Circle And System Of Circles Question 171

Question: If the coordinates of one end of the diameter of the circle $ x^{2}+y^{2}-8x-4y+c=0 $ are (-3, 2), then the coordinates of other end are

[Roorkee 1995]

Options:

A) (5, 3)

B) (6, 2)

C) (1, -8)

D) (11, 2)

Show Answer

Answer:

Correct Answer: D

Solution:

Obviously the centre of the circle is (4, 2) which should be the middle point of the ends of diameter.

Hence the other end is (11, 2).