If 2x-y+1=0 is a tangent on the parabola which intersect its directrix at (1,3) and focus is (2,1) ,then equation of axis of parabola is

The line x+y+2=0 is a tangent to a parabola at point A, intersect the directrix at B and tangent at vertex at C respectively.The focus of parabola is S(2,0). Then

The focus of a parabola is (1,2) and the point of intersection of the directrix and axis is (2,3).Then the equation of the parabola is

If the focus =(2,3)and directrix is x+y=1 then the equation of the parabola is ____.

The equation of the parabola with focus (3, 0) and directrix y = -3 is

If the line x+y-1=0 is a tangent to a parabola with focus (1,2) at A and intersect the directrix at B and tangebt at vertex at C respectively,then AC.BC is equal to

If the focus of a parabola is at (0,-3) and its directrix is y = 3, then its equation is

Tangent drawn at point P(1,3) of a parabola intersects its tangent at vertex at M(-1,5) and outs the axis of parabola at T.If R(-5,5) is a point on SP; where S is focus of the parabola,then

Find the equation of the parabola with vertex is at (2,1) and the directrix is x=y-1 .