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Question

Area of the triangle formed by the line x+y=3 and angle bisectors of the pair of straight lines x2y2+2y=1 is

A
2 sq. units
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B
4 sq. units
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C
6sq. units
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D
8 sq. units
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Solution

The correct option is A 2 sq. units
x2y2+2y=1x=±(y1)




Bisectors of above lines are x=0 and y=1.

So area between x=0,y=1 and x+y=3 is shaded region shown in figure.
Area =12×2×2=2 sq.units.

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