Let `C_1` and `C_2` be two circles whose equations are `x^2+y^2-2x=0` and `x^2+y^2+2x=0` and `P(lambda, lambda)` is a variable point

2x^2 +2y^2 +4 lambda x+lambda =0 represents a circle for

2x^(2)+2y^(2)+4 lambda x+lambda=0 represents a circle for

Let C_(1) and C_(2) be the circles x^(2) + y^(2) - 2x - 2y - 2 = 0 and x^(2) + y^(2) - 6x - 6y + 14 = 0 respectively. If P and Q are points of intersection of these circles, then the area (in sq. units ) of the quadrilateral PC_(1) QC_(2) is :

The angle between x^(2)+y^(2)-2x-2y+1=0 and line y=lambda x + 1-lambda , is

The angle between x^(2)+y^(2)-2x-2y+1=0 and line y=lambda x + 1-lambda , is

2x^(2)+2y^(2)+2 lambda x+lambda^(2)=0 represents a circle for

If the equation x^(2)+y^(2)+6x-2y+(lambda^(2)+3lambda+12)=0 represent a circle. Then

If the equation x^(2)+y^(2)+6x-2y+(lambda^(2)+3lambda+12)=0 represent a circle. Then