# Graphical Questions for Linear equations in Two Variable

Question 1.
Draw the graphs of the following equations:
$2x - y - 2 = 0$
$4x + 3y - 24 = 0$
$y + 4 = 0$
Obtain the vertices of the triangle so obtained. Also, determine its area.

Question 2.
Determine graphically the vertices of the triangles, the equations of whose sides are given below:
(i) $2y - x = 8$, $5y - x = 14$ and $y - 2x = 1$
(ii) $y = x$,$y = 0$ and $3x + 3y = 10$

Question 3.
Solve the following system of linear equations graphically:
$3x + y - 11 = 0$, $x - y - 1 = 0$
Shade the region bounded by these lines and y - axis. Also, find the area of the region bounded by the these lines and y - axis.

Question 4.
Solve:
x + 2y + z = 7
x + 3z = 11
2x - 3y = 1

Question 5.
Solve graphically the pair of linear equations:
$3x - 4y + 3 = 0$ and $3x + 4y - 21 = 0$
Find the coordinates of the vertices of triangular region formed by these lines and x- axis. Also, calculate the area of this triangle.

Question 6.
Solve the following system of linear equations graphically:
$x - y = 1$
$2x + y = 8$
Shade the area bounded by these two lines and y - axis. Also, determine this area.

Question 7.
Draw the graphs of the following equations on the same graph paper.
$2x + 3y = 12$
$x - y = 1$
Find the coordinates of the vertices of the triangle formed by the two straight lines and the y- axis.

Question 8.
Draw the graphs of x - y + 1 = 0 and 3x + 2y - 12 = 0. Determine the coordinates of the vertices of the triangle formed by these lines and x- axis and shade the triangular area. Calculate the area bounded by these lines and x- axis.

Question 9.
Solve the following system of linear equations graphically and find the vertices of the triangle formed by these lines and x - axis:
$x - y - 1 = 0$ ,$x + 1 = 0$

Question 10.
Solve the following pair of equations graphically:
$3x - y = 7$, $2x + 5y + 1 = 0$

Question 11.
Draw the graph of the following pair of linear equations:
3x + 2y = 15 and 3x - 4y = -3
Also, shade the region bounded by these lines and y = 0. Write the coordinated vertices of the triangle.
Question 12.
Solve graphically the pair of linear equations:
3x - 2y + 7 = 0; 2x + 3y - 4 = 0
Question 13.
Determine the values of m and n so that the following system of linear equations have infinite number of solutions:
(2m - 1) x + 3y - 5 = 0
3x + (n - 1) y - 2 = 0
Question 14.
Solve the following system of linear equations graphically and find the vertices of the triangle formed by these lines and x - axis:
x - y - 1 = 0; x + 1 = 0

Reference Books for class 10

Given below are the links of some of the reference books for class 10 math.

You can use above books for extra knowledge and practicing different questions.

Go back to Class 10 Main Page using below links

### Practice Question

Question 1 What is $1 - \sqrt {3}$ ?
A) Non terminating repeating
B) Non terminating non repeating
C) Terminating
D) None of the above
Question 2 The volume of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is?
A) 19.4 cm3
B) 12 cm3
C) 78.6 cm3
D) 58.2 cm3
Question 3 The sum of the first three terms of an AP is 33. If the product of the first and the third term exceeds the second term by 29, the AP is ?
A) 2 ,21,11
B) 1,10,19
C) -1 ,8,17
D) 2 ,11,20

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