Ch 3 Pair of linear equations in two variables /PYQS /Revision series 2.0/Important questions part-1

Linear equation in two variable

The graph of every linear equation in two variables need not be a line.

If a pair of linear equations in two variables is consistent, then the lines represented by two equations are

If a pair of linear equations in two variables is consistent, then the lines represented by two equations are (a) intersecting (b) parallel (c) always coincident (d) intersecting or coincident

Every point on the graph of a linear equation in two variables does not represent a solution of the linear equation.

Any solution of the linear equation 2x+0y+9=0 in the two variables is of the form

The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement.(Take the cost of a notebook to be Rs x and that of a pen to be Rs y).

The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement. (Take the cost of a notebook to be x and that of a pen to be y).

3x-2-7,3/2x+9=1/2, y/3+(y-2)/4=5 are linear equations in one variable, because the highest power of the variable in each equation in one whereas the equations 3x^2-2x+1=0, y^2-1=8 are not linear equations, because the highest power of the variable in each equation is not one. In this chapter, we shall study linear equations in one variable only.

Given the linear equation 2x+3y 8=0 , write another linear equation in two variables such that the geometrical representation of the pair so formed is:(i) intersecting lines (ii) parallel lines (iii) coincident lines