Mathematics - Circle Question with Solution | TestHub

MathematicsCircleGeneral, Basic geometries, Definition Diametrical form of circleMedium2 minQB

MathematicsMediummultiple choice

A circle is inscribed in a trapezium in which one of the non-parallel sides is perpendicular to the two parallel sides. Then

Answer:

B, C

Solution:

: $D C + A B = A D + CB \Rightarrow CB = a + b - 2 r$

The triangle CNB gives

$(2 r)^{2} + (b - a)^{2} = (a + b - 2 r)^{2}$

Which gives $r = \frac{ab}{a + b} \Rightarrow 2 r = \frac{2 ab}{a + b}$

Area $= \frac{1}{2} (a + b) 2 r = ab$ .

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

⏱ 2mℹ️ Source: QB

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