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 $ .