Pair of Linear Equations in Two Variables 19
Pair of Linear Equations in Two Variables 19
Pair of Linear Equations in Two Variables 19
7. If the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel, then the value
of k is
–5 2 15 3
(A) (B) (C) (D)
4 5 4 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
03/05/18