True or False :
Locus of the equation `x^2 + y^2 = 0` is a set containing a single point.

Name the locus of the equation x^2+y^2=0 .

What is the locus of the equations x^2+y^2+z^2=0 ?

If the equation x^2-y^2-2x-2y+c=0 represent an empty set , then find the value of c.

Without change of axes the origin is shifted to (h, k), then from the equation x^(2)+y^(2)-4x+6y-7=0 , the term containing linear powers are missing, then point (h, k) is

Shift the origin to a suitable point so that the equation y^2+4y+8x-2=0 will not contain a term in y and the constant term.

True or False : The function f(x) = log x^2 has only one point of discontinuity.

The following statement is true or false ? Give reasons for your answer : Only one line can pass through a single point.

True or false: The differential equation (d^2x)/(dy^2)=0 represents a family of straight line.

Write whether the following statement is True or False ? Justify your answers : The graph of the linear equation x+2y=7 passes through the point (0, 7).

True or false The line x=y=z lies in the plane x-2y+z-1=0.