CBSE  /  Class 10  /  Maths  /  Pair of Linear Equations in Two Variables

  • 1. 
    Graphically, the pair of equations 6x - 3y + 10 = 0

  • Intersecting at exactly one point
  • Intersecting at two points
  • Coincident
  • Parallel

  • 2. 
    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 solutions

  • 3. 
    If a pair of linear equations is consistent, then

  • parallel
  • always coincident
  • intersecting or coincident
  • always intersecting

  • 4. 
    The pair of equations y = 0 and y = -7 has

  • one solution
  • two solutions
  • infinitely many solutions
  • no solution

  • 5. 
    The pair of equations x = a and y = b graphically represents lines which are

  • parallel
  • intersecting at (b, a)
  • coincident
  • intersecting at (a, b)

  • 6. 
    For what value of k, for the equations 3x - y + 8 = 0 and 6x - ky = -16 represents coincident lines?

  • \(\frac{1}{2}\)
  • -\(\frac{1}{2}\)
  • 2
  • -2

  • 7. 
    If the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel, then the value of k is

  • -\(\frac{5}{4}\)
  • -\(\frac{2}{5}\)
  • \(\frac{15}{4}\)
  • -\(\frac{3}{2}\)

  • 8. 
    The value of c for which the pair of equations cx - y = 2 and 6x - 2y = 3 will have infinitely many solutions is

  • 3
  • -3
  • -12
  • no value

  • 9. 
    One equation of a pair of dependent linear equation is -5x + 7y = 2. The second equation can be

  • 10x + 14y + 4 = 0
  • -10x - 14y + 4 = 0
  • -10x + 14y + 4 = 0
  • 10x - 14y = -4

  • 10. 
    A pair of linear equations which has a unique solution x = 2, y = -3 is

  • x + y = -1
    2x – 3y = -5
  • 2x + 5y = -11
    4x + 10y = -22
  • 2x – y = 1
    3x + 2y = 0
  • x – 4y – 14 = 0
    5x – y – 13 = 0
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