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Q.

If the equation 2x2+5xy+3y2+6x+7y+4=0 represents a pair of lines, then the equation of pair of lines parallel to them and passing through the point (0,1) is

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a

2x2+5xy+3y2−5x+6y=0

b

2x2+5xy+3y2+5x−6y+3=0

c

2x2+5xy+3y2−5x−6y+3=0

d

2x2+5xy+3y2+5x+6y+3=0

answer is C.

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Detailed Solution

a=2,2h=5,b=3,2g=6,2f=7,c=4a(x−x1)2+2h(x−x1)(y−y1)+b(y−y1)2=02x2+5xy+3y2−5x−6y+3=0
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If the equation 2x2+5xy+3y2+6x+7y+4=0 represents a pair of lines, then the equation of pair of lines parallel to them and passing through the point (0,1) is