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Question

The equation of the image of the circle x2+y2+16x–24y+183=0 by the line mirror 4x + 7y + 13 = 0

A
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C
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D
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Solution

The correct option is D
x2+y2+16x24y+183=0

Radius = 5

Centres of the other circle is the reflection of the centre of the given circle in 4x+7y+13=0.

p = (-16, -2)

centre of the other circle

(x+16)2+(y+2)2=25

x2+y2+32x+4y+235=0

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