Find the condition for the line y=mx+c to be a tangent to the parabola `x^(2)=4ay`.

Statement-I : The condition for the line y = mx+c to be a tangent to (x+a)^(2) = 4ay is c = am(1-m). Statement-II : The condition for tbe line y = mx + c to be a focal chord to y^(2) = 4ax is c+am=0 Statement-III : The condition for the line y = mx + c to be a tangent x^(2)=4ay is c = - am^(2) Which of above stattements is true

Find the value of k if the line 2y=5x+k is a tangent to the parabola y^(2)=6x

If the line x-y+k =0 is a tangent to the parabola x^(2) = 4y then k = ?

Find the value of k so that the line y = 3x + k is a tangent to the parabola y^(2) = - 12 x

The value of m for which the line y=mx+2 becomes a tangent to the hyperbola 4x^(2)-9y^(2)=36 is

If the line y=mx+c touches the parabola y^(2)=4a(x+a) , then

If the line y=mx+c touches the parabola y^(2)=4a(x+a) , then

Find the condition that the straight line y = mx + c touches the hyperbola x^(2) - y^(2) = a^(2) .

The common tangent to the parabola y^2=4ax and x^2=4ay is

The locus of the point of intersection of the perpendicular tangents to the parabola x^2=4ay is .