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:

A) 2

B) 3

C) 4

D) 6

Show Answer

Answer:

Correct Answer: A

Solution:

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

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