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प्रश्न
Find the equation of the circle which circumscribes the triangle formed by the lines 2x + y − 3 = 0, x + y − 1 = 0 and 3x + 2y − 5 = 0
उत्तर
In \[∆\]ABC:
Let AB represent the line 2x + y − 3 = 0. ...(1)
Let BC represent the line x + y − 1 = 0. ...(2)
Let CA represent the line 3x + 2y − 5 = 0. ...(3)
Intersection point of (1) and (3) is (1, 1).
Intersection point of (1) and (2) is (2, −1).
Intersection point of (2) and (3) is (3, −2).
The coordinates of A, B and C are (1, 1), (2, −1) and (3, −2), respectively.
Let the equation of the circumcircle be
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