J P Mohindru and Bharat Mohindru Solutions for Chapter: Pair of Linear Equations in Two Variables, Exercise 2: EXERCISE

Determine the value of $k$ for the following system of linear equations that have unique solutions.

$2x+3y-5=0$

$kx-6y-8=0$

Determine the value of $k$ for the following system of linear equations that have unique solutions.

$kx+2y=5$

$3x+y=1$

Find the condition for the following system of linear equations that will have unique solutions.

$ax+by=c, lx+my=n$

Solve the following system of linear equations graphically:

$2x-y=4$

$3y-x=3$

Find the points where the lines meet the axis of $y$. Also, find the area of the triangular region bounded by these lines and $x-$axis.

Solve the following system of equation graphically:

$3x-y=3$

$x-2y=4$

Shade the area of the region bounded by the lines and $x-$axis. Also, find the area of the shaded region.

Determine graphically the vertices of a square bounded by four lines whose equations are given by:

$x=2, y=2$

$x=0, y=0$

Also, find its area.

Find graphically the vertices of a parallelogram bounded by the lines whose equations are:

$x=2, x=4, y=x-2$ and $x=y-1$.

Also, find its area.

Find graphically the vertices of a quadrilateral bounded by the lines whose equations are: 

$y=0, y=2, 2x+y=10$ and $y=x$.

Also, find its area.