Which of the following curves are symmetric about X-axis? Or Y-axis? Or origin? Xy = 7.

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

Obtain the differential equation of each of the following families of plane curves: all circles touching y-axis at origin.

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

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]

At what points on the following curve, is the tangent parallel to x-axis? y = cos x - 1 on [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).

Suppose R is relation whose graph is symmetric to both X-axis and Y-axis and that the point (1,2) is on the graph of R. Which one of the following is not necessarily on the graph of R?

Statement 1: The quadratic polynomial y=ax^(2)+bx+c(a!=0 and a,b in R) is symmetric about the line 2ax+b=0 Statement 2: Parabola is symmetric about its axis of symmetry.

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