The circle x2 - y2 - 2- x - 0- - R- touches the parabola y2 - 4x externally- Then

The correct option is B λ > 0 The graph shows λ gt;0 . ...

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Standard XII

Mathematics

Auxiliary Circle of Ellipse

The circle ...

Question

The circle $x^{2} + y^{2} + 2 λ x = 0, λ \in R$ , touches the parabola $y^{2} = 4 x$ externally. Then

λ > 0

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λ < 0

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λ > 1

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None of these

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Solution

The correct option is B $λ > 0$
The graph shows $λ > 0$ .

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The circle x2+y2+2λx=0,λ∈R, touches the parabola y2=4x externally. Then

The correct option is B λ>0The graph shows λ>0.

The circle $x^{2} + y^{2} + 2 λ x = 0, λ \in R$ , touches the parabola $y^{2} = 4 x$ externally. Then

The correct option is B $λ > 0$
The graph shows $λ > 0$ .