Q16 of 38 Page 730

Find the equation of the circle circumscribing the triangle formed by the lines x + y = 6, 2x + y = 4 and x + 2y = 5.

Solving the equations we get the coordinates of the triangle:



The required circle equation


= 0


Using Laplace Expansion




.


More from this chapter

All 38 →
14

Find the equation of the circle which passes through the points A(1, 1) and B(2, 2) and whose radius is 1. Show that there are two such circles.

 15

Find the equation of a circle passing through the origin and intercepting lengths a and b on the axes.

 17

Show that the quadrilateral formed by the straight lines x – y = 0, 3x + 2y = 5, x – y = 10 and 2x + 3y = 0 is cyclic and hence find the equation of the circle.

 18

If ( - 1, 3) and (∝, β) are the extremities of the diameter of the circle x2 + y2 – 6x + 5y – 7 = 0, find the coordinates (∝, β).