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Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeRate MeasureMedium2 minQB

MathematicsMediuminteger

A circular arc $A BC$ has variable radius $r$ and subtends 30° at $A$ . The circumcircle through $A, B, C$ has radius $R$ . Find $2 cos 1 5^{\circ} d R / d r$ .

Answer:

Solution:

By the extended sine rule, $R = r / (2 cos 1 5^{\circ})$ . Differentiating gives $2 cos 1 5^{\circ} d R / d r = 1$ .

Stream:JEESubject:MathematicsTopic:Application of DerivativeSubtopic:Rate Measure

⏱ 2mℹ️ Source: QB

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