Mathematics - Circle Question with Solution | TestHub

MathematicsCircleGeneral, Basic geometries, Definition Diametrical form of circleMedium2 minQB

MathematicsMediumsingle choice

Find the locus of the reflection of $(2, 3)$ across the variable line $(x - 2 y + 3) + λ (2 x - 3 y + 4) = 0, λ \in R$ .

Options:

Answer:

Solution:

Each line of the pencil passes through $(1, 2)$ ; reflection preserves the distance $2$ from this point. Hence $(x - 1)^{2} +$ $(y - 2)^{2} = 2$ , the equation in D. The printed equation describes the closure of the locus; the line at the excluded pencil parameter may leave one reflection point unattained.

Stream:JEESubject:MathematicsTopic:CircleSubtopic:General, Basic geometries, Definition Diametrical form of circle

⏱ 2mℹ️ Source: QB

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