Circle And System Of Circles Question 107

Question: Locus of the middle points of the chords of the circle $ x^{2}+y^{2}=a^{2} $ which are parallel to $ y=2x $ will be

Options:

A) A circle with radius a

B) A straight line with slope $ -\frac{1}{2} $

C) A circle will have its centre at (0, 0)

D) A straight line with slope - 2

Show Answer

Answer:

Correct Answer: B

Solution:

Since the locus of the midpoint of all chords is the diameter, which is perpendicular to the chord.



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