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Mathematics - Circle Question with Solution | TestHub

MathematicsCircleGeneral, Basic geometries, Definition Diametrical form of circleMedium2 minQB

MathematicsMediumsingle choice

Two circles are tangent at $T$ . A common secant through $T$ cuts them again at $A, B$ with $T A = TB = 2$ ; their radii are $x + y, x, y$ . Find the area inside the largest circle but outside the two smaller circles.

Options:

Answer:

Solution:

Power at $T$ gives $T A \cdot TB = (2 x) (2 y) = 4$ , so $x y = 1$ . The required area is $π [(x + y)^{2} - x^{2} - y^{2}] = 2 π$ .

Stream:JEESubject:MathematicsTopic:CircleSubtopic:General, Basic geometries, Definition Diametrical form of circle

⏱ 2mℹ️ Source: QB

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