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

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

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

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

3. For a pair to be consistent and dependent 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 he lines in case of ___

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

6. Which of he following is the solution of the pair of linear equations 3x – 2y = 0, 5y – x = 0

(a) (5, 1) (b) (2, 3) (c) (1, 5) (d) (0, 0)

7. One of the common solution of ax + by = c and y-axis is _____

(a) (0, c/b) (b) (0,b/c ) (c) , 0 , (c/ b ) (d) (0, c/ b)

8. If the value of x in the equation 2x – 8y = 12 is 2 then the corresponding value of y will be

(a) –1 (b) +1 (c) 0 (d) 2

9. The pair of linear equations is said to be inconsistent if they have

(a) only one solution (b) no solution (c) infinitely many solutions. (d) both a and c

10. On representing x = a and y = b graphically we get ____

(a) parallel lines (b) coincident lines (c) intersecting lines at (a, b) (d) intersecting lines at (b, a)

11. How many real solutions of 2x + 3y = 5 are possible

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

12. 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 ¹ 2/3 (c) K = -2 /3 (d) K ¹ - 2/3

13. 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

14. The coordinates of the point where x-axis and the line represented by x/2 + 4/3 = 1 intersect, are

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

15. Graphically x – 2 = 0 represents a line

(a) parallel to x-axis at a distance 2 units from x-axis.

(b) parallel to y-axis at a distance 2 units from it.

(c) parallel to x-axis at a distance 2 units from y-axis.

(d) parallel to y-axis at a distance 2 units from x-axis.

16. If ax + by = c and lx + my = n has unique solution then the relation between the coefficients will

be ____

(a) am ¹ lb (b) am = lb

(c) ab = lm (d) ab¹ lm

## 1 comment:

Very knowledgeable and descriptive blog.The linear equation can be solve by three methods.My favorite is graphical method.But there is some complex situations come when the solutions are imaginary.Can you please help me about it.

Period

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