)(c)-1(d)-3

The equation of tangent to the curve y=x^(3)-6x^(2)-2x+3 at x=1 is:

The equation of common tangent of the curve x^(2) + 4y^(2) = 8 and y^(2) =4x are

Sum of slopes of common tangent to y = (x^(2))/(4) - 3x +10 and y = 2 - (x^(2))/(4) is

Slope of the tangent to the curve y=x^(2)+3 at x=2 is

Common tangent to the curve y^2=2x-3 and x^2=4y lies parallel to the line

Find common tangent of the two curve y^(2)=4x and x^(2)+y^(2)-6x=0 (a) y=(x)/(3)+3 (b) y=((x)/(sqrt(3))-sqrt(3)) (c) y=(x)/(3)-3 (d) y=((x)/(sqrt(3))+sqrt(3))

The abscissa of the points, where the tangent to curve y=x^(3)-3x^(2)-9x+5 is parallel to X-axis are