Pair Of Straight Lines Question 140

Question: The area bounded by the angle bisectors of the lines $ x^{2}-y^{2}+2y=1 $ and the line $ x+y=3 $ , is

[IIT Screening 2004]

Options:

2

3

4

6

Show Answer

Answer:

Correct Answer: A

Solution:

The angle bisectors of the lines given by $ x^{2}-y^{2}+2y=1 $ are $ y=1 $ , $ x=0 $ .

Therefore, required area = $ \frac{1}{2}\times 2\times 2=2 $ .



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