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Mathematics - Parabola Question with Solution | TestHub

MathematicsParabolaTangent to ParabolaMedium2 minQB

MathematicsMediumsingle choice

Consider the two parabolas $y^{2} = 4 a (x - α) & x^{2} = 4 a (y - β)$ , where 'a' is the given constant and $α, β$ are variables. If $α$ and $β$ vary in such a way that these parabolas touch each other, then equation to the locus of point of contact

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Answer:

Solution:

Let POC be $(h, k)$ . Then, tangent at $(h, k)$ to both parabolas represents same line.

Stream:JEESubject:MathematicsTopic:ParabolaSubtopic:Tangent to Parabola

⏱ 2mℹ️ Source: QB

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