Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
The locus of the centre of the circle which makes equal intercepts on the lines x+y=1 and x+y=5 is
MathematicsCircleJEE Main
Options:
  • A x-y=2
  • B x+y=6
  • C x+y=3
  • D x-y=0
Solution:
1113 Upvotes Verified Answer
The correct answer is: x+y=3
Let center be h,k 
Since it makes equal intercepts on the two given lines
Hence, the center is equidistant from both the lines
i.e. h+k-12=h+k-52h+k=3

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.