Question

In the given figure, LM is a line parallel to the y-axis at a distance of 3 units. What is the difference between the abscissa of the points L and M?

Answer 1

Any point on a line parallel to the $y$-axis and at a distance $a$, will have the co-ordinates $P(x,y)=(a,y).$

i.e $y$ may take any value but $x$ remains constant which is $a$.

So, the difference between the abscissae of any two points is $a-a=0.$

Here, $a=3$ units.

The ordinate of $L$ is $4⟶$ the co-ordinates are $L(3,4)$.

Similarly, the ordinate of $M$ is $-3⟶$ the co-ordinates are $M(3,-3).$

$\therefore$ The difference of the abscissae of $L$ & $M$ is $3-3=0$.

Hence, the required answer is $0$.