Download App

Relations — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsRelations2 Marks
Question
Let R be a relation from N to N defined by $\text{R}=\{(\text{a, b}):\text{a, b}\in\text{N and a}=\text{b}^2\}.$ Are the following statement true?
$(\text{a, b}):\text{R }\text{for all a}\in\text{N}$
✓

Answer

We have,
$\text{R}=\{(\text{a, b}):\text{a, b}\in\text{N and a}=\text{b}^2\}$
This statement is not true because $(5,5)\notin\text{R}$

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 "2 Marks Questions" from Relations→Relations — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

Find the equation of the parabola that satisfies the given conditions: Focus $(6, 0)$ directrix $x = -6$
→
Find the coordinates of the centre and radius of each of the following circles:
$2\text{x}^2+2\text{y}^2-3\text{x}+5\text{y}=7$
→
Find the equation of the parabola that satisfies the given conditions: Vertex $(0, 0)$ Focus $(3, 0)$
→
Evaluate the following:
$\text{i}^{49}+\text{i}^{68}+\text{i}^{89}+\text{i}^{110}$
→
Which term in the expansion of $\Bigg\{\Big(\frac{\text{x}}{\sqrt{\text{y}}}\Big)^\frac{1}{3}+\bigg(\frac{\text{y}}{\text{x}^\frac{1}{3}}\bigg)^\frac{1}{2}\Bigg\}^{21}$ contains x and y to one and the same power?
→
A company manufactures cassettes. Its cost and revenue functions are C(x) = 26,000 + 30x and R(x) = 43x, respectively, where x is the number of cassettes produced and sold in a week. How many cassettes must be sold by the company to realise some profit?
→
Find the coefficient of:
x in the expansion of $(1-2\text{x}^3+3\text{x}^5)\Big(1+\frac{1}{\text{x}}\Big)^8.$
→
Find the total number of ways in which $20$ balls can be put into $5$ boxes so that first box contains just one ball.
→
Find the values of other five trigonometric functions: $\begin{equation} \sec x=\frac{13}{5} \end{equation}$, x lies in fourth quadrant.
→
Solve the following system of equations in R.
$3\text{x}-1\geq5, \ \text{x}+2>-1$
→