SATHEE: Straight Line Question 205

Straight Line Question 205

Question: Area of the triangle formed by the line $ x+y=3 $ and the angle bisectors of the pairs of straight lines $ x^{2}-y^{2}+2y=1 $ is

Options:

A) 2 sq. units

B) 4 sq. units

C) 6 sq. units

D) 8 sq. units

Show Answer

Answer:

Correct Answer: A

Solution:

[a] $ x^{2}-y^{2}+2y=1 $ or $ x=\pm (y-1) $ The bisectors of the above lines are x = 0 and y = 1. So, the area between $ x=0,y=1 $ and $ x+y=3 $ is the shaded region The area is given by $ (1/2)\times 2\times 2=2 $ sq. units.

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Straight Line Question 205

Question: Area of the triangle formed by the line $ x+y=3 $ and the angle bisectors of the pairs of straight lines $ x^{2}-y^{2}+2y=1 $ is

Options:

Answer:

Solution:

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