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Question

The equations of the lines represented by the equation ax2+a+bxy+by2+x+y=0 are


A

ax+by+1=0,x+y=0

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B

ax+by-1=0,x+y=0

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C

ax+by+1=0,x-y=0

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D

None of these

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Solution

The correct option is A

ax+by+1=0,x+y=0


Calculate the equations of lines:

The given equation is ax2+a+bxy+by2+x+y=0.

ax2+a+bxy+by2+x+y=0axx+y+byy+x+x+y=0ax+by+1x+y=0ax+by+1=0,x+y=0

Hence, the equations of the lines are ax+by+1=0,x+y=0 and therefore option A is correct.


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