Mathematics - Circle Question with Solution | TestHub

MathematicsCircleTangent & NormalMedium2 minPYQ_2011

MathematicsMediumsingle choice

If the lines $3 x - 4 y + 4 = 0$ and $6 x - 8 y - 7 = 0$ are tangents to a circle, then the radius of the circle is

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Answer:

Solution:

The diameter of the circle is perpendicular distance between the parallel lines (tangents) $3 x - 4 y + 4 = 0$ and $3 x - 4 y - \frac{7}{2} = 0$ and so it is equal to $\frac{4}{9 + 16} + \frac{7/2}{9 + 16} = \frac{3}{2}$ . Hence radius is $\frac{3}{4}$

Stream:BITSATSubject:MathematicsTopic:CircleSubtopic:Tangent & Normal

⏱ 2mℹ️ Source: PYQ_2011

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