Mathematics - Circle Question with Solution | TestHub

MathematicsCircleChord, Intercept (Made by the circle)Medium2 minQB

MathematicsMediumsingle choice

Find the radius of the concentric locus of midpoints of chords of a circle of radius $r$ subtending an angle $π /4$ at a point of its circumference.

Answer:

Solution:

The chord subtends $π /2$ at the centre. The distance from the centre to its midpoint is $r cos (π /4) = r / 2$ .

Stream:JEESubject:MathematicsTopic:CircleSubtopic:Chord, Intercept (Made by the circle)

⏱ 2mℹ️ Source: QB

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