# NCERT Class 10 Chapter 6 Pair of Linear Equations in Two Variables Official CBSE Board Sample Problems Short Answer (For CBSE, ICSE, IAS, NET, NRA 2022)

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## Question

**Write the nature of the graph of the equations** **and**.

### Solution

=

So given system has no solution. Hence the graph of given equation is parallel.

## Question

**Write the equation of a line which is parallel to the line whose equation is**

### Solution

A line parallel to

(Change is required in the constant term only)

## Question

**For what value of k will the equations** **and** **represent intersecting lines?**

### Solution

## Question

**For what value of ‘k’ will the following system of equations have infinitely many solutions?**

### Solution

## Question

**Find the value of k, for which the system of equation** **and** , **has infinitely many solutions**.

### Solution

Given, the system of equations has infinitely many solutions

=