Value of m for which quadratic equation 2x² - mx + m = 0 has equal roots, is :

1. 4

2. 8

3. -4

4. -8

Comparing equation 2x² - mx + m = 0 with ax² + bx + c = 0, we get :

a = 2, b = -m and c = m.

Given,

Equation, 2x² - mx + m = 0 has equal roots.

∴ b² - 4ac = 0

⇒ (-m)² - 4 × 2 × m = 0

⇒ m² - 8m = 0

⇒ m(m - 8) = 0

⇒ m = 0 or m - 8 = 0

⇒ m = 0 or m = 8.

m cannot be zero as then equation 2x² - mx + m = 0, will not be quadratic.

∴ m = 8.

Hence, Option 2 is the correct option.