If the parabolas `y^2 = 4b (x - c) " and " y^2 = 8ax` have a common tangent, then which one of the following is a valid choice for the ordered triad (a, b, c)?

The circles x^(2) +y^(2) + 2ax +c =0 and x^(2) +y^(2) +2bx +c =0 have no common tangent if

If the parabolas y^(2)=4ax and y^(2)=4c(x-b) have a common normal other than the x -axis (a,b,c being distinct positive real numbers),then prove that (b)/(a-c)>2

Obtained the condition that the parabola y^(2)=4b(x-c)andy^(2)=4ax have a common normal other than x-axis (agtbgt0) .

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

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

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

If a chord of the parabola y^2 = 4ax touches the parabola y^2 = 4bx , then show that the tangent at the extremities of the chord meet on the parabola b^2 y^2 = 4a^2 x .