Pair of Linear Equations in Two Variables Test

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Pair of Linear Equations in Two Variables Test - 5

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Weekly Quiz Competition

Question 1
1 / -0

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
Question 2
1 / -0

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
Question 3
1 / -0

If 2x – 3y = 7 and (a + b)x – (a + b – 3)y = 4a + b represent coincident lines, then a and b satisfy the equation

A
a + 5b = 0

B
5a + b = 0

C
a – 5b = 0

D
5a – b = 0
Question 4
1 / -0

Five years ago, A was thrice as old as B and ten years later, A shall be twice as old as B. What is the present age of A?

A
20

B
50

C
60

D
40
Question 5
1 / -0

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
Question 6
1 / -0

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

A
x + y = –1 2x – 3y = 12

B
2x + 5y + 4 = 0 4x + 10y + 8 = 0

C
2x – y = 1 3x + 2y = 0

D
x – 4y = 14 5x – y = 13
Question 7
1 / -0

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
Question 8
1 / -0

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

A
25 and 25

B
15 and 35

C
35 and 15

D
35 and 20
Question 9
1 / -0

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
Question 10
1 / -0

The value of c for which the pair of equation cx – y = 2 and 6x – 2y = 3 will have infinitely many solutions is

A
3

B
-3

C
-12

D
no value

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Pair of Linear Equations in Two Variables Test - 5

Result

Pair of Linear Equations in Two Variables Test - 5

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Rank

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SHARING IS CARING

Question 1

parallel

always coincident

intersecting or coincident

always intersecting

Question 2

intersecting at exactly one point

intersecting at exactly two points

coincident

parallel

Question 3

a + 5b = 0

5a + b = 0

a – 5b = 0

5a – b = 0

Question 4

20

50

60

40

Question 5

10x + 14y + 4 = 0

–10x – 14y + 4= 0

–10x + 14y + 4 = 0

10x – 14y = – 4

Question 6

x + y = –1 2x – 3y = 12

2x + 5y + 4 = 0 4x + 10y + 8 = 0

2x – y = 1 3x + 2y = 0

x – 4y = 14 5x – y = 13

Question 7

a unique solution

exactly two solutions

infinitely many solutions

no solution

Question 8

25 and 25

15 and 35

35 and 15

35 and 20

Question 9

1/2

-1/2

2

-2

Question 10

3

-3

-12

no value

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