Which of the following curves are symmetric about the X-axis? Or Y-axis? Or Origin? `x^4 - 4y^2 + y^4 + 1 = 0`.

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

The graph of the linear equation 2x-y=4 cuts the x-axis at

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 = (x-4)x in [0,4]

The area bounded by the y-axis, y = cos x and y = sin x, 0 le x le pi/4 is

Let f(x)=(ax^2+bx+c)/(x^2+1) such that y=-2 is an asymptote of the curve y=f(x) . The curve y=f(x) is symmetric about Y-axis and its maximum values is 4. Let h(x)=f(x)-g(x) ,where f(x)=sin^4 pi x and g(x)=log_(e)x . Let x_(0),x_(1),x_(2)...x_(n+1) be the roots of f(x)=g(x) in increasing order Then, the absolute area enclosed by y=f(x) and y=g(x) is given by

Fill in the blanks The area of the region bounded by the curve x= y^2 , y-axis and the lines y = 3, y = 4 is…….. .

Find the area of the region bounded by the curve y^2 = 4x , y-axis and y = 3

Which of the st. lines 2x - y + 3 = 0 and x- 4y-7=0 is farther from the origin ?

Statement I The graph of y=sec^(2)x is symmetrical about the Y-axis. Statement II The graph of y=tax is symmetrical about the origin.