Question

The area of the circle x 2 + y 2 -10x+14y+58+0 is equal to

Answer 1

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Answer 2

The Circle having Center at the radical center of the Three given circles and radius equal to the length of the tangent from it to any one of the three circles cuts all three circles orthogonally 

Given Circles are x2+y2+2x+4y+1=0..................(1)2(x2+y2)+6x+8y−3=0..................(2)x2+y2−2x+6y−3=0..................(3)

For circles S1=0,S2=0

the radical axes is given by S1−S2=0

The radical axes of (i),(ii),(iii) are respectively 

x−25=010x