common tangent to `y=x^3` and ` x=y^3 `

Common tagent (s) to y=x^(3)and x=y^(3) is/are

The equation of the common tangent to y^(2)=4x and 3x^(2) -4y^(2) =12 are

x-2y+4=0 is a common tangent to y^2=4x and x^4/4+y^2/b^2=1. Then the value of b and the other common tangent are given by

If m be the slope of common tangent of y=x^(2)-x+1 and y=x^(2)-3x+1. Then m is equal to

The equations of the common'tangents to y^(2)=4x and 3x^(2)-4y^(2)=12 are

If m be the slope of common tangent of y = x^2 - x + 1 and y = x^2 – 3x + 1 . Then m is equal to

The common tangents to y^(2)=8x and the curve 3x^(2)-y^(2)=3 meet y^(2)=8x at P and Q. The length of PQ is

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

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