10th : Linear Equations in two Variables

10th : Linear Equations in two Variables

 MULTIPLE CHOICE QUESTIONS

1. Every linear equation in two variables has ___ solution(s).

(a) no (b) one (c) two (d) infinitely many

2. a₁/a₂    =         b₁/b₂     ¹    c₁/c₂             is the condition for

(a) intersecting lines (b) parallel lines (c) coincident lines (d) none

3. For a pair to be inconsistent  or  independent the pair must have

 (a) no solution (b) unique solution (c) infinitely many solutions (d) none of these

 4. Graph of every linear equation in two variables represent a ___

(a) point (b) straight line (c) curve (d) triangle

5. Each point on the graph of pair of two lines is a common solution of the lines in case of ___

(a) Infinitely many solutions (b) only one solution (c) no solution (d) none of these

 6. Which of the following is the solution of the pair of linear equations x+ y = 4, x –y = 2

 (a) (4, 2) (b) (3,1) (c) (1, 0) (d) (2,4)

7. If the value of x in the equation x – y = 6 is 2 then the corresponding value of y will be

(a) –1 (b) +1 (c) 0 (d) 2

8. How many real solutions of 3x + 2y = 6 are possible

(a) no (b) one (c) two (d) infinitely many

9. The value of k for which the system of equation 3x + 2y = – 5, x – ky = 2 has a unique solutions.

 (a) K = 2/ 3 (b) K 2/3 (c) K = -2 /3 (d) K - 2/3

10. If the lines represented by the pair of linear equations 2x + 5y = 3,

 2(k + 2) y + (k + 1) x = 2k are coincident then the value of k is ____

(a) –3 (b) 3 (c) 1 (d) –2