Mathematics - Circle Question with Solution | TestHub

MathematicsCircleGeneral, Basic geometries, Definition Diametrical form of circleMedium2 minQB

MathematicsMediumsingle choice

Passage / Comprehension

For Q57-59: A unit circle is inscribed in equilateral triangle PQR, touching PQ, QR, RP at D, E, F. PQ: √3x + y - 6 = 0, D = (3√3/2, 3/2), and the origin and circle centre lie on the same side of PQ.

A unit circle is inscribed in equilateral $PQR$ . The points of contact with $PQ, QR, RP$ are $D, E, F$ respectively. $PQ : 3 x + y - 6 = 0, D = (33 /2, 3/2)$ , and the origin and circle centre lie on the same side of $PQ$ . Find the equation of the circle.

Options:

Answer:

Solution:

One unit normal from $D$ towards the side of $PQ$ containing the origin gives centre $(3, 1)$ .

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

⏱ 2mℹ️ Source: QB

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