Cl10_LE in two variables

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

2x-3y=8;

4x-6y=9

• Consistent

• Inconsistent

• Both

• None

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

• 1/2
• −1/2
• 2
• −2

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 :

•  $\frac{11}{9}$  

•  $\frac{7}{9}$  

•  $\frac{9}{11}$  

•  $\frac{9}{7}$  

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

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

• Parallel lines
• the same line 
• Intersecting lines

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

• parallel

• intersecting at (2, 3 )

• intersecting at ( 3, 2 )

• coincident

If the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel, then the value of k is 

• –5/4
• 2/ 5 
• 15/4
• 3/2

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

• Rs.19

• Rs.8

• Rs.11

• Rs.7

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

•  $k=-4$  

•  $k=6$  

•  $k=-3$  

•  $k=2$  

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

• No  solution
• Infinite many solution
• Unique solution