NCERT Mathematics Class 9 Exemplar Ch 4 Linear Equations in Two Variables Part 5 (For CBSE, ICSE, IAS, NET, NRA 2023)

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Exercise 4.3

1. Draw the graphs of linear equations and on the same Cartesian plane. What do you observe?

Answer: Graph of each equation is a line passing through

2. Determine the point on the graph of the linear equation , whose ordinate is times its abscissa.


3. Draw the graph of the equation represented by a straight line which is parallel to the x-axis and at distance 3 units below it.

Answer: Any line parallel to x-axis and at a distance of 3 units below it is given by

4. Draw the graph of the linear equation whose solutions are represented by the points having the sum of the coordinates as 10 units.


5. Write the linear equation such that each point on its graph has an ordinate 3 times its abscissa.


6. If the point lies on the graph of , then find the value of a.


7. How many solution (s) of the equation are there on the:

(i) Number line (ii) Cartesian plane

Answer: (i) one (ii) Infinitely many solutions

8. Find the solution of the linear equation which represents a point on (i) x-axis (ii) y-axis

Answer: (i)


9. For what value of c, the linear equation has equal values of x and y for its solution.


10. Let y varies directly as x. If when , then write a linear equation. What is the value of y when ?

Answer: ;