Mathematics - Parabola Question with Solution | TestHub

MathematicsParabolaNormal to ParabolaHard3 minQB

MathematicsHardnumerical

The set of $k$ for which $y^{2} = 4 x$ and $y^{2} = x - k$ have a common normal other than the x -axis is $(α, \infty)$ . Find $α$ .

Answer:

1.50

Solution:

Equating a common normal of slope $m$ gives $3 m^{2} = 4 k - 6 > 0$ , hence $k > 3/2$ and $α = 1.50$ .

Stream:JEESubject:MathematicsTopic:ParabolaSubtopic:Normal to Parabola

⏱ 3mℹ️ Source: QB

Loading discussions...