Question

5.Find the circumcentre of the triangle whose vertices are (1 3) (-3 5) and (5 1) ​

Answer 1

Answer:

5.Find the circumcentre of the triangle whose vertices are (1 3) (-3 5) and (5 1) is -8,-10

Answer 2

Answer:

A=(1,3),B=(−3,5)&C=(5,−1)

Equation of circle with AB as diameter,

(x−1)(x+3)+(y−3)(y−5)=0(1)

Equation of line AB ,

(x1−x2)(y−y1)−(y1−y2)(x−x1)=0⟹

4y+2x−14=0(2)

equation of general circle passing through A and B.

(x−1)(x+3)+(y−3)(y−5)+K(4y+2x−14)=0(3)

Plugging (5,−1)

56–8K=0;K=7

writing back the value of K, equation of circum center is

x2+y2+16x+20y−86=0

Circum center=(−8,−10)

Step-by-step explanation:

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