Free Printable Cl10_LE in two variables

1.

On comparing the ratios , find out the pair of linear equation is consistent or inconsistent

2x-3y=8;

4x-6y=9

a)

Consistent

b)

Inconsistent

c)

Both

d)

None

2.

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

3.

A fraction becomes $\frac{6}{5}$ , if 1 is added to each of the numerator and denominator. However, if we subtract 5 from each, the fraction becomes $\frac{3}{2}$ . Then the fraction is :

a)

$\frac{11}{9}$

b)

$\frac{7}{9}$

c)

$\frac{9}{11}$

d)

$\frac{9}{7}$

4.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

5.

If a system of linear equations has one solution, what does this mean about the two lines?

a)

Parallel lines

b)

the same line

c)

Intersecting lines

6.

The pair of equations $x=2$ and $y=3$ graphically represents lines which are :

a)

parallel

b)

intersecting at (2, 3 )

c)

intersecting at ( 3, 2 )

d)

coincident

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.

Ganesh has to pay Rs. 482 for 19 apples and 11 guavas. If he would have exchanged the number of apples and guavas purchased, then he would have paid Rs.64 less. Find how much more amount he has to pay to purchase 1 apple than 1 guava

a)

Rs.19

b)

Rs.8

c)

Rs.11

d)

Rs.7

9.

For what values of k will the following pair of linear equations have infinitely many solutions ? $kx+3y-\left(k-3\right)=0$ and $12x+ky-k=0$

a)

$k=-4$

b)

$k=6$

c)

$k=-3$

d)

$k=2$

10.

The equations 4x + 3y – 1 = 5 and 12x + 9y = 15 represent

a)

No solution

b)

Infinite many solution

c)

Unique solution

11.

a)

Consistent : Unique solution

b)

Consistent: Many Solutions

c)

Inconsistent: No solution

d)

None of the above

12.

The equations $2x-3y+5=0$ and $6y-4x=10$ , when solved simultaneously, have :

a)

only one solution

b)

no solution

c)

only two solution

d)

infinite solution

13.

The equations 4x + 3y = 5 and 12x + 9y = 15 represent

a)

No solution

b)

Infinite many solution

c)

Unique solution

14.

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

15.

The sum of a two digit number and the number obtained by reversing the digits is 66 . If the digits of the number differ by 2 , find the number.

a)

42

b)

24

c)

Both

d)

None

Cl10_LE in two variables

Total questions: 15

Worksheet time: 17mins

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