Product of real roots of the equation $${t^2}{x^2} + \left| x \right| + 9 = 0$$
A.
is always positive
B.
is always negative
C.
does not exist
D.
none of these
Answer :
is always positive
Solution :
Product of real root $$ = \frac{9}{{{t^2}}} > 0,\,\forall \,t \in R$$
∴ Product of real roots is always positive.
Releted MCQ Question on Algebra >> Quadratic Equation
Releted Question 1
If $$\ell ,m,n$$ are real, $$\ell \ne m,$$ then the roots by the equation: $$\left( {\ell - m} \right){x^2} - 5\left( {\ell + m} \right)x - 2\left( {\ell - m} \right) = 0$$ are