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Q.

The equation to the pair of lines joining the origin to the points of intersection of y = x+3 and 2x2+2y2=1 is

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a

12(x2+y2)=(x−y)2

b

6(x2+y2)=(x−y)2

c

18(x2+y2)=(x−y)2

d

2(x2+y2)=(x−y)2

answer is C.

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Detailed Solution

x−y−3=1⇒apply homogenization2x2+2y2=y−x32 18(x2+y2)=(x−y)2
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The equation to the pair of lines joining the origin to the points of intersection of y = x+3 and 2x2+2y2=1 is