Which of the following is not a convex set? - Vidyadip

MCQ

Which of the following is not a convex set?

A
${(x, y) ; 2x + 5y \leq 7}$
B
${(x, y) : x^{_2} + y^2 \leq 4}$
✓
${x : |x| = 5}$
D
${(x, y) : 3x^2 + 2y^2 \leq 6}$

✓

Answer

Correct option: C.

${x : |x| = 5}$

$|x| = 5$ is not a convex set as any two points from negative and positive $x-$axis if are joined will not lie in 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 Linear programming→Linear programming — all question types→MATHS STD 12 Science question papers→Rajasthan Board STD 12 Science question papers→Rajasthan Board question paper generator→

Similar questions

If A and B are two events associated to a random experiment such that $\text{P}(\text{A}\cap\text{B})=\frac{7}{10}$ and $\text{P(B)}=\frac{17}{20}$, then P(A|B) =

Area of a rectangle having vertices A, B, C and D with position vectors $-\hat{i}+\frac{1}{2}\hat{j}+4\hat{k},\ \hat{i}+\frac{1}{2}\hat{j}+4\hat{k},$ $\hat{i}-\frac{1}{2}\hat{j}+4\hat{k}\ \text{and} \ -\hat{i}-\frac{1}{2}\hat{j}+4\hat{k},$

$\frac{1}{2}$
1
2
4

The angle between the straight lines $\frac{\text{x}+1}{2}=\frac{\text{y}-2}{5}=\frac{\text{z}+3}{4}$ and $\frac{\text{x}-1}{1}=\frac{\text{y}+2}{2}=\frac{\text{z}-3}{-3}$ is:

The value of $b$ for which the function $f(x)=\sin x-b x+c$ is strictly decreasing for $x \in R$ is given by

The value of $p$, so that the lines $\frac{1-x}{3}=\frac{7 y-14}{2 p}$ $=\frac{z-3}{2}$ and $\frac{7-7 x}{3 p}=\frac{y-5}{1}=\frac{6-z}{5}$ intersect at right angle, is

Let $f(x) = x^2$ and $g(x) = 2^x$. Then, the solution set of the equation fog $(x) = gof(x)$ is:

If $P(A)=\left(\frac{1}{2}\right), P(B)=0$, then the value of $P(A / B)$ will be

If $\begin{bmatrix} 1 & -\tan\theta \\ \tan\theta & 1 \end{bmatrix}\begin{bmatrix} 1 & \tan\theta \\ -\tan\theta & 1 \end{bmatrix}-1=\begin{bmatrix} \text{a} & -\text{b} \\ \text{b} & \text{a} \end{bmatrix},$ then:

$\text{a}=1,\text{b}=1$
$\text{a}=\cos2\theta,\text{b}=\sin2\theta$
$\text{a}=\sin2\theta,\text{b}=\cos2\theta$
None of these.

A die is thrown and a card is selected at random from a deck of 52 playing cards, then the probability of getting an even number on the die and a spade card is

If $A$ is an invertible matrix, then which of the following is not true: