2. Questions Bank
  3. 10th Class
  4. Mathematics
  5. Pair of Linear Equations in Two Variables

10th Class Mathematics Pair of Linear Equations in Two Variables Question Bank MCQs - Pair of Linear Equations in Two Variables

  • question_answer
    If a pair of linear equations is given by \[{{a}_{1}}x+{{b}_{1}}y+{{c}_{1}}=0\] and \[{{a}_{2}}x+{{b}_{2}}y+{{c}_{2}}=0\] and\[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{b}_{1}}}{{{b}_{2}}}\ne \frac{{{c}_{1}}}{{{c}_{2}}}\]. In this case, the pair of linear equations is consistent.

    A) True

    B) False

    C) Cannot say

    D) Partially true/false

    Correct Answer: B

    Solution :

    If \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{b}_{1}}}{{{b}_{2}}}\ne \frac{{{c}_{1}}}{{{c}_{2}}}\] This represents parallel lines and hence no solution (Inconsistent)


You need to login to perform this action.
You will be redirected in 3 sec spinner