Which of the following is a convex set? - Vidyadip

Question

Which of the following is a convex set?

✓

Answer

(c) $\{(x, y): x \geq 2, y \leq 4\}$
Explanation: $\{(x, y): x \geq 2, y \leq 4\}$is the region between two parallel lines, so any line segment joining any two points in it lies in it. Hence, it is a convex set.

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

Explore more

More "M.C.Q (1 Marks)" from Model Paper 2→Model Paper 2 — all question types→MATHS STD 12 Science question papers→Rajasthan Board STD 12 Science question papers→Rajasthan Board question paper generator→

Similar questions

The value of c in Rolle's theorem for the function $\text{f}(\text{x})=\frac{\text{x}(\text{x}+1)}{\text{e}^{\text{x}}}$ defined on $[-1, 0]$ is:

If $\text{f(x)}=\begin{cases}\frac{1-\cos\text{x}}{\text{x}\sin\text{x}}, & \text{x}\neq 0\\\frac{1}{2} & \text{x}= 0\end{cases}$ then at x = 0, f(x) is:

Continuous and differentiable.
Differentiable but not continuous.
Continuous but not differentiable.
Neither continuous not differentiale.

$\int\limits^\infty_0\frac{1}{1+\text{e}^\text{x}}\text{dx}$ equals:

$\log2-1$
$\log2$
$\log4-1$
$-\log2$

Which of the following is not correct?

$|\text{A}|=|\text{A}^{\text{T}}|,$ where $\text{A}=[\text{a}_{\text{ij}}]_{3\times3}$
$|\text{kA}|=|\text{k}^3|,$ where $\text{A}=[\text{a}_{\text{ij}}]_{3\times3}$
If a is a skew-symmetric of odd order, then |A| = 0
$\begin{vmatrix}\text{a}&\text{c}\\\text{e}&\text{g} \end{vmatrix}+\begin{vmatrix}\text{b}&\text{c}\\\text{f}&\text{g} \end{vmatrix}+\begin{vmatrix}\text{a}&\text{d}\\\text{e}&\text{h}\end{vmatrix}+\begin{vmatrix}\text{b}&\text{d}\\\text{f}&\text{h}\end{vmatrix}$

ABCD is a parallelogram with AC and BD as diagonals. Then, $\overrightarrow{\text{AC}}-\overrightarrow{\text{BD}}=$

$4\overrightarrow{\text{AB}}$
$3\overrightarrow{\text{AB}}$
$2\overrightarrow{\text{AB}}$
$\overrightarrow{\text{AB}}$

If $\mid\text{a}\times\text{b}\mid=4$ and $\mid\text{a.b}\mid=2$ then $\mid{\text{a}}\mid^2\mid{\text{b}}\mid^2$ is equal to:

4
6
20
2

How many reflexive relations are possible in a set $A$ whose $n(A)=3$ ?

The perpendicular distance of the point P(1, 2, 3) from the line $\frac{\text{x}-6}{3}=\frac{\text{y}-7}{2}=\frac{\text{z}-7}{-2}$ is:

7
5
0
None of these

If the function $\text{f}(\text{x})=\cos|\text{x}|-2\text{ax}+\text{b}$ increases along entire number scale, then:

$\text{a}=\text{b}$
$\text{a}=\frac{1}{2}\text{b}$
$\text{a}\leq-\frac{1}{2}$
$\text{a}>-\frac{3}{2}$

If $y=\frac{\ln x}{x}$, then the value of $y^{\prime \prime}(e)$ is