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If the roots of the equation ax^(2)-4x+a...

If the roots of the equation `ax^(2)-4x+a^(2)=0` are imaginery and the sum of the roots is equal to their product then `a` is

A

`-2`

B

`4`

C

`2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
`(c )` `"Sum=Product"`
`(4)/(a)=a implies a^(2)=4`
Also `D lt 0 implies (4)^(2)-4a^(3) lt 0`
`4(4-a^(3)) lt 0`
`a=2`
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