Question
Question: The locus of the centres of circles passing through the origin and intersecting the fixed circle x<s...
The locus of the centres of circles passing through the origin and intersecting the fixed circle x2+ y2 –5x + 3y – 1 = 0 orthogonally is:
A
A straight line of the slope 3/5
B
A circle
C
A pair of straight lines
D
None of the above
Answer
None of the above
Explanation
Solution
Let circle is x2 + y2 + 2gx + 2fy + c = 0
For orthogonal inter section
= 0, – 5g – 3 (–f ) + 1 = 0
locus is 5x – 3y + 1 = 0