Download objective type questions worksheet linear equations in two variables

OBJECTIVE TYPE QUESTIONS WORKSHEET
LINEAR EQUATIONS IN TWO VARIABLES
Answer the following questions:
(1) What is the equation of the line parallel to x-axis?
(2) What is the equation of the line parallel to y-axis?
(3) Which type of graph of a linear equation ax + by + c = 0 is?
(4) How many solutions of a linear equation in one variable are there?
(5) How many solutions of a linear equation in two variable are there?
(6) What is the equation of the x-axis?
(7) What is the equation of the y-axis?
(8) Without drawing the graph of the equation, find the points at which the straight line
represented by equation 4x + 5y = 30 cuts the x-axis and the y-axis.
(9) For what value of k, the point (k, -3) is a solution of 3x + 4y = 12?
(10) Write the equation of the line which is parallel to the y-axis at the distance 4 units
from the origin and on the right of the y-axis.
(11) Write the points at which the equation ax + by = c cuts the coordinate axes.
True or False: Justify your answer.
(12) The graph of the equation y = 1 is a line parallel to y-axis.
(13) A linear equation of the form ax + by = 0 always passes through the origin.
(14) A linear equation in two variables has only two solutions.
(15) (3, 0) is a solution of the equation 2x – 3y = 6.
(16) The graph of the equation 2x + 5y = 10 meets y-axis at (0, 2).
(17) The value of y is -1 for x = 2 in equation 2x – 3y = 7.
Multiple Choice Questions:
(18) The number of linear equations in x and y that can be satisfied by x = 1, y = 2 is
(are)
(a) only one (b) only two (c) infinitely many(d) none
(19) x = 1, y = 3 is a solution of the linear equation
(a) x + 2y = 9 (b) 5x + 2y = 7 (c) x + 2y = 7 (d) 5x + y = 7
(20) The graph of the linear equation y = x passes through the point
(a) (3, -3) (b) (2, 1) (c) (1, 1) (d) (-1/2, 1/2)
(21) The line on which a general point of the form (a, -a) can be assumed is
(a) x = a (b) y = -a (c) y = x (d) x + y = 0
(22) Equation of the line(s) parallel to y-axis at a distance of 1 unit from the origin is
(are)
(a) x = 1 (b) y = 1 (c) x = -1 (d) y = -1