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Mathematics - Circle Question with Solution | TestHub

MathematicsCircleGeneral, Basic geometries, Definition Diametrical form of circleMedium2 minQB

MathematicsMediumsingle choice

All chords of $x^{2} + y^{2} - 10 x - 4 y + 4 = 0$ that subtend a right angle at (8, -2) pass through

Options:

Answer:

Solution:

The point $(8, - 2)$ lies on the circle $(x - 5)^{2} + (y - 2)^{2} = 25$ . A chord subtending a right angle at a point on the circle is a diameter, hence passes through (5, 2).

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

⏱ 2mℹ️ Source: QB

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