CLASS X_CHAPTER 3_PAIR OF LINEAR EQUATIONS_QUIZ 1

The given pair of linear equations in non-intersecting. Which of the following statements is true

• a1/a2=  b1/b2=  c1/c2

• a1/a2=  b1/b2≠  c1/c2

• a1/a2≠  b1/b2=  c1/c2  

• a1/a2≠  b1/b2≠  c1/c2

Tags

CCSS.8.EE.C.8B

Graphically, the pair of equations given by

             6x – 3y + 10 = 0 and 2x – y + 9 = 0

     represents two lines which are

• Intersecting at exactly one point

• Parallel

• Coincident

• Intersecting at exactly two points

Tags

CCSS.8.EE.C.8B

The pair of linear equations 2x = 5y + 6 and 15y = 6x – 18 represents    

    two lines which are

• Intersecting

• parallel

• coincident   

• either intersecting or parallel

Tags

CCSS.8.EE.C.8B

The pair of equations

     ax + 2y = 9 and 3x + by = 18

     represent parallel lines, where a, b are integers, if :

• a = b

• 3a = 2b 

• 2a = 3b

• ab = 6

Tags

CCSS.8.EE.C.8B

The point of intersection of the line represented by

    3x – y = 3 and y-axis is given by:

• (0, -3) 

• (0, 3)

• (2, 0)

• (-2, 0)

Tags

CCSS.HSF-IF.C.7A

If the system of equations

    3x + y = 1 and (2k – 1)x + (k – 1)y = 2k + 1

    is inconsistent, then k =

• -1

• 0

• 1

• 2

Tags

CCSS.8.EE.C.8B

The condition for the system of linear equations ax + by = c; lx +my = n

     to have a unique solution is

• am ≠  bl

• al ≠ bm

• al = bm

• am = bl

Tags

CCSS.8.EE.C.8B

The pair of equations y = 0 and y = -7 has:

• One solution        

• Two solutions   

• Infinitely many solutions  

• No solution

Tags

CCSS.8.EE.C.8B

The value of k for which the pair of equations

    kx = y + 2 and 6x = 2y + 3

    has infinitely many solutions

• is k = 3

• does not exist

• is k = -3

• is k = 4

Tags

CCSS.8.EE.C.8B

The pair of linear equations  

       x + 2y + 5 = 0 and – 3x – 6y + 1 = 0 has:

• a unique solution

• exactly two solutions

• infinitely many solutions

• no solution

Tags

CCSS.8.EE.C.8B