Class 11Mathematics2 Complex Numbers and Quadratic Equations: Quadratic EquationsSolution of quadratic equations and Nature of roots
EasyIf $x$ is real,then the minimum value of ${x^2} - 8x + 17$ is
- A$-1$
- B$0$
- C$1$
- D$2$
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If $\alpha$ and $\beta$ are the real roots of the equation $\sqrt{\frac{5x}{x-2}} + \sqrt{\frac{x-2}{5x}} = \frac{29}{10}$ and $\alpha > \beta$,then $\sqrt{\alpha^2 - 11^4 \beta^2} = $
If a polynomial $x^4+x^2+1$ is divisible by $x^2+mx+1$ and $x^2+nx+1$,then $m+n$ is equal to:
$(1)$ $2$
$(2)$ $0$
$(3)$ $3$
$(4)$ $4$
$(1)$ $2$
$(2)$ $0$
$(3)$ $3$
$(4)$ $4$
Which of the following is not a root of $f(x) = x^3 - 11x^2 + 36x - 36$?
The number of real values of $m$ such that the equation $x^2+(2m+1)x+m=0$ has equal roots is
Let $p, q, r \in \mathbb{R}$ and $r > p > 0.$ If the quadratic equation $px^2 + qx + r = 0$ has two complex roots $\alpha$ and $\beta,$ then $|\alpha| + |\beta|$ is:
DifficultAIEEE 2012
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