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11. conic sections
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Q8 of 70 Page 241

In each of the following, find the centre and radius of the circles.

x2 + y2 – 8x + 10y – 12 = 0

The equation of the given circle is x2 + y2 -8x + 10y -12 =0.


x2 + y2 -8x + 10y -12 =0


(x2 – 8x) + (y2+10y) = 12


+ – 16 – 25 = 12


(x - 4)2 + (y + 5)2 =53


(x - 4)2 + =, which is form (x-h)2 +(y-k)2 = r2, where h=4,


K= -5 and r=


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6

In each of the following, find the centre and radius of the circles.

(x + 5)2 + (y – 3)2 = 36

7

In each of the following, find the centre and radius of the circles.

x2 + y2 – 4x – 8y – 45 = 0

9

In each of the following, find the centre and radius of the circles.

2x2 + 2y2 – x = 0

10

Find the equation of the circle passing through the points (4,1) and (6,5) and whose centre is on the line 4x + y = 16.

Questions · 70
11. conic sections
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