If the quadratic equation $$ax^2 - 4x + 1 = 0$$ has equal roots, then the value of a is:

Correct option is D

Given:

The quadratic equation is:

ax² - 4x + 1 = 0

It is stated that the equation has equal roots.

Concept Used:

For a quadratic equation to have equal roots, the discriminant (D) must be zero. The discriminant is given by:

D = b² - 4ac

Solution:

For the equation ax² - 4x + 1 = 0 the coefficients are:

a = a,  b = −4, c = 1

Substituting these into the discriminant formula:

D = (-4)² - 4(a)(1)

D = 16 − 4a

D = 0 (since roots are equal):

16 - 4a = 0

4a = 16 

a = 4

The value of a is 4.