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MathematicsCircleTangent & NormalMedium2 minQB

MathematicsMediumsingle choice

If $x / a + y / b = 1$ touches $x^{2} + y^{2} = r^{2}$ , the point $(1/ a, 1/ b)$ lies on a

Answer:

Solution:

Writing $u = 1/ a, v = 1/ b$ , the tangency condition is $1/ u^{2} + v^{2} = r$ , so $u^{2} + v^{2} = 1/ r^{2}$ .

Stream:JEESubject:MathematicsTopic:CircleSubtopic:Tangent & Normal

⏱ 2mℹ️ Source: QB

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