The quadratic equation whose roots are twice the roots of $2x^2 - 5x + 2 = 0$ is :

** Option:**

**A.**$8x^2 - 10x + 2 = 0$

**B.**$x^2 - 5x + 4 = 0$

**C.**$2x^2 - 5x + 2 = 0$

**D.**None

**Answer: B . $x^2 - 5x + 4 = 0$**

** Justification:**

Let α and β be the roots of the given equation.

Then, α + β = $5/2$ and αβ = $2/2$ = 1

.`. 2α + 2β

.`. 2(α + β)

.`. 5,(2α)(2β) = 4

So, the requiared equation is :

$x^2 - 5x + 4 = 0$