Image of circle `C:x^2+y^2-8x-10y+16=0` are taken in variable line `(lambda+1)x+(1-2lambda)y+lambda=2 AA lambda in R` If locus of centre of there image intersects circle `'C'` at `A and B,` then `(AB)/(sqrt3),` is

Tangent are drawn to the circle x^2+y^2=1 at the points where it is met by the circles x^2+y^2-(lambda+6)x+(8-2lambda)y-3=0,lambda being the variable. The locus of the point of intersection of these tangents is (a) 2x-y+10=0 (b) 2x+y-10=0 (c) x-2y+10=0 (d) 2x+y-10=0

Tangent are drawn to the circle x^2+y^2=1 at the points where it is met by the circles x^2+y^2-(lambda+6)x+(8-2lambda)y-3=0,lambda being the variable. The locus of the point of intersection of these tangents is

Tangent are drawn to the circle x^2+y^2=1 at the points where it is met by the circles x^2+y^2-(lambda+6)x+(8-2lambda)y-3=0,lambda being the variable. The locus of the point of intersection of these tangents is 2x-y+10=0 (b) 2x+y-10=0 x-2y+10=0 (d) 2x+y-10=0

Tangent are drawn to the circle x^(2)+y^(2)=1 at the points where it is met by the circles x^(2)+y^(2)-(lambda+6)x+(8-2 lambda)y-3=0,lambda being the variable.The locus of the point of intersection of these tangents is 2x-y+10=0 (b) 2x+y-10=0x-2y+10=0 (d) 2x+y-10=0

Find the locus of image of the variable point (lambda^(2), 2 lambda) in the line mirror x-y+1=0, where lambda is a parameter.

For any lambda in R, the locus x^(2)+y^(2)-2 lambda x-2 lambda y+lambda^(2)=0 touches the line

Find the locus of image of the veriable point (lambda^(2), 2 lambda) in the line mirror x-y+1=0, where lambda is a peremeter.

Find the locus of image of the veriable point (lambda^(2), 2 lambda) in the line mirror x-y+1=0, where lambda is a perimeter.

Find the locus of image of the veriable point (lambda^(2), 2 lambda) in the line mirror x-y+1=0, where lambda is a peremeter.

If the equation of a circle is lambda x^(2)+(2 lambda-3)y^(2)-4x+6y-1=0, then the coordinates of centre are