Question

If tanα, tanβ, tanγ are the roots of x³ – px² – r = 0, then the value of (1 + tan²α)(1 + tan²β) (1 + tan²γ) is equal to

(a) (p – r)²

(b) 1 + (p – r)²

(c) 1 – (p – r)²

(d) None of these

Answer 1

Correct option is (b) 1 + (p – r)²