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NCERT Class XI Mathematics - Conic Sections - Solutions

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Question : 6 of 71
Marks: +1, -0
(x+5)2+(y3)2(x + 5)^2 + (y – 3)^2 = 36
Solution:  
The given equation of circle is, (x+5)2+(y3)2(x + 5)^2 + (y – 3)^2 = 36
(x+5)2+(y3)2(x + 5)^2 + (y – 3)^2 = (6)2(6)^2
Comparing it with (xh)2+(yk)2(x – h)^2 + (y – k)^2 = r2r^2, we get h = –5, k = 3 and r = 6.
Thus the co-ordinates of the centre are (–5, 3) and radius is 6.
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