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 incentre of the triangle with vertices  (1, 3 ), (0, 0) and (2, 0) is:
MathematicsStraight LinesTS EAMCETTS EAMCET 2021 (04 Aug Shift 1)
Options:
  • A 1,32
  • B 23,13
  • C 23,32
  • D 1, 13
Solution:
1500 Upvotes Verified Answer
The correct answer is: 1, 13

AB=3-02+1-02=2

BC=0-02+2-02=2

AC=0-32+2-12=2

So, triangle is equilateral triangle.

So, the incentre is the same as the centroid.

Incentre 

=1+0+23,3+0+03=1,13

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.