Linear Equations in Two Variables - Set 3

Question 1

If 2x - 3y = 7 and (a + b)x - (a + b - 3)y = 4a + b have infinite solutions, (a, b) =

Accepted Answer

(-5, -1)

Answer

(-5, 1)

Answer

(5, 1)

Answer

(5, -1)

Question 2

For what value of k, do the equations 3x - y + 8 = 0 and 6x - ky = -16 represent coincident lines?

Accepted Answer

2

Answer

1/2

Answer

-1/2

Answer

-2

Question 3

Graphically, the pair of equations 6x - 3y + 10 = 0, 2x - y + 9 = 0 represents two lines which are

Accepted Answer

Parallel

Answer

Intersecting at exactly one point

Answer

Intersecting at exactly two points

Answer

Coincident

Question 4

A pair of linear equations which has a unique solution x = 2, y = -3 is

Accepted Answer

x - 4y - 14 = 0, 5x - y - 13 = 0

Answer

x + y = -1, 2x - 3y = -5

Answer

2x + 5y = -11, 4x + 10y = -22

Answer

2x - y = 1, 3x + 2y = 0

Question 5

If A: Homogeneous system of linear equations is always consistent. R: x = 0, y = 0 is always a solution of the homogeneous system of equations with unknowns x and y, then which statement is true?

Accepted Answer

A is true and R is the correct explanation of A

Answer

A is false and R is not a correct explanation of A

Answer

A is true and R is false

Answer

A is false and R is true

Question 6

The pair of equations 3x + 5y = 3 and 6x + ky = 8 have no solution if k =

Accepted Answer

10

Answer

5

Answer

-5

Answer

0

Question 7

The pair of linear equations x + 2y = 5, 7x + 3y = 13 has a unique solution

Accepted Answer

x = 1, y = 2

Answer

x = 2, y = 1

Answer

x = 3, y = 1

Answer

x = 1, y = 3

Question 8

The graphical representation of the pair of equations 2x + 4y - 15 = 0 and x + 2y - 4 = 0 gives a pair of

Accepted Answer

Parallel lines

Answer

Intersecting lines

Answer

Coincident lines

Answer

None of these

Question 9

If (6, k) is a solution of the equation 3x + y - 22 = 0, then the value of k is

Accepted Answer

4

Answer

-4

Answer

3

Answer

-3

Question 10

If x = 2 and y = 1 is a unique solution of the system x - y - 1 = 0 and x + ky - 5 = 0 then k =

Accepted Answer

3

Answer

2

Answer

1

Answer

0

Linear Equations in Two Variables - Set 3

Linear Equations in Two Variables - Set 3

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