Search any question & find its solution
Question:
Answered & Verified by Expert
Consider the circles $x^{2}+y^{2}+2 a x+c=0$ and $x^{2}+y^{2}+2 b y+c=0$
What is the distance between the centres of the two circles?
Options:
What is the distance between the centres of the two circles?
Solution:
1466 Upvotes
Verified Answer
The correct answer is:
$\sqrt{a^{2}+b^{2}}$
Equations of circles are $x^{2}+y^{2}+2 a x+c=0$
and $x^{2}+y^{2}+2 b y+c=0$
Since, the centres of two circles are $(-a, 0)$ and $(0,-b)$
- Distance between two centres $=\sqrt{\mathrm{a}^{2}+\mathrm{b}^{2}}$
and $x^{2}+y^{2}+2 b y+c=0$
Since, the centres of two circles are $(-a, 0)$ and $(0,-b)$
- Distance between two centres $=\sqrt{\mathrm{a}^{2}+\mathrm{b}^{2}}$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.