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Let S' be the image or reflection of the...

Let S' be the image or reflection of the curve S = 0 about line mirror L = 0 Suppose P be any point on the curve S = 0 and Q be the image or reflection about the line mirror L = 0 then Q will lie on S' = 0
How to find the image or reflection of a curve ?

Let the given be S : f( x,y) = 0 and the line mirror L : `ax+by+c = 0 ` We take point P on the given curve in parametric form . Suppose Q be the image or reflection of point P about line mirror L = 0 which again contains the same parameter L et Q `-= (phi (t) , (t)),` where t is parameter . Now let `x = phi (t) and y = (t)`
Eliminating t , we get the equation of the reflected curve S'
The image of the circle `x^(2)+y^(2) = 4` in the line ` x+ y = 2` is

A

`x^(2)+y^(2)-2x-2y=0`

B

`x^(2)+y^(2)-4x-4y+6=0`

C

`x^(2)+y^(2)-2x-2y+2=0`

D

`x^(2)+y^(2)-4x-4y+4=0`

Text Solution

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The correct Answer is:
D
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