Question

Area of the triangle formed by the line x + y = 3 and angle bisectors of the pair of straight lines x2 − y2 + 2y = 1 is

(A) 2 sq. units

(B) 4 sq. units

(C) 6 sq. units

(D) 8 sq. units

Answer 1

Correct option (A) 2 sq. units

Explanation:

x2 − y2 + 2y − 1 = 0

⇒ Equations of lines are y = x + 1, y = − x + 1

⇒ angle bisectors are y = 1 and x = 0

⇒ area of triangle = 1/2 x 2 x 2 x = 2sq.