Mathematics - Circle Question with Solution | TestHub
MathematicsCircleTangent & NormalHard2 minQB
MathematicsHardsingle choice
ABCD is a rectangle with AB = a > 0, 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. Find the sharp lower bound for r1 + r2 in terms of a + b (attained when a = b).
Options:
Answer:
B
Solution:
Set A=(0,0), B=(a,0), C=(a,b), D=(0,b). The first centre is (a/2,k). Thus the sharp bound is option B, with equality exactly when a=b.
Stream:JEESubject:MathematicsTopic:CircleSubtopic:Tangent & Normal
⏱ 2mℹ️ Source: QB
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