Pair of Linear Equations in Two Variables

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Question

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Question 1 :

If the system of equations 2x + 3y = 5, 4x + ky = 10 has infinitely many solutions, then k =

1. 6
2. 1
3. 1/2
4. 7
Answer
14717

Question 2 :

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

1. only one solution
2. No solution
3. infinitely many solutions
4. both a and c
Answer
14718

Question 3 :

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

1. -3
2. 3
3. 1
4. 2
Answer
14719

Question 4 :

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

1. (0, 3)
2. (-2, 0)
3. (2, 0)
4. (0, 2)
Answer
14720

Question 5 :

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

1. am ≠ Ib
2. am = Ib
3. ab = Im
4. ab ≠ Im
Answer
14721