Question

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

(a) 2 sq unit

(b) 4 sq unit

(c) 6 sq unit

(d) 8 sq unit

Answer 1

Correct option: (a) 2 sq unit

Explanation:

Given, x2 - y2+ 2y = 1

=> x2 = (y - 1)2

=> x = y - 1 and x = - y + 1

From the graph, it is clear that are equation of angle bisectors

y = 1 and x = 0

.'. Area of region bounded by x + y = 3, x = 0 and y = 1 is