the equation `x^2` + `y^2` = 0 does not represent any locus - Give reasons.

Show that the equation x^2+y^2-6x+8y+21=0 represents a circle.Find the centre and radius of the circle.

Reduce the equation 3x-2y+6=0 to the intercept form and find the x and y intercepts.

The roots of the equation x+2y=4 and 2x-y=0 are

The roots of the equation x+2y=4 and 2y-x=0 are

Does each of the following equation represent a circle? If so, find the centre and radius of the circle. (ii) x ^2 + y ^2 - 4x + 5 = 0

Does each of the following equation represent a circle? If so, find the centre and radius of the circle. (i) x ^2 + y ^2 + 2x + 4y - 45 = 0

Does each of the following equation represent a circle? If so, find the centre and radius of the circle. (iii) 2x ^2 + y ^2 - 6x -8y - 11 = 0

If 2 is a root of the equation x^2+px-8 = 0 and the equation x^2 + px + q = 0 has equal roots, find p, q .