MCQ
y < -2 involves region are, ____________?
- Aabove dotted line y = -2
- ✓below dotted line y = -2
- Cabove complete line y = -2
- Dbelow complete line y = -2
✓
Answer
Correct option: B.
below dotted line y = -2
y < -2 does not satisfy (0, 0) so, region is below y = -2.
Since only inequality sign given, so dotted line y = -2.
Since only inequality sign given, so dotted line y = -2.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
The vertex of the parabola $x^2+8 x+12 y+4=0$ is
→Match the conics in Column $I$ with the statements/expressions in Column $II$.
→| Column $I$ | Column $II$ |
| $(A)$ Circle | $(p)$ The locus of the point $(h, k)$ for which the line $h x+k y=1$ touches the circle $x^2+y^2=4$ |
| $(B)$ Parabola | $(q)$ Points $z$ in the complex plane satisfying $|z+2|-|z-2|= \pm 3$ |
| $(C)$ Ellipse | $(r)$ Points of the conic have parametric representation $x=\sqrt{3}\left(\frac{1-t^2}{1+t^2}\right), y=\frac{2 t}{1+t^2}$ |
| $(D)$ Hyperbola | $(s)$ The eccentricity of the conic lies in the interval $1 \leq x<\infty$ |
| $(t)$ Points $z$ in the complex plane satisfying $\operatorname{Re}(z+1)^2=|z|^2+1$ |
Let
→$S _1=\{( i , j , k ): i , j , k \in\{1,2, \ldots, 10\}\}$
$S _2=\{( i , j ): 1 \leq i < j +2 \leq 10, i , j \in\{1,2, \ldots, 10\}\},$
$S _3=\{( i , j , k , l): 1 \leq i < j < k < l, i , j , k , l \in\{1,2, \ldots ., 10\}\}$
$S _4=\{( i , j , k , l): i , j , k$ and $l$ are distinct elements in $\{1,2, \ldots, 10\}\}$
and If the total number of elements in the set $S _t$ is $n _z, r =1,2,3,4$, then which of the following statements is (are) TRUE?
$(A)$ $n _1=1000$ $(B)$ $n _2=44$ $(C)$ $n _3=220$ $(D)$ $\frac{ n _4}{12}=420$
$\mathop {\lim }\limits_{x \to \infty } {\left( {\frac{{x + 2}}{{x + 1}}} \right)^{x + 3}}$ is
→If two sets $A$ and $B$ have $99$ elements in common, then the number of elements common to the sets $A \times B$ and $B \times A$ is equal to
→If $\operatorname{gcd}( m , n )=1$ and $1^2-2^2+3^2-4^2+\ldots \ldots$ $+(2021)^2-(2022)^2+(2023)^2=1012 m ^2 n$, then $m ^2- n ^2$ is equal to
→Choose the correct answer. If $|\text{x}+2|\leq9,$ then:
→The orthocentre of the triangle with vertices $\left( {2,\,\frac{{\sqrt 3 - 1}}{2}} \right)$, $\left( {\frac{1}{2},\, - \frac{1}{2}} \right)$ and $\left( {2,\, - \frac{1}{2}} \right)$ is
→If ${C_0},{C_1},{C_2},.......,{C_n}$ are the binomial coefficients, then $2.{C_1} + {2^3}.{C_3} + {2^5}.{C_5} + ....$ equals
→The relation between a, b, a’ and b’ such that the two lines ax + by = c and a’x + b’y = c’ are perpendicular is: