1.

Let L:y = mx +c C_(1) :x^(2) = 4y C_(2):y^(2) = 4ax, a ne 0 be three curves in xy plane. If L is normal to C_(1) and tangent to C_(2) then the possible value of a^(2) can be

Answer»

1
4
6
16

Solution :Equation of NORMAL to `x^(2) =4y` is
`x=-yt + t^(3) + 2t`…….(1)
If the line TOUCHES `t in R y^(2) = 4ax`, then `t^(2) + at + 2=0`
As `t in R, D ge 0`
`a^(2) ge 8`


Discussion

No Comment Found

Related InterviewSolutions