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Question

If aR&bR, then the equation x2abxa2=0 has ________.


  1. Can't say

  2. One positive and one negative root

  3. Both positive

  4. Both negative


Solution

The correct option is B

One positive and one negative root


We have seen that product of the roots is =  ca 
So, the product will be =  - a2
Which is negative as aR
Since product of roots are negative, the roots have to be of opposite sign.

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