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Question

The locus represented by the equation x2+y22x2y+2=(2x+y3)2 is

A
an ellipse
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B
a circle
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C
a pair of straight lines
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D
a hyperbola
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Solution

The correct option is C a pair of straight lines
(x1)2+(y1)2=(2x+y3)2
Comparing and making it in form of PS=e(PM)
(x1)2+(y1)2=5(2x+y35)2
Fixed point is (1,1) and
Fixed line is 2x+y3=0
But (1,1) lies on given line.
Pair of straight lines

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