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NCERT Class XI Mathematics - Conic Sections - Solutions

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Question : 3 of 71
Marks: +1, -0
centre (12,14)\left(\frac{1}{2},\frac{1}{4}\right) and radius 112\frac{1}{12}
Solution:  
Here h = 12\frac{1}{2} , k = 14\frac{1}{4} and r = 112\frac{1}{12}
The equation of circle is, (xh)2+(yk)2(x - h)^2 + (y - k)^2 = r2r^2
(x+12)2+(y14)2\left(x+\frac{1}{2}\right)^2+\left(y-\frac{1}{4}\right)^2 = (112)2\left(\frac{1}{12}\right)^2x2+14x+y2+11612yx^2 + \frac{1}{4} - x + y^2 + \frac{1}{16} - \frac{1}{2} y = 1144\frac{1}{144}
144x2144x^2 + 36 – 144x + 144y2144y^2 + 9 – 72y = 1
144x2+144y2144x^2 + 144y^2 – 144x – 72y + 44 = 0
⇒ 4(36x2+36y236x^2 + 36y^2 – 36x – 18y + 11) = 0
36x2+36y236x^2 + 36y^2 – 36x – 18y + 11 = 0
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