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## Saturday, April 2, 2011

### 10th Linear Equations in two variables MCQ

1. Graphically, the pair of equations
6x – 3y + 10 = 0
2x – y + 9 = 0  represents two lines which are
(A) intersecting at exactly one point.
(B) intersecting at exactly two points.
(C) coincident.
(D) parallel.

2. The pair of equations x + 2y + 5 = 0 and –3x – 6y + 1 = 0 have

(A) a unique solution
(B) exactly two solutions
(C) infinitely many solutions
(D) no solution

3. If a pair of linear equations is consistent, then the lines will be

(A) parallel
(B) always coincident
(C) intersecting or coincident
(D) always intersecting

4. The pair of equations y = 0 and y = –7 has

(A) one solution
(B) two solutions
(C) infinitely many solutions
(D) no solution
5. The pair of equations x = a and y = b graphically represents lines which are
(A) parallel
(B) intersecting at (b, a)
(C) coincident
(D) intersecting at (a, b)

6. For what value of k, do the equations 3x – y + 8 = 0 and 6x – ky = –16 represent
coincident lines?
(A) 1/2
(B)- 1/2
(C) 2
(D) –2

7. If the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel, then the value
of k is
(A)–5/4
(B)2/5
(C)15/4
(D)3/2
8. The value of c for which the pair of equations cx – y = 2 and 6x – 2y = 3 will have
infinitely many solutions is
(A) 3
(B) – 3
(C) –12
(D) no value
9. One equation of a pair of dependent linear equations is –5x + 7y = 2. The second
equation can be
(A) 10x + 14y + 4 = 0
(B) –10x – 14y + 4 = 0
(C) –10x + 14y + 4 = 0
(D) 10x – 14y = –4
10. A pair of linear equations which has a unique solution x = 2, y = –3 is
(A) x + y = –1           (B) 2x + 5y = –11
2x – 3y = –5                4x + 10y = –22
(C) 2x – y = 1             (D) x – 4y –14 = 0
3x + 2y = 0                  5x – y – 13 = 0
11. If x = a, y = b is the solution of the equations x – y = 2 and x + y = 4, then the values
of a and b are, respectively
(A) 3 and 5
(B) 5 and 3
(C) 3 and 1
(D) –1 and –3

12. Aruna has only Re 1 and Rs 2 coins with her. If the total number of coins that she
has is 50 and the amount of money with her is Rs 75, then the number of Re 1 and
Rs 2 coins are, respectively

(A) 35 and 15
(B) 35 and 20
(C) 15 and 35
(D) 25 and 25

13. The father’s age is six times his son’s age. Four years hence, the age of the father
will be four times his son’s age. The present ages, in years, of the son and the
father are, respectively

(A) 4 and 24 (B) 5 and 30
(C) 6 and 36 (D) 3 and 24
1. (D) 2. (D) 3. (C) 4. (D) 5. (D) 6. (C) 7. (C) 8. (D) 9. (D) 10. (D) 11. (C) 12. (D) 13. (C)

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#### 1 comment:

manoj singh said...

I want to discuss linear equation which will help students to solve these problems. An algebraic equation in which each term is a constant or the product of a constant and a single power variable known as Linear equation.Linear equations can have one or more variables.
pre algebra practice