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Mathematics - Circle Question with Solution | TestHub

MathematicsCircleGeneral, Basic geometries, Definition Diametrical form of circleMedium2 minQB

MathematicsMediumsingle choice

$A, B$ are the feet of the perpendiculars from $O (0, 0)$ to $x - 2 y + 1 = 0$ and $2 x - y - 1 = 0$ . The circumradius of $△ O A B$ is

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Answer:

Solution:

The two given lines meet at $P = (1, 1)$ . Since $∠ O A P = ∠ OBP = 9 0^{\circ}, O, A, P, B$ are concyclic on the circle with diameter $OP$ . Thus the radius is $∣ OP ∣/2 = 1/ 2$ .

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

⏱ 2mℹ️ Source: QB

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