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 centre (0, 0)

D) A straight line with slope - 2

Show Answer

Answer:

Correct Answer: B

Solution:

Since locus of middle point of all chords is the diameter, perpendicular to the chord.