The set of real values of 'a' for which at least one tangent to `y^(2)=4ax` becomes normal to the circle
`x^(2)+y^(2)-2ax-4ay+3a^(2)-0,` is

The set of real value of 'a' for which at least one tangent to the parabola y^(2)=4ax becomes normal to the circle x^(2)+y^(2)-2ax-4ay+3a^(2)=0 is

The condition that the two tangents to the parabola y^(2)=4ax become normal to the circle x^(2)+y^(2)-2ax-2by+c=0 is given by

Find the equation of tangent and normal at (3, 2) of the circle x^(2) + y^(2) - x -3y - 4 = 0.

Find the equation of tangent and normal at (3, 2) of the circle x^(2) + y^(2) - 3y - 4 = 0.

The set of exhaustive values of a for which the equation |ax-2|=2x^(2)+ax+4 has at least one positive root,is

The value of a for which the area between the curves y^(2) = 4ax and x^(2) = 4ay is 1 unit is

The value of a for which the area between the curves y^(2) = 4ax and x^(2) = 4ay is 1 unit is

The total number of common tangents to the curve y^(2)=4ax and x^(2)+y^(2)-2ax=0 is