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
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Answer:
Correct Answer: B
Solution:
Since the locus of the midpoint of all chords is the diameter, which is perpendicular to the chord.