Question

The set of values of \(p\) for which the roots of the equation \(3x^2+2x+p(p–1) = 0\) are of opposite sign is
1. \((–∞, 0)\)
2. \((0, ∞)\)
3. \((1, ∞)\)
4. (0, 1)

Answer 1

Correct Answer - Option 4 : (0, 1)

p(p−1) < 0, because product of roots is a negative number.

Thus p must be less than 1 and greater than 0