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Mathematics - Circle Question with Solution | TestHub

MathematicsCircleTangent & NormalMedium2 minQB

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$A BC D$ is a unit square. A circle passes through $A, B$ while $C, D$ lie outside it. The tangent length from $D$ is 2 . Find its radius.

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Answer:

Solution:

Take $A = (0, 1), B = (0, 0), C = (1, 0), D = (1, 1)$ . A circle through $A, B$ is $x^{2} + y^{2} - y + t x = 0$ . Power at $D$ equals $1 + t = 2^{2}$ , so $t = 3$ and radius $t^{2} + 1 /2 = 10 /2$ .

Stream:JEESubject:MathematicsTopic:CircleSubtopic:Tangent & Normal

⏱ 2mℹ️ Source: QB

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