The value of a for which one of the roots of  is double of one of the roots of  is Option 1) 0, 2 Option 2) 0, -2 Option 3) 2, -2 Option 4) None of these

As learnt in

Roots of Quadratic Equation with real Coefficients -

are roots if

is satisfied by

- wherein

and,

Let first root be  , second root =

Thus

i.e.,

and,

Thus,

Option 1)

0, 2

This option is incorrect.

Option 2)

0, -2

This option is correct.

Option 3)

2, -2

This option is incorrect.

Option 4)

None of these

This option is incorrect.