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Question

Product of real roots of the equation t2x2+|x|+9=0

A
is always positive
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B
is always negative
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C
does not exist
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D
none of these
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Solution

The correct option is C does not exist
t2x2+|x|+9=0

Now t2 always 0 __(1)

and t2x2 always 0 __(2)

|x| always 0 as |ve|=+ve __(3)

a>0 __(4)

Now Adding (2), (3), (4) will always give value greater than 0 and never equal to 0.

No real root exist for the given equation.

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