Question
Draw the graph of the following linear equations in two variables:
x + y = 4
x + y = 4
✓
Answer
We have,
x + y = 4
⇒ x = 4 - y ...(i)
Putting y = 0, we get x = 4 - 0 = 4
Putting y = 3, we get x = 4 - 3 = 1
Thus, we have the following table giving two points on the line represented by the equation x + y = 4:
Graph of the equation x + y = 4:
x + y = 4
⇒ x = 4 - y ...(i)
Putting y = 0, we get x = 4 - 0 = 4
Putting y = 3, we get x = 4 - 3 = 1
Thus, we have the following table giving two points on the line represented by the equation x + y = 4:
Graph of the equation x + y = 4:
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Draw the graph of the following linear equations in two variables:
2y = -x + 1
2y = -x + 1
Read the following statement:
An equilateral triangle is a polygon made up of three line segments out of which two line segments are equal to the third one and all its angles are 60° each. Define the terms used in this definition which you feel necessary. Are there any undefined terms in this? Can you justify that all sides and all angles are equal in a equilateral triangle.
An equilateral triangle is a polygon made up of three line segments out of which two line segments are equal to the third one and all its angles are 60° each. Define the terms used in this definition which you feel necessary. Are there any undefined terms in this? Can you justify that all sides and all angles are equal in a equilateral triangle.
Find rational numbers a and b such that:
$\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}=\text{a}+\text{b}\sqrt{6}$
→$\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}=\text{a}+\text{b}\sqrt{6}$
A circle has radius $\sqrt{2}\text{cm}.$ It is divided into two segments by a chord of length 2cm. Prove that the angle subtended by the chord at a point in major segment is 45°.
→Complete the following example using Nityasam.
$\begin{array}{c}(i)(2 a-7 b)^3=(2 a)^3+(-7 b)^3+3(2 a)(-7 b)(\_\_\_\_\_\_) \\ =\_\_\_\_\_\_+\left(-343 b^3\right)+(-42 a b)(2 a-7 b) \\ =8 a^3-\_\_\_\_\_\_\_-84 a^2 b+\_\_\_\_\_\_\end{array}$
$\begin{array}{c}(ii) 95 \times 105=(100+\_\_\_\_\_\_)\left(100-\_\_\_\_\_\_\right) \\ =(100)^2-(\_\_\_\_\_\_)^2 \\ =\_\_\_\_\_\_-\_\_\_\_\_\_\\=9975\end{array}$
→$\begin{array}{c}(i)(2 a-7 b)^3=(2 a)^3+(-7 b)^3+3(2 a)(-7 b)(\_\_\_\_\_\_) \\ =\_\_\_\_\_\_+\left(-343 b^3\right)+(-42 a b)(2 a-7 b) \\ =8 a^3-\_\_\_\_\_\_\_-84 a^2 b+\_\_\_\_\_\_\end{array}$
$\begin{array}{c}(ii) 95 \times 105=(100+\_\_\_\_\_\_)\left(100-\_\_\_\_\_\_\right) \\ =(100)^2-(\_\_\_\_\_\_)^2 \\ =\_\_\_\_\_\_-\_\_\_\_\_\_\\=9975\end{array}$
P is point on the bisector of $\angle\text{ABC}.$ if the line throught P, parallel to BA meet BC at Q, prove thatBPQ is an isosceles triangle.
→Water flows out through a circular pipe whose internal diameter is 2cm, at the rate of 6 meters per second into a cylindrical tank. The water is collected in a cylindrical vessel radius of whose base is 60cm. Find the rise in the level of water in 30 minutes?
Construct a right-angled triangle ABC whose base BC is 6cm and the sum of the hypotenuse AC and other side AB is 10cm.
Simplify the following expressions:
(x2 - x + 1)2 - (x2 + x + 1)2
(x2 - x + 1)2 - (x2 + x + 1)2
The adjacent sides of a parallelogram ABCD measure 34cm and 20cm, and the diagonal AC measures 42cm. Find the area of parallelogram.