Download App

Relations — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsRelations3 Marks
Question
The adjacent figure shows a relationship between the sets P and Q. Write this relation in:
  1. Set builder form.
  2. Roster form. What is its domain and range?
✓

Answer

  1. Set builder form of the relation from P to Q is,
$\text{R}=\{(\text{x, y}):\text{y}=\text{x}-2,\text{x}\in\text{P},\text{y}\in\text{Q}\}$
  1. Roster form of the relation from P to Q is,
R = {(5, 3), (6, 4), (7, 5)}

Domain(R) = {5, 6, 7}

Range(R) = {3, 4, 5}

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 "Solve the Following Question.(3 Marks)" from Relations→Relations — all question types→Maths STD 11 Science question papers→Maharashtra Board STD 11 Science question papers→Maharashtra Board question paper generator→

Similar questions

Solve the following equations: $\sin\theta+\sin5\theta=\sin3\theta$
→
Find the multiplicative inverse of the following complex numbers:
$4-3\text{i}$
→
A company has two departments with 42 and 60 employees respectively. Their average weekly wages are ₹ 750 and ₹ 400. The standard deviations are 8 and 10 respectively.

(i) Which department has a larger bill?

(ii) Which department has larger variability in wages?

→
Find the length of the transverse axis, length of the conjugate axis, the eccentricity, the co-ordinates of foci, equations of directrices, and the length of the latus rectum of the hyperbolae.: $\frac{x^2}{100}-\frac{y^2}{25}=1$
→
If $A=\left[\begin{array}{ll}1 & 2 \\ 3 & 5\end{array}\right], B=\left[\begin{array}{cc}0 & 4 \\ 2 & -1\end{array}\right]$

show that AB ≠ BA, but |AB| = |A| . |B|.

→
Find the sum of the following series to infinit:$\frac{1}{3}+\frac{1}{5^2}+\frac{1}{3^3}+\frac{1}{5^4}+\frac{1}{3^5}+\frac{1}{5^6}+\ ...\infty$
→
Find the equation of the ellipse in standard form if :

the length of the major axis is 10 and the distance between foci is 8.

→
If $A=\left[\begin{array}{cc}2 & -3 \\ 5 & -4 \\ -6 & 1\end{array}\right], B=\left[\begin{array}{cc}2 & 1 \\ 4 & -1 \\ -3 & 3\end{array}\right]$ and $C=\left[\begin{array}{cc}1 & 2 \\ -1 & 4 \\ -2 & 3\end{array}\right]$ then show that

i. $(A+B)^{\top}=A T+B^{\top}$

→
Evaluate the following limit:
$\lim\limits_{\text{x}\rightarrow0}\frac{\sqrt{1+\sin\text{x}}-\sqrt{1-\sin\text{x}}}{\text{x}}$
→
If $X+Y=\left[\begin{array}{cc}2 & -1 \\ 1 & 3 \\ -3 & -2\end{array}\right]$ and
$\mathrm{X}-2 \mathrm{Y}$
$=\left[\begin{array}{cc}-2 & 1 \\ 3 & -1 \\ 4 & -2\end{array}\right]$ then find $\mathrm{X}, \mathrm{Y}$.
→