1) The equation 4x-10y=14 has: a) A unique solution b) Two solutions c) Infinetely many solutions d) No solution 2) Find the number of solutions of the following pair of linear equations. x + 2y – 8 = 0 and 2x + 4y = 16: a) 0 b) 1 c) 2 d) Infinite 3) If (2, 0) is a solution of the linear equation 2x +3y = k, then the value of k is: a) 4 b) 6 c) 5 d) 2 4) The graph of the linear equation 2x +3y = 6 cuts the y-axis at the point: a) (2, 0) b) (0, 3) c) (3, 0) d) (0, 2) 5) Any point on the line y = x is of the form: a) (a, –a) b) (0, a) c) (a, 0) d) (a,a) 6) The graph of x = 5 is a line: a) Parallel to x-axis at a distance 5 units from the origin b) Parallel to y-axis at a distance 5 units from the origin c) Making an intercept 5 on the x-axis d) Making an intercept 5 on the y-axis 7) x = 9, y = 4 is a solution of the linear equation: a) 2x + y = 17 b) x + y = 17 c) x + 2y = 17 d) 3x – 2y = 17 8) Any point on the x-axis is of the form: a) (0, y) b) (x, 0) c) (x, x) d) (x, y) 9) If a linear equation has solutions (–3, 3), (0, 0) and (3, –3), then it is of the form: a) y – x = 0 b) x + y = 0 c) –2x + y = 0 d) –x + 2y = 0 10) The positive solutions of the equation ax + by + c = 0 always lie in the: a) 1st quadrant b) 2nd quadrant c) 3rd quadrant d) 4th quadrant 11) Find the value of k for which the system 3x + 5y =0 and kx+10y=0 has non zero solution a) 3 b) 4 c) 5 d) 6

Pair of Linear equations in 2 variables

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