Express (x, y) / x^2+y^2=100 ., where .x, y W as a set of ordered… - Vidyadip

Question

Express $\left\{(x, y) / x^2+y^2=100\right.$, where $\left.x, y \in W\right\}$ as a set of ordered pairs.

✓

Answer

$
\left\{(x, y) / x^2+y^2=100, \text { where } x, y \in W\right\}
$
We have, $x^2+y^2=100$
When $x=0$ and $y=10$,
$
x^2+y^2=0^2+10^2=100
$
When $x=6$ andy $=8$,
$
x^2+y^2=6^2+8^2=100
$
When $x=8$ and $y=6$,
$
x^2+y^2=8^2+6^2=100
$
When $x =10$ and $y =0$,
$
x^2+y^2=10^2+0^2=100
$
$\therefore$ Set of ordered pairs $=\{(0,10),(6,8),(8,6),(10,0)\}$

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.(2 Marks)" from Sets and Relations (p-1)→Sets and Relations (p-1) — all question types→Maths (commerce) STD 11 Commerce / Arts question papers→Maharashtra Board STD 11 Commerce / Arts question papers→Maharashtra Board question paper generator→

Similar questions

Solve the following examples: : The total cost of ' $t$ ' toy cars is given by $C=5(2 t)+17$. Find the marginal cost and average cost at $\mathrm{t}=3$.

For a sequence, if $t_n=\frac{5^{n-2}}{7^{n-3}}$, verify whether the sequence is a G.P. If it is a G.P., find its first term and the common ratio.

Without expanding determinants, find the value of

(ii) $\left|\begin{array}{lll}2014 & 2017 & 1 \\ 2020 & 2023 & 1 \\ 2023 & 2026 & 1\end{array}\right|$

How many two-letter words can be formed using letters from the word SPACE when repetition of letters
(i) is allowed
(ii) is not allowed

Sketch the graph which represents the solution set for the following inequations: $-4<x<3$

A bag contains 15 balls of three different colours: Green, Black, and Yellow. A ball is drawn at random from the bag. The probability of a green ball is $1 / 3$. The probability of yellow is $1 / 5$.
How many balls are green, black, and yellow?

A salesman sold an article at a loss of $10 \%$. If the selling price has been increased by ₹ 80 , there would have been a gain of $10 \%$. What was the cost of the article?

How many numbers between 100 and 1000 have 4 in the unit’s place?

A tree increases annually by $\frac{1}{8}$ of its height. By how much will it increase after $2 \frac{1}{2}$ years. If its length today is $8 \mathrm{~m}$ ?

Simplify the following and express in the form $a+i b$ : $\left(1+\frac{2}{i}\right)\left(3+\frac{4}{i}\right)(5+i)^{-1}$