MCQ
If $\text{x}^2<-4$ then the value of x is:
  • A
    $(-2,2)$
  • B
    $(2,\infty)$
  • C
    $(-2,\infty)$
  • $\text{No solution}$

Answer

Correct option: D.
$\text{No solution}$
Given, $\text{x}^2<-4$
$\Rightarrow\text{x}^2+4<0$
Which is not possible.
So, there is no solution.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Given the universal set B = {−7, −3, −1, 0, 5, 6, 8, 9}, find: B = {x: − 4 < x < 6}
If $f(x) = {\cos ^2}x + {\sec ^2}x,$ then
The length of the latus rectum of the ellipse $\frac{{{x^2}}}{{36}} + \frac{{{y^2}}}{{49}} = 1$
If one end of the diameter is $(1, 1)$ and other end lies on the line $x + y = 3$, then locus of centre of circle is
The difference of the focal distances of any point on the hyperbola is equal to
The coefficient of the 8 th term in the expansion of $(1+x)^{10}$ is
For all positive integers n, the number n(n² − 1) is divisible by:
The inverse of the statement "If it is raining then the grass is wet":
Let $\mathrm{A}(\alpha, 0)$ and $\mathrm{B}(0, \beta)$ be the points on the line $5 x+7 y=50$. Let the point $P$ divide the line segment $A B$ internally in the ratio $7: 3$. Let $3 x-$ $25=0$ be a directrix of the ellipse $E: \frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ and the corresponding focus be $S$. If from $S$, the perpendicular on the $\mathrm{x}$-axis passes through $\mathrm{P}$, then the length of the latus rectum of $\mathrm{E}$ is equal to
Define the collections $\left\{ E _1, E _2, E _3, \ldots ..\right\}$ of ellipses and $\left\{ R _1, K _2, K _3, \ldots ..\right\}$ of rectangles as follows : $E_1: \frac{x^2}{9}+\frac{y^2}{4}=1$

$K _1$ : rectangle of largest area, with sides parallel to the axes, inscribed in $E _1$;

$E_n$ : ellipse $\frac{x^2}{a_n^2}+\frac{y^2}{b_{n}^2}=1$ of largest area inscribed in $R_{n-1}, n>1$;

$R _{ n }$ : rectangle of largest area, with sides parallel to the axes, inscribed in $E _{ n }, n >1$.

Then which of the following options is/are correct?

$(1)$ The eccentricities of $E _{18}$ and $E _{19}$ are NOT equal

$(2)$ The distance of a focus from the centre in $E_9$ is $\frac{\sqrt{5}}{32}$

$(3)$ The length of latus rectum of $E_Q$ is $\frac{1}{6}$

$(4)$ $\sum_{n=1}^N\left(\right.$ area of $\left.R_2\right)<24$, for each positive integer $N$