Start Free Mock LoginAlready registered? Login here

Mathematics - Parabola Question with Solution | TestHub

MathematicsParabolaTangent to ParabolaHard2 minQB

MathematicsHardsingle choice

If parabola of latusrectum 'u' touches a fixed equal parabola, the axes of two curves being parallel, then the locus of the vertex of the moving curve is

Options:

Answer:

Solution:

Let $(α, β)$ be the vertex of the moving parabola and its equation is

$(y - β)^{2} = - 4 a (x - α)$

Let the equation of fixed parabola be $y^{2} = 4 a x - \dots - \dots - \dots$ (2) (Here $4 a = u$ )

Stream:JEESubject:MathematicsTopic:ParabolaSubtopic:Tangent to Parabola

⏱ 2mℹ️ Source: QB

Doubts & Discussion

Loading discussions...