Pair of linear equations in two variables 0 mcq with answers
Answers
Answer:
Step-by-step explanation:
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
Answers
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)
Hope it helps you....
1 . Graphically, the pair of equations 7x – y = 5; 21x – 3y = 10 represents two lines which are
(a) intersecting at one point
(b) parallel
(c) intersecting at two points
(d) coincident
Answer : B
The pair of equations 3x – 5y = 7 and – 6x + 10y = 7 have
(a) a unique solution
(b) infinitely many solutions
(c) no solution
(d) two solutions
Answer: c
If a pair of linear equations is consistent, then the lines will be
(a) always coincident
(b) parallel
(c) always intersecting
(d) intersecting or coincident
Answer: d
The pair of equations x = 0 and x = 5 has
(a) no solution
(b) unique/one solution
(c) two solutions
(d) infinitely many solutions
Answer: c
The pair of equation x = – 4 and y = – 5 graphically represents lines which are
(a) intersecting at (- 5, – 4)
(b) intersecting at (- 4, – 5)
(c) intersecting at (5, 4)
(d) intersecting at (4, 5)
Answer : B