Correct Option: B

The roots of quadratic equation ax²+ bx + c = 0 will be equal
if b² – 4ac = 0
Option (1),
3x² – 6x + 2 = 0
a = 3, b = –6, c = 2
∴  b² – 4ac = (–6)² – 4 × 3 × 2
= 36 – 24 = 12 ≠ 0
Option (2),
3x² – 6x + 3 = 0
a = 3, b = –6, c = 3
∴  b² – 4ac = (–6)² – 4 × 3 × 3
= 36 – 36 = 0
Option (3),
x² – 8x + 8 = 0
∴  b² – 4ac = (–8)² – 4 × 8
= 64 – 32 = 32 ≠ 0
Option (4),
4x² – 8x + 2 = 0
∴  b² – 4ac = (–8)² – 4 × 4 × 2
= 64 – 32
= 32 ≠ 0