Class 10 Mathematics: Pair of Linear Equations

This worksheet will help you practice solving pairs of linear equations in two variables using various methods and understanding their graphical representations.

Class 10CBSEMathematicsmediumPractice
Preview · 10 questions
  1. Q1. For what value of 'k' will the pair of equations 3x + 4y = 12 and (k+2)x + 8y = 10 have no solution?
    • k = 4
    • k = 2
    • k = 6
    • k = -4
  2. Q2. If a pair of linear equations is consistent, then its graph lines are either intersecting or ________.
  3. Q3. The pair of equations x = a and y = b graphically represents lines which are:
    • parallel
    • intersecting at (b,a)
    • coincident
    • intersecting at (a,b)
  4. Q4. Write the condition for which a pair of linear equations a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 has infinitely many solutions.
  5. Q5. The sum of the digits of a two-digit number is 9. If 27 is added to the number, its digits get reversed. The number is:
    • 27
    • 36
    • 45
    • 63

+ 5 more in the printable PDF.