Home
Class 12
MATHS
Find the coordinates of the circumcenter...

Find the coordinates of the circumcenter of the triangle whose vertices are `(A(5,-1),B(-1,5),` and `C(6,6)dot` Find its radius also.

Text Solution

AI Generated Solution

To find the coordinates of the circumcenter of the triangle with vertices A(5, -1), B(-1, 5), and C(6, 6), we will follow these steps: ### Step 1: Understand the Circumcenter The circumcenter of a triangle is the point where the perpendicular bisectors of the sides of the triangle intersect. ### Step 2: Find the Midpoints of the Sides First, we need to find the midpoints of at least two sides of the triangle. ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • COORDINATE SYSYEM

    CENGAGE ENGLISH|Exercise Illustration1.12|1 Videos
  • COORDINATE SYSYEM

    CENGAGE ENGLISH|Exercise Illustration1.13|1 Videos
  • COORDINATE SYSYEM

    CENGAGE ENGLISH|Exercise Illustration1.10|1 Videos
  • COORDINATE SYSTEM

    CENGAGE ENGLISH|Exercise Multiple Correct Answers Type|2 Videos
  • CROSS PRODUCTS

    CENGAGE ENGLISH|Exercise DPP 2.2|13 Videos

Similar Questions

Explore conceptually related problems

Find the coordinates of the circumcentre of the triangle whose vertices are (5, 7), (6, 6) and (2, -2)

Find the co-ordinates of the circumcentre of a triangle whose vertices are (7,5) , (6,6) and (-2,2) .

Find the coordinates of the orthocentre of the triangle whose vertices are (0, 1), (2, -1) and (-1, 3)

Find the coordinates of the circumcentre of the triangle whose vertices are (8,6),(8,-2) and (2,-2) Also, find its circum-radius.

Find the co-ordinates of the centroid of a triangle ABC whose vertices are : A(-1, 3), B(1, -1) and C(5, 1)

Find the coordinates of the circumcentre of the triangle whose vertices are (3,\ 0),\ (-1,\ -6) and (4,\ -1) . Also, find its circumradius.

Find the coordinates of the circumcentre of the triangle whose vertices are (8,6),(8-2) and (2,-2) Also, find its circum-radius.

Find the area of the triangle, whose vertices are (2,1), (4,5) and (6,3).

Find the centroid of the triangle whose vertices are A(-1,0), B(5, -2) and C(8, 2).

Find the coordinates of the centroid of a triangle whose vertices are (0,\ 6),\ (8,\ 12) and (8,\ 0) .