Mathematics - Circle Question with Solution | TestHub

MathematicsCircleFamily of circlesMedium2 minQB

MathematicsMediummultiple choice

Find the possible centres of a circle through $(0, 0), (1, 0)$ and tangent to $x^{2} + y^{2} = 9$ .

Answer:

C, D

Solution:

Such a circle is $x^{2} + y^{2} - x + λ y = 0$ . Tangency gives $λ = \pm 22$ , so the centres are (1/2, ± $2$ ).

Stream:JEESubject:MathematicsTopic:CircleSubtopic:Family of circles

⏱ 2mℹ️ Source: QB

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