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Axis

Let y2=4ax ...

Question

Let $y^{2} = 4 a x$ be a parabola and $x^{2} + y^{2} + 2 b x = 0$ be a circle. If parabola and circle touch each other externally then:

a > 0, b > 0

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a > 0, b < 0

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a < 0, b > 0

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a < 0, b < 0

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Solution

The correct options are
A $a > 0, b > 0$
D $a < 0, b < 0$

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Similar questions

y^{2} = 4 a x

x^{2} + y + 2 b x = 0

If the circles $x^{2} + y^{2} + 2 a x + c = 0 a n d x^{2} + y^{2} + 2 b y + c = 0$ touch each other, then c is _________.where $a & b ϵ R$ .

x^{2} + y^{2} + 2 λ x = 0, λ ϵ R,

y^{2} = 4 x

a x + b y = 0

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x^{2} + y^{2} - 4 x + 2 y - 3 = 0

(a, b)

x^{2} + y^{2} - 2 a x + c^{2} = 0

x^{2} + y^{2} - 2 b y + c^{2} = 0

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