Question

find the equation of circum -circle of triangle formed by the straight lines given in each of the following 2x+y=4, x+y=6, x+2y= 5

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Answer 1

Answer:

Pair of lines we have, 

xy+2x+2y+4=0x(y+2)+2(y+2)=0(y+2)(x+2)=0

∴ sides of the triangle are 

x=−2y=−2x+y=−2

Coordinates of the triangles are 

(0,−2), (−2,0) and (−2,−2)

Given triangle is the right-angled triangle, therefore the circumcentre of the triangle is the midpoint of the hypotenuse.

Mid-point of hypotenuse is (2−2+0,20−2)=(−1,−1)