Which of the following curves are symmetric about X-axis? Or Y-axis? Or origin? `x^2+y^2=1`.

Is the parabola y^2=4x symmetrical about x-axis?

Apply Rolle's theorem to find point (or points) on the following curves where the tangent is parallel to x -axis. y = x^2 in[-2.2]

Find the equation of the parabola which is symmetric about y-axis and passes through the point (2,-3) .

At what points on the following curve, is the tangent parallel to x-axis? y = x^2 on [-2,2]

Apply Rolle's theorem to find oint (or points) on the following curves where the tangent is parallel to x -axis. y = 16 - x^2 , x in [-1,1]

At what points on the following curve, is the tangent parallel to x-axis? y = cos x - 1 on [0,2pi]

Find the points on the following curve at which the tangents are parallel to x-axis. y = x^3 - 3x^2 - 9x+7 .

Apply Rolle's theorem to find point (or points) on the following curves where the tangent is parallel to x -axis. y = -1 + cos x in [0,2pi]

Is the circle x^2+y^2=r^2 symmetrical about the line y=x?

The horizontal axis called (i) x - axis , (ii) y- axis (iii) origin