" 6.The curve "y=x^(1/5)" has at "(0,0)" is parallel to which axis? "

At (0,0) ,the curve y = x^(1//5) has

True or False statements: Tangent to the curve y = x^2 at x = 0 is parallel to the x-axis.

The curve given by x+y=e^(x y) has a tangent parallel to the y-axis at the point (a) (0,1) (b) (1,0) (c) (1,1) (d) none of these

The curve given by x+y=e^(x y) has a tangent parallel to the y-axis at the point (a) (0,1) (b) (1,0) (c) (1,1) (d) none of these

The curve given by x+y=e^(x y) has a tangent parallel to the y- axis at the point (a) (0,1) (b) (1,0) (c) (1,1) (d) none of these

The curve given by x+y=e^(xy) has a tangent parallel to the y-axis at the point (0,1)(b)(1,0)(1,1) (d) none of these

The curve given by x+y=e^(x y) has a tangent parallel to the y - axis at the point (0,1) (b) (1,0) (c) (1,1) (d) none of these

If normal to the curve x^(2)+y^(2)-2x-3=0 is parallel to the y-axis ,then :

The intercepts made by the tangent to the curve y=int_(0)^(x) |t| dt, which is parallel to the line y=2x on y-axis are equal to