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a square is inscribed in the circle x square plus y square - 2 X + Y - 93 is equal to zero with the sides parallel to co-ordinate Axes. the vertices are

a square is inscribed in the circle x square plus y square - 2 X + Y - 93 is equal to zero with the sides parallel to co-ordinate Axes. the vertices are

Grade:12th pass

1 Answers

Vikas TU
14149 Points
6 years ago
Dear Student,
Centre of Circle = (1,-1/2)
ย ย ย ย ย ย  Radius = โˆš94
ย ย ย ย ย ย  Slope of one diagonal of square = 1 (tan 45 )
ย ย ย ย ย ย  Slope of another diagonal = -1
ย ย ย ย ย ย  Vertex 1 = ( 1+โˆš94 cos 45 , -1/2 + โˆš94 sin 45 )
Vertex 2 = ( 1 - โˆš94 cos45 , -1/2 - โˆš94 sin45 )
Vertex 3 = ( 1 + โˆš94 cos 135, -1/2 + โˆš94 sin135 )
Vertex 4 = ( 1 - โˆš94 cos 135, -1/2 - โˆš94 sin135 )ย 
Cheers!!
Regards,
Vikas (B. Tech. 4th year
Thapar University)

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