(A, B) : A² + B² = 1 on the sets has the following relation. - Vidyadip

MCQ

{ (A, B) : A² + B² = 1} on the sets has the following relation.

A
Reflexive
✓
Symmetric
C
Reflexive and transitive
D
None

✓

Answer

Correct option: B.

Symmetric

Given {(a, b) : a² + b² = 1} on the set S.
Now a² + b² = b² + a² = 1
So, the given relation is symmetric.

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 "MCQ" from SETS→SETS — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

If $P(x_1, y_1)$ and $Q(x_2, y_2)$ are points on $2x + 3y + 1 = 0$ such that $|PA - PB|$ is maximum and $|QA - QB|$ is minimum, where $A(2,0)$ and $B(0,2)$, then value of $x_1 - y_1 + x_2 - y_2 $ is -

For $0 < \theta < \frac{\pi}{2}$, four tangents are drawn at the four points $(\pm 3 \cos \theta, \pm 2 \sin \theta)$ to the ellipse $\frac{x^2}{9}+\frac{y^2}{4}=1$. If $A(\theta)$ denotes the area of the quadrilateral formed by these four tangents, the minimum value of $A(\theta)$ is

The solution of the equation ${\cos ^2}x - 2\cos x = $ $4\sin x - \sin 2x,$ $\,(0 \le x \le \pi )$ is

If the set of natural numbers is partitioned into subsets ${S_1} = \left\{ 1 \right\},\;{S_2} = \left\{ {2,\;3} \right\},\;{S_3} = \left\{ {4,\;5,\;6} \right\}$ and so on. Then the sum of the terms in ${S_{50}}$ is

${\log _{\frac{1}{8}\cos e{c^2}\frac{\pi }{8}}}\,{\sin ^2}\frac{{3\pi }}{8}$ equals to

The vertex of a parabola is $ (2,2)$ and the co-ordinates of its two extrimities of the latus rectum are $(-2,0)$ and $ (6,0).$ The equation of the parabola is

The least value of natural number $n$ satisfying $C(n,\,5) + C(n,\,6)\,\, > C(n + 1,\,5)$ is

If $z$ is a complex number satisfying $\left|z^3+z^{-3}\right| \leq 2$, then the maximum possible value of $\left|z+z^{-1}\right|$ is

The equation of the circle with centre at $(1, -2)$ and passing through the centre of the given circle ${x^2} + {y^2} + 2y - 3 = 0$, is

If two dice are thrown simultaneously then probability that $1$ comes on first dice is