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Mathematics - Circle Question with Solution | TestHub

MathematicsCircleGeneral, Basic geometries, Definition Diametrical form of circleEasy2 minPYQ_2006

MathematicsEasysingle choice

Let $C$ be the circle with centre $(0, 0)$ and radius 3 units. The equation of the locus of the mid points of the chords of the circle $C$ that subtend an angle of $\frac{2 π}{3}$ at its centre is

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Answer:

Solution:

$cos \frac{π}{3} = \frac{h ^{2} + k ^{2}}{3} \Rightarrow h^{2} + k^{2} = \frac{9}{4}$

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

⏱ 2mℹ️ Source: PYQ_2006

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