Question

Set of values of α for which the point (α, α² – 2) lies inside the triangle formed by the lines x + y = 1, y = x + 1 and y = –1 is

(a) \(\left(\frac{1-\sqrt{13}}2, -1\right)\cup\left(1, \frac{-1+\sqrt{13}}2\right)\)

(b) (1, √13)

(c) (–√13,–1)

(d) None

Answer 1

Correct option is (a) \(\left(\frac{1-\sqrt{13}}2, -1\right)\cup\left(1, \frac{-1+\sqrt{13}}2\right)\)