Chapter - 4
(Linear Equations in two variables)
Section - A
Q.1 The point (a, a) always lies on the line
(a) y = x (b) y - axis (c) x - axis (d) x + y = 0
Q.2 The point (m, -m) always lies on the line.
(a)
X = m (b) y = -m (c) x + y = 0 (d) x = y
Q.3 If x = -2 and y = 3 is a solution of the equation 3x – 5y =
a then
value of a is
(a) 19 (b) -21 (c) -9 (d) -18
Q.4 x = 3, y = -2 is a solution of the equation.
(a) x + y = 5 (b) 3x – 2y = 11
(c) 4x – 3y = 18 (d) 3x + y = 5
Q.5 x = -5 can be written in the form of equation in two variable as
(a) x + 0.y + 5 = 0 (b)0.x + y = -5
(c) 0.x + 0.y = -5 (d) 0.x + 0.y = 5
Q.6 The linear equation 3x – 2y =
5 has
(a) a unique solution
(b) two solutions
(c) no solution
(d) infinitely many solutions.
Q.7 The equation of x-axis is
(a) x = k (b) y = 0 (c) x = 0 (d) y = k
Q.8 Any point on the y-axis is of the form
(a) (x,y) (b)(x,x) (c) (0,y) (d)(x,0)
Section - B
Q.9 Draw the graph of the equation x – 2y = 0
Q.10 The cost of a pen is four times the cost of a pencil express the statement as a linear equation in two variables.
Q.11 Write any four solutions for each of the following equations.
(a) 5x -2 = 0
(b) 3x + y = 7
Q.12 Find the value of a if (-1, 1) is a solution of the equation 3x – ay =5
Q.13 If (3,1) is a solution of the equation 3x + 2y =
k, find the value of k.
Q.14 Verify that x = 2, y = -1, is a solution of the linear equation 7x + 3y =
11
Q.15 Write one solution of each of the following equations
(a) 4x – 3y = 0
(b) 2x – y = 3
Q.16 The cost of 2 pencils is same as the cost of 5 erasers. Express the statement as a linear equation in two variables.
Section - C
Q.17 Give the geometrical representation of the equation y = 3 as an equation.
(i) In one variable
Q.18 Ramesh is driving his car with a uniform speed of 80 km/hr. Draw the time distance graph. Form the graph find the distance travelled by him in.
(i)1 & half hour (ii) 3 hours
Q.19 Draw the graph of each of the equations 2x -3y +
5 = 0 and 5x + 4y + 1 = 0 and find the coordinates of the point where the lines meet.
Q.20 Draw the graph of the equation 5x + 6y –
28 = 0 and check whether the point (2,3) lies on the line.
Q.21 The taxi fare in a city is as follows: For the first kilometer, the fare is Rs. 8 and forthe subsequent distance it is Rs. 5 per km. Taking the
distance covered as x km and total fare as Rs. y, writes a linear
equation for this information, and draw its graph.
Q.22 Write three solutions for the equation 7x – 8y =
13
Answer
Q.1 a Q.2 c Q.3 b Q.4 c Q.5 a Q.6 d
Q.7 b Q. 8 c Q.19 (-1, 1) Q.20 Yes
