Mathematics - Circle Question with Solution | TestHub

MathematicsCircleTangent & NormalMedium2 minQB

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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 equations of sides $QR, RP$ .

Options:

Answer:

Solution:

The other tangent sides to the circle are $y = 0$ and $y = 3 x$ , as required by the 60° angles.

Stream:JEESubject:MathematicsTopic:CircleSubtopic:Tangent & Normal

⏱ 2mℹ️ Source: QB

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