1. Tardigrade
  2. Question
  3. Mathematics
  4. Let α1, α2 and β1, β2 be the roots of ax 2+ bx + c =0 and px 2+ qx + r =0, respectively. If the system of equations α1 y+α2 z=0 β1 y+β2 z=0 has a non-trivial solution, then the value of ((b2/q2)-(a c/p r)) is

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Q. Let $\alpha_1, \alpha_2$ and $\beta_1, \beta_2$ be the roots of $ax ^2+ bx + c =0$ and $px ^2+ qx + r =0$, respectively. If the system of equations $\alpha_1 y+\alpha_2 z=0 \& \beta_1 y+\beta_2 z=0$ has a non-trivial solution, then the value of $\left(\frac{b^2}{q^2}-\frac{a c}{p r}\right)$ is

Complex Numbers and Quadratic Equations

Solution:

Correct answer is (c) 0