Mathematics - Circle Question with Solution | TestHub

MathematicsCircleTangent & NormalMedium2 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 contact points $F, E$ respectively.

Options:

Answer:

Solution:

With centre $(3, 1)$ , the side $QR$ is $y = 0$ and $E = (3, 0)$ . The other contact point is $F = (3 /2, 3/2)$ .

Stream:JEESubject:MathematicsTopic:CircleSubtopic:Tangent & Normal

⏱ 2mℹ️ Source: QB

Doubts & Discussion

Loading discussions...