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The equation of the circle circumscribing the triangle formed by the lines x+y=6,2x+y=4,x+2y=5 is?

The equation of the circle circumscribing the triangle formed by the lines x+y=6,2x+y=4,x+2y=5 is?

Grade:12

1 Answers

Phanindra
226 Points
6 years ago
First of all solve all the three lines....
You will get three points...
Now its easy to find the equation of the circle which is passing through all these three points...
Let equation of the circle be.  X2 + Y2 + 2gX + 2fY + C = 0...
Now substitute those three points in the circle equation...
You will again get three equations...on solving these three equations...
You will get the values of.    g,f and C....substitute these values in the circle equation. .
You will get the required circle equation. ..

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