# 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)

Get top class preparation for CBSE/Class-10 right from your home: get questions, notes, tests, video lectures and more- for all subjects of CBSE/Class-10.

## 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?

## Question

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

## 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

=

Developed by: