Question
A set is said to be convex if

Answer

(c)

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

If R is the largest equivalence relation on a set A and S is any relation on A, then:
  1. $\text{R}\subset\text{S}$
  2. $\text{S}\subset\text{R}$
  3. $\text{R = S}$
  4. None of these.
A coin is tossed 10 times. The probability of getting exactly six heads is:
  1. $\frac{512}{513}$
  2. $\frac{105}{512}$
  3. $\frac{100}{153}$
  4. $\text{ }^{10}\text{C}_6$
The length of the perpendicular drawn from the point $(4,-7,3)$ on the $y$-axis is
What is the value of  $\int_{0}^{1}\frac{\text{d}}{\text{dx}}\{\sin^{-1}(\frac{2\text{x}}{1+\text{x}^2})\}\text{dx}?$
  1. $0$
  2. $\pi$
  3. $-\pi$
  4. $\frac{\pi}{2}$
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:
  1. $\text{a}=1,\text{b}=1$
  2. $\text{a}=\cos2\theta,\text{b}=\sin2\theta$
  3. $\text{a}=\sin2\theta,\text{b}=\cos2\theta$
  4. None of these.
For the binary operation * defined on R − {1} by the rule a * b = a + b + ab for all a, b ∈ R − {1}, the inverse of a is:
  1. $-\text{a}$
  2. $-\frac{\text{a}}{\text{a}-1}$
  3. $\frac{1}{\text{a}}$
  4. $\text{a}^2$
Choose the correct answer from the given four options.
If $\text{P}(\text{A})=\frac{4}{5},$ and $\text{P}(\text{A}\cap\text{B})=\frac{7}{10},$ then $\text{P}\Big(\frac{\text{B}}{\text{A}}\Big)$ is equal to:
The value of $\hat{i} \cdot(\hat{j} \times \hat{k})+\hat{j} \cdot(\hat{i} \times \hat{k})+k \cdot(\hat{i} \times \hat{j})$ is:
If $\vec{\text{a}}.\hat{\text{i}}=\vec{\text{a}}.\big(\hat{\text{i}}+\hat{\text{j}}\big)=\vec{\text{a}}.\big(\hat{\text{i}}+\hat{\text{j}}+\hat{\text{k}}\big)=1.$then $\vec{\text{a}}=$
  1. $\vec{0}$
  2. $\hat{\text{i}}$
  3. $\hat{\text{j}}$
  4. $\hat{\text{i}}+\hat{\text{j}}+\hat{\text{k}}$
The value of $\begin{vmatrix}1&1&1\\^\text{n}\text{C}_1&^{\text{n}+2}\text{C}_1&^{\text{n}+4}\text{C}_1\\^\text{n}\text{C}_2&^{\text{n}+2}\text{C}_2&^{\text{n}+4}\text{C}_2\end{vmatrix}$ is: