Determine the quadratic curve `y=f(x)` if it touches the line `y=x` at the point `x=1` and passes through the point `(-1,0)dot`

If the line y=2x touches the curve y=ax^(2)+bx+c at the point where x=1 and the curve passes through the point (-1,0), then

If the line y=2x touches the curve y=ax^(2)+bx+c at the point where x=1 and the curve passes through the point (-1,0), then

Sum of the abscissa and ordinate of the centre of the circle touching the line 3x+y+2=0 at the point (-1,1) and passing through the point (3,5) is-

The line x = y touches a circle at the point (1, 1). If the circle also passes through the point (1, -3). Then its radius is 0

The line x = y touches a circle at the point (1, 1). If the circle also passes through the point (1, -3). Then its radius is 0

The line x = y touches a circle at the point (1, 1). If the circle also passes through the point (1, -3). Then its radius is 0

Equation of circle touching line 2x+y=3 at (1,1) and also passing through point (2,3) is