Question
Let $A=\{a, b, c\}$ and let $R=\{(a, a),(a, b)$, $(b, a)\}$. Then, $R$ is

Answer

(c) : $R$ is symmetric and transitive but not reflexive.

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

The Convex Polygon Theorem states that the optimum (maximum or minimum) solution of a LPP is attained at atleastone of the ______ of the convex set over which the solution is feasible.
  1. Origin
  2. Corner points
  3. Centre
  4. Edge
By graphical method, the solution of linear programming problem
Maximize $Z = 3x_1 + 5x_2$
Subject to
$3x_1 + 2x_2 \leq 18$
$x_1 \leq 4$
$x_2 \leq 6$
$x_1 \geq 0, x_2 \geq 0,$ is:
Which of the following differential equations has $\text{y} = \text{c}_1\text{e}^\text{x} + \text{c}_2\text{e}^{-\text{x}}$ as the general solution?
  1. $\frac{\text{d}^2\text{y}}{\text{dx}^2}+\text{y}=0$
  2. $\frac{\text{d}^2\text{y}}{\text{dx}^2}-\text{y}=0$
  3. $\frac{\text{d}^2\text{y}}{\text{dx}^2}+1=0$
  4. $\frac{\text{d}^2\text{y}}{\text{dx}^2}-1=0$
In linear programming, objective function and objective constraints are:
Choose the correct answer from the given four options. The maximum number of equivalence relations on the set $A = \{1, 2, 3\}$ are:
Mark the correct alternative in the following question:The probability of guessing correctly at least 8 out of 10 answers of a true false type examination is:
  1. $\frac{7}{64}$
  2. $\frac{7}{128}$
  3. $\frac{45}{1024}$
  4. $\frac{7}{41}$
Choose the correct answer in Exercise:
$\int\text{e}^\text{x}\sec\text{x}(1+\tan\text{x})\text{dx}$ equals
  1. $\text{e}^\text{x}\cos\text{x}+\text{C}$
  2. $\text{e}^\text{x}\sec\text{x}+\text{C}$
  3. $\text{e}^\text{x}\sin\text{x}+\text{C}$
  4. $\text{e}^\text{x}\tan\text{x}+\text{C}$
The system of vectors i, j, k is:
  1. Orthogonal
  2. Collinear
  3. Coplana
  4. None of these
The area of the region bounded by the curves $= xe^x, y = xe^{−x}$ and the line $x=1$ is:
The differential equation $\text{x}\frac{\text{dy}}{\text{dx}}-\text{y}=\text{x}^{2}$ has the general solution: