Which of the following curves are symmetric about the X-axis? Or Y-axis? Or Origin? `5x^2 + 3y +1 = 0`.

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

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

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

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]

Find the equation of the parabola, which has vertex (0, 0) and is symmetric about y-axis and passes through the point (2, - 3).

If (a,0) , agt 0, is the point where the curve y=sin 2x-sqrt3 sin x cuts the x-axis first, A is the area bounded by this part of the curve, the origin and the positive x-axis. Then

The lines joining the origin to the points of intersection of the line 3x-2y -1 and the curve 3x^2 + 5xy -3y^2+2x +3y= 0 , are