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

Match the column:

1. \[2x+5y=10\] \[3x+4y=7\] A. Unique solution

2. \[2x+5y=10\] \[6x+15y=20\] B. Infinitely many solutions

3. \[5x+2y=10\] \[10x+4y=20\] C. No common solution

A) 1-A, 2-B, 3-C

B) 1-B, 2-C, 3-A

C) 1-C, 2-B, 3-A

D) 1-A, 2-C, 3-B

Correct Answer: D

Solution :

[d] (1) \[\frac{2}{3}\ne \frac{5}{4}\] \[\therefore \] unique solution.

(2) \[\frac{2}{6}=\frac{5}{15}\ne \frac{10}{20}\] \[\therefore \] no solution.

(3) \[\frac{5}{10}=\frac{2}{4}=\frac{10}{20}\] \[\therefore \]infinite many solutions.