" (2) "2y^(2)-7y+2=0

if the radical centre of the three circles x^(2)+y^(2)-2x-1=0 and x^(2)+y^(2)-3y=1 and 2x^(2)+2y^(2)-x-7y-2=0 is Q then Q_(x)+Q_(y) is

Two concentric circles have centres at (1,2) and radii r and 2r. The circle x^(2)+y^(2)+2x-7y-2=0 cuts these circles such that the common chord with one of the circles is a tangent to the other.Find the equation of both the circles.

The circle x^(2)+y^(2)+4x-7y+12=0 cuts an intercept on y-axis equal to

(i) x^(2)+9x+20=0 (ii) y^(2)+7y+12=0

Determine the nature of roots of the following quadratic equations. 2y^(2)-7y+2=0

Determine the nature of roots of the following quadratic equations. 2y^(2)-7y+2=0

I. x^(2) - 3x + 2 = 0" "II. 2y^(2) - 7y+6 = 0

Prove that the equation 2x^(2)+xy-6y^(2)+7y-2=0 represents a pair of straight lines.