Prove that the locus of the circumcentre of the variable triangle having sides `x=0, y=2 and lx+my=1` where `(lm,)` lies on the parabola `y^2 = 4x` is also a parabola.

Prove that the locus of the circumcentre of the variable triangle having sides y-axis, y = 2 and lx + my = 1 where (l, m) lies on the parabola y^(2)=4ax , is also a parabola

The locus of the circumcenter of a variable triangle having sides the y-axis, y=2, and lx+my=1, where (1,m) lies on the parabola y^(2)=4x , is a curve C. The coordinates of the vertex of this curve C is

Let C be the locus of the circumcentre of a variable traingle having sides Y-axis ,y=2 and ax+by=1, where (a,b) lies on the parabola y^2=4lamdax . For lamda=2 , the product of coordinates of the vertex of the curve C is

The locus of the circumcenter of a variable triangle having sides the y-axis, y=2, and lx+my=1, where (1,m) lies on the parabola y^(2)=4x , is a curve C. The length of the smallest chord of this C is

The locus of the circumcenter of a variable triangle having sides the y-axis, y=2, and lx+my=1, where (1,m) lies on the parabola y^(2)=4x , is a curve C. The curve C is symmetric about the line

The line lx+my+n=0 is a normal to the parabola y^2 = 4ax if

The focus of the parabola y^(2)-4y-8x-4=0 is

The focus of the parabola y^(2)-4y-8x+4=0 is,

The vertex of the parabola y^(2)+4x-2y+3=0 is

The circumcentre of the triangle formed by the lines, xy + 2x + 2y + 4 = 0 and x + y + 2 = 0 is-