Fill in the blanks:
The equation `ax^2 + by^2 + 2gx + 2fy + c = 0` represents a circle only if …………..

The general equation ax^2+2hxy+by^2+2gx+2fy+c=0 represents a circle if

The general equation ax^2+2hxy+by^2+2gx+2fy+c=0 represents a circle if:

Show that the equation : Ax^2 + Ay^2 + Dx + Ey + F=0 represents a circle.

Prove that the equation x^2 + y^2 + 2gx + 2fy + c = 0 represents a circle and find its centre and radius.

Fill in the blanks: At (0,0) the curves y =x^2 and y^2 = x

Fill in the blanks : inttan^2xdx =……………… .

Fill in the blanks: 20div ______= -2

The equation ax^2+4xy+y^2+ax+3y+2=0 represents a parabola. Find the value of a .

If the equation ax^2+by^2+cx+cy=0 represents a pair of straight lines , then

Let a and b be non-zero real numbers. Then the equation : (ax^2 + by^2 + c)(x^2 - 5xy + 6y^2) = 0 represents :