Ch-03 Pairs of Linear Equations (10th) by KV Dwarka

The intersction point of x+y=10 and x-y=2 is

• (6,4)

• (-6,2)

• (2,3)

• (4,6)

if a₁x+b₁y+c₁=0 and a₂x+b₂y+c₂=0 are inconsistent then,

• 
• 
• 
• 

If a pair of equations is consistent then the lines will be

• always intersecting

• parallel

• always coincident

• intersecting or coincident

If a pair of equation is inconsistent ,then the lines will be

• parallel

• always coincident

• always intersecting

• both coincident and intersecting

The solution of the equations x + y = 14 and x - y = 4 is

• x = 5 and y = 9

• x = 10 and y = 4

• x = 4 and y = 10

• x = 9 and y = 5

How many solutions will this system have?

• No Solution
• Infinitely Many Solutions
• No Clue
• One solution

The equations 4x + 3y – 5 = 0 and 12x + 9y = 15 represent

• No solution

• Infinite many solution

• Unique solution

• 2 solutions

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

Is (1,10) a solution to

y=7x+5

y=x+9

• yes

• no

The pair of linear equations 3x + 5y = 3 ; 6x + ky = 8 do not have any solutions if : 

• k = 5
• k = 10
• k ≠ 10
• k ≠ 5