Worksheet
Fill in the Blanks
1. There are _______ quadrants in the graph.
2. The graph of x=a is a straight line parallel to ________.
3. A linear equation in two variables has ____ solutions.
4. Every solution of the linear equation represents a _____ on the line.
5. The general form of linear equation in two variables is of the form_____.
6. The graph of every linear equation in two variables is a ______ line.
7. The line y=3x passes through the_______.
8. y= 0 is the equation of the ______.
9. (3,2) is a _____ of equation 3x−2y=5.
10. The graph of y=a passes through the point________.
Match The Followings
Part A Part B
A linear equation in one variable has infinite many solutions
The point (x,0) on the line x−y−1=0 is (2,3)
A linear equation in two variables has a unique solution
One solution of the equation 3x−4y+6=0 is (x,0)
The point where a line meets x− axis (1,0)
The number of lines passing through (1,2) is x− axis
The graph of linear equation 2x+5=0 is parallel to infinite
The graph of linear equation y−2=0 is parallel to y− axis
Draw Diagrams
1. Draw the graph of the equation x−2y=3.
True False
1. Every linear equation in one variable has a unique solution.
2. Every point on the line is a solution of the linear equation.
3. x=0 is the equation of the x− axis.
4. If ax=b is a linear equation, then x=ba is its solution.
5. 4x+y=0 is the equation of line passing through (3,2).
6. The graph of y=a is a straight line parallel to x− axis.
7. x=2,y=−1 is a solution of the linear equation x+2y=4.
8. 2√x−3√y−9=0 is a linear equation in one variable.
9. An equation of the type y=mx, represents a line passing through the origin.
10. The graph of the line x=b passes through the point (b,0).
Short Answers
1. If the points A(3,5) and B(1,4) lie on the graph of the line ax+by=7 then find the values of a and b.
2.
Draw the graphs of the following linear equations on the same graph paper:2x+3y=12,x−y=1
Find the area of the triangle formed by the two straight lines and the y− axis.
3. Check whether (2,1) is a solution of 2x+3y=7 or not.
4. Express 2x+3y=9.35¯¯¯¯ in the form ax+by+c=0 and indicate the values of a,b and c.
Picture Comprehension
1. Find the area of the △AOB.
2. Write the coordinates of point where given line intersects the x−axis.
3. Write the coordinates of point where the given line intersects the y−axis.
MCQS
1. How many solutions will y=13x+8 have?
A. Only two solutions
B. Infinite solutions
C. Unique solution
D. No solution
2. The graph of the linear equation 2x−y=4 cuts x -axis at
A. (2,0)
B. (−2,0)
C. (0,−4)
D. (0,4)
3. If the graph of the equation 4x+3y=12 cuts the co-ordinate axes at A and B, then hypotenuse of right triangle AOB is of length _____.
A. 4 units
B. 3 units
C. 5 units
D. 6 units
4. If the point (a,2) lies on the graph of linear equation 2x−3y+8=0, the value of 'a' is
A. −2
B. 1
C. 0
D. −1
Answers
1. There are __4_____ quadrants in the graph.
2. The graph of x=a is a straight line parallel to Y - axis
3. A linear equation in two variables has Infinite solutions.
4. Every solution of the linear equation represents a _point____ on the line.
5. The general form of linear equation in two variables is of the form_ax+by+c=0____.
6. The graph of every linear equation in two variables is a _straight_____ line.
7. The line y=3x passes through the___origin____.
8. y= 0 is the equation of the _x-axis_____.
9. (3,2) is a _solution ____ of equation 3x−2y=5.
10. The graph of y=a passes through the point__(0,a)______.
1. Every linear equation in one variable has a unique solution.
TRUE
2. Every point on the line is a solution of the linear equation.
TRUE
3. x=0 is the equation of the x− axis.
FALSE
4. If ax=b is a linear equation, then x=ba is its solution.
FALSE
5. 4x+y=0 is the equation of line passing through (3,2).
FALSE
6. The graph of y=a is a straight line parallel to x− axis.
TRUE
7. x=2,y=−1 is a solution of the linear equation x+2y=4.
FALSE
8. 2√x−3√y−9=0 is a linear equation in one variable.
FALSE
9. An equation of the type y=mx, represents a line passing through the origin. TRUE
10. The graph of the line x=b passes through the point (b,0).
TRUE
Learn More:
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