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RD Chapter 13- Linear Equations in Two Variables Ex-13.4 Interview Questions Answers

Question 1 :
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

Answer 1 :

(i) x = 2
The representation of equation on the number line:
 
The representation of equation on the Cartesian plane:
(ii) y + 3 = 0
or y = -3
The representation of equation on the number line:
 
The representation of equation on the Cartesian plane:
(iii) y = 3
The representation of equation on the number line:
 
The representation of equation on the Cartesian plane:
(iv) 2x + 9 = 0
or x = -9/2
The representation of equation on the number line:
 
The representation of equation on the Cartesian plane:
(v) 3x – 5 = 0
or x = 5/3
The representation of equation on the number line:
 
The representation of equation on the Cartesian plane:

Question 2 :
Give the geometrical representation of 2x + 13 = 0 as an equation in
(i) one variable (ii) two variables

Answer 2 :

2x + 13 = 0
(i) Isolate given equation in x
Subtract 13 from both the sides
2x + 13 – 13 = 0 – 13
2x = -13
Divide each side by 2
x = -13/2 = -6.5
Which is an equation in one variable.
 
(ii) 2x + 13 = 0 can be written as 2x + 0y + 13 = 0
The representation of the solution on the Cartesian plane: A line parallel to y axis passing through the point (-13/2 , 0):


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RD Chapter 13- Linear Equations in Two Variables Ex-13.4 Contributors

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