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Mathematics - Circle Question with Solution | TestHub

MathematicsCircleTangent & NormalMedium2 minQB

MathematicsMediumsingle choice

Passage / Comprehension

For Q66-68: ABCD is a rectangle with AB = a > 0 and BC = b > 0. A circle through A, B touches CD and has radius r1; another circle through B, C touches AD and has radius r2.

$A BC D$ is a rectangle with $A B = a > 0, BC = b > 0$ . A circle through $A, B$ touches $C D$ and has radius $r_{1}$ . Another circle through $B, C$ touches $A D$ and has radius $r_{2}$ . Find $r_{1} / r_{2}$ .

Options:

Answer:

Solution:

By symmetry $r_{2} = (4 a^{2} + b^{2}) / (8 a)$ . Divide the expressions for $r_{1}, r_{2}$ .

Stream:JEESubject:MathematicsTopic:CircleSubtopic:Tangent & Normal

⏱ 2mℹ️ Source: QB

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