Mathematics - Parabola Question with Solution | TestHub

MathematicsParabolaGeneralMedium2 minQB

MathematicsMediumsingle choice

The radius of largest circle which passes through focus of parabola $y^{2} = 4 (x + y)$ and also contained in it is

Answer:

Solution:

Parabola is $y^{2} - 4 y = 4 x \Rightarrow (y - 2)^{2} = 4 (x + 1)$

$Focus = (0, 2)$

Let radius of circle $= r$ then centre $= (r, 2)$

Circle is $(x - r)^{2} + (y - 2)^{2} = r^{2}$

$\Rightarrow (x - r)^{2} + 4 (x + 1) = r^{2} has equal roots Δ = 0 \Rightarrow r = 4$

Stream:JEESubject:MathematicsTopic:ParabolaSubtopic:General

⏱ 2mℹ️ Source: QB

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