If graph of $y = ax^2 -bx + c$ is following, then sign of $a$, $b$, $c$ are
$a < 0, b < 0, c < 0$
$a < 0, b > 0, c < 0$
$a < 0, b < 0, c > 0$
$a > 0, b > 0, c < 0$
It is obvious
Let $p$ and $q$ be two real numbers such that $p+q=$ 3 and $p^{4}+q^{4}=369$. Then $\left(\frac{1}{p}+\frac{1}{q}\right)^{-2}$ is equal to
The integer $'k'$, for which the inequality $x^{2}-2(3 k-1) x+8 k^{2}-7>0$ is valid for every $x$ in $R ,$ is
For what value of $\lambda$ the sum of the squares of the roots of ${x^2} + (2 + \lambda )\,x – \frac{1}{2}(1 + \lambda ) = 0$ is minimum
The number of real roots of the equation $\mathrm{e}^{4 \mathrm{x}}-\mathrm{e}^{3 \mathrm{x}}-4 \mathrm{e}^{2 \mathrm{x}}-\mathrm{e}^{\mathrm{x}}+1=0$ is equal to $…..$
Product of real roots of the equation ${t^2}{x^2} + |x| + \,9 = 0$
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