Find the Coordinates of circumcenter of a triangle whose sides lie along the lines X=0, Y=0 and 3 X + - Maths - Straight Lines

Question

Find the Coordinates of circumcenter of a triangle whose sides lie
along the lines X=0, Y=0 and 3 X + 2 Y = 12

Varun Rawat · Accepted Answer

The given equations are :x = 0    
1y = 0    
23x + 2y = 12     
3Equation 1 represents y-axis
Equation 2 represents x-axis
Consider 3,When x = 0; y = 6When x = 4; y = 0

GRAPH :

Now, ∆AOB is a right angled triangle in which AB is the hypotenuse
Now, we know that mid point of the hypotenuse of right angled ∆ is the circumcentre of right triangle
Let α, β be the coordinates of mid point of AB
Now, α = 0 + 42   and  β = 6 + 02⇒α = 2   and   β = 3So, coordinates of circumcentre of ∆AOB is 2,3

Find the Coordinates of circumcenter of a triangle whose sides lie along the lines X=0, Y=0 and 3 X + 2 Y = 12