Pair of Linear Equationns in Two Vaiables

 MCQs

1. Assertion : x + 2y - 30 = 0, 2x + 4y - 66 = 0 equations are inconsistent equations.
    Reason : a₁x + b₁y + c₁ = 0, a₂x + b₂y + c₂ = 0 represent parallel lines if  ( a₁/a₂)  = ( b₁/b₂ ) ≠ ( c₁/c₂ )
    A) Both Assertion and Reason are true. Reason is supporting the Assertion.
    B) Both Assertion and Reason are true. Reason does not support the Assertion.
    C) Assertion is true. Reason is False
    D) Assertion is False. Reason is True

If the sum of two numbers is 14 and their difference is 10, find the product of these two numbers. [UPSSC LS(P) 2016]

  1. 18 
  2. 20 
  3. 22 
  4. 24

 SAQs & LAQs

1.Solve 2x-3y =12, x+3y =6.

2.Check whether the equations 2x + 3y = 1, 3x - y = 7 have a unique solution, infinitely many solutions
or no solution 

3.For what positive value of ‘p’, the following pair of linear equations have infinitely many solutions.
            px + 3 y - (p - 3) = 0
            12x + py - p = 0

4.. The value of ‘p’ for which the system of equations px – y = 5 and 6x – 2y = 3 has a unique solution is
         A) ≠ 3 B) = 3 C) ≠ 0 D) = 0 

5.Anil takes 6 days less than the time taken by Varun to finish a piece of work. If both Anil and Varun together can finish that work in 4 days, find the time taken by Varun to finish the work independently.

6. ''The cost of 2 pens and 5 pencils is Rs. 20''. Express this data as a linear
equation.  SCERT MP 2022

 


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