Hey there! We receieved your request
Stay Tuned as we are going to contact you within 1 Hour
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-5470-145
+91 7353221155
Use Coupon: CART20 and get 20% off on all online Study Material
Complete Your Registration (Step 2 of 2 )
Sit and relax as our customer representative will contact you within 1 business day
OTP to be sent to Change
Give the geometric representations of the following equations
(a) on the number line (b) on the Cartesian plane:
(i) x = 2
(ii) y + 3 = 0
(iii) y = 3
(iv) 2x + 9 = 0
(v) 3x - 5 = 0
(i) We are given, x = 2
The representation of the solution on the number line, when given equation is treated as an equation in one variable.
The representation of the solution on the Cartesian plane, it is a line parallel to y axis passing through-the point (2, 0) is shown below
(ii) We are given, y + 3 = 0
We get, Y = – 3
The representation of the solution on the Cartesian plane, it is a line parallel to x axis passing through the point A(0, –3) is shown below
(iii) we are given. y = 3
The representation of the solution on the number line. when given equation is treated as an equation in one variable.
The representation of the solution on the Cartesian plane, it is a line parallel to x axis passing through the point (0, 3) is shown below
(iv) We are given, 2x + 9 = 0
We get, 2x = - 9
The representation of the solution on the Cartesian plane, it is a line parallel to y axis passing through the point (-9/2, 0) is shown below
(v) We are given, 3x - 5 = 0
We get, 3x = 5
The representation of the solution on the Cartesian plane, it is a line parallel to y axis passing through-the point (5, 0) is shown below
Give the geometrical representation of 2x + 13 = 0 as an equation in
(i) one variable (ii) two variables
We are given,
2x + 13 = 0
We get,
2x = -13
x = -13/2
The representation of the solution on the Cartesian plane, it is a line parallel to y axis passing through the point (-13/2, 0) is shown below.
Solve the equation 3x + 2 = x - 8, and represent the solution on
(i) the number line
(ii) the Cartesian plane.
3x + 2 = x - 8
we get,
3x - x = - 8 - 2
2x = - 10
x = - 5
The representation of the solution on the Cartesian plane, it is a line parallel to y axis passing through the point (- 5, 0) is shown below
Write the equation of the line that is parallel to x-axis and passing through the points
(i) (0, 3)
(ii) (0, - 4)
(iii) (2, – 5)
(iv) (3, 4)
(i) We are given the co-ordinates of the Cartesian plane at (0, 3).
For the equation of the line parallel to x axis, we assume the equation as a one variable equation
independent of x containing y equal to 3.
We get the equation as y = 3
(ii) We are given the co-ordinates of the Cartesian plane at (0,- 4).
Independent of x containing y equal to - 4.
We get the equation as y = - 4
(iii) We are given the co-ordinates of the Cartesian plane at (2, – 5).
independent of x containing y equal to - 5.
We get the equation as y = - 5
(iv) We are given the co-ordinates of the Cartesian plane at (3, 4).
independent of x containing y equal to 4.
We get the equation as
y = 4
Write the equation of the line that is parallel to y-axis and passing through the Points
(i) (4, 0)
(ii) (- 2, 0)
(iii) (3, 5)
(iv) (- 4, - 3)
(i) We are given the coordinates of the Cartesian plane at (4, 0)
For the equation of the line parallel to y axis, we assume the equation as a one variable equation
independent of y containing x equal to 4
(ii) We are given the coordinates of the Cartesian plane at (-2, 0)
independent of y containing x equal to - 2
(iii) We are given the coordinates of the Cartesian plane at (3, 5)
independent of y containing x equal to 3
We get the equation as y = -5
(iv) We are given the coordinates of the Cartesian plane at (- 4, -3)
independent of y containing x equal to - 4
We get the equation as y = 4
Get your questions answered by the expert for free
You will get reply from our expert in sometime.
We will notify you when Our expert answers your question. To View your Question
Chapter 13: Linear Equation in Two Variables...