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

=