Mathematics - Circle Question with Solution | TestHub

MathematicsCircleCommon tangents to two circlesMedium2 minQB

MathematicsMediummultiple choice

$C_{1}, C_{2}$ are two circles of radii $a, b (a < b)$ touching both the coordinate axes and have their centres in the first quadrant. Then the true statements among the following are

Options:(select one or more)

Answer:

A, B, C, D

Solution:

Equation of $C_{1}$ is $(x - a)^{2} + (y - a)^{2} = a^{2}$

Equation of $C_{2}$ is $(x - b)^{2} + (y - b)^{2} = b^{2}$ If a variable tangent to the circle

Stream:JEESubject:MathematicsTopic:CircleSubtopic:Common tangents to two circles

⏱ 2mℹ️ Source: QB

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