## Pair of Linear Equations in Two Variables

Worksheet
Class 10 - Mathematics

Fill in the blanks

1. The general form of a linear equation is ____________.

2. The graph of y = kx is a line ________ to the y-axis.

3.  The graph of y = ±kx is a line always passes through _______.

4. In a linear pair of equations has a unique pair of solutions when _________.

5. The value of k for which the system of equations kx - y = 2, 6x - 2y = 3 has a unique solution is ____________

6. The equations x -4y = 5 has ___________ solutions.

7. The pair of linear equations has infinitely many solutions is called _________ pair of equations.

8. The lines by equations  x + 2y - 30 = 0 and 2x + 4y - 66 = 0 represent __________.

9. The pair of equations x + 2y + 5 = 0 and – 3x – 6y +1 = 0 has _________ solution.

10. The father’s age is six times his son’s age. Four years hence, the age of the father will be four times his son’s age. The present ages (in year) of the son and the father are _________.

1. ax + by + c = 0
2. parallel
3. origin
4. a₁/a₂ ≠ b₁/b₂
5. ≠ 3
6. infinite many
7. dependent/consistent pair of equations.
8. parallel lines
9. no solution
10.  6 and 36