If the quadratic equation kx² + kx + 1 = 0 has real and equal roots, the value of k is :

1. 0

2. 4

3. 0 and 4

4. 0 or 4

Comparing equation kx² + kx + 1 = 0, with ax² + bx + c = 0 , we get :

a = k, b = k and c = 1.

Since, quadratic equation has real and equal roots.

∴ D = 0

∴ b² - 4ac = 0

⇒ k² - 4 × k × 1 = 0

⇒ k² - 4k = 0

⇒ k(k - 4) = 0

⇒ k = 0 or k = 4.

Hence, Option 4 is the correct option.