# CBSE Class 10-Mathematics: Chapter – 3 Pair of Linear Equation in Two Variables Part 5 (For CBSE, ICSE, IAS, NET, NRA 2022)

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## 1 Mark Questions

**Question 1**:

A pair of linear equation in two variables which has a common point i.e.. , which has only one solution is called a

(a) Consistent pair

(b) Inconsistent pair

(c) Dependent pair

(d) None of these

**Answer**:

(a) Consistent pair

**Question 2**:

If a pair of linear equation and represents coincident lines, then

(a)

(b)

(c)

(d) None of these

**Answer**:

**Question 3**:

The value of for which the system of equation and has infinite number of solutions is

(a)

(b)

(c)

(d)

**Answer**:

(c)

**Question 4**:

If the system of equation and has infinitely many solutions, then

(a)

(b)

(c)

(d)

**Answer**:

(b)

**Question 5**: If , then the system of equation and

(a) Has a unique solution

(b) Has no solution

(c) Has infinitely many solution

(d) May or may not have a solution

**Answer**:

(a) Has a unique solution

**Question 6**:

The graphical representation of the linear equation y – 5 = 0 is

(a) A line

(b) A point

(c) A curve

(d) None of these

**Answer**:

(a) A line

**Question 7**:

A system of simultaneous linear equations is said to be inconsistent if it has

(a) One solution

(b) Two solutions

(c) Three solutions

(d) No solution

**Answer**:

(d) No solution

**Question 8**:

The system of equation 2x + 3y – 7 = 0 and 6x + 5y – 11 = 0 has

(a) Unique solution

(b) No solution

(c) Infinitely many solutions

(d) None of these

**Answer**:

(a) Unique solution