Question

For CBSE students

In which did you learn Distance formula in maths​

Answer 1

Answer:

The shortest distance between any two points is the length of the straight line joining the points. We can use this to measure the distance between two points. What if we want to find the distance between two cities that are in two different countries? It is not easy to measure the distance by drawing a straight line!

Here is another way to do this –

Any point on the coordinate axes can be denoted by a pair of numbers, called the coordinates of that point. Similarly, every place in this world is denoted by a latitude and longitude, which give us the coordinates of that place. We can make use of these coordinates to compute the distance between the cities using the distance formula.

X-coordinate or abscissa: The distance between a point and y-axis.

Y-coordinate or ordinate: The distance between a point and x-axis.

Form of a point on the x-axis: (x, 0); on the y-axis:  (0, y)

A linear equation, ax + by + c = 0, (a, b ≠ zero), when represented graphically is a straight line.

The graph of y = ax2 + bx + c (a ≠ 0), is a parabola.

Distance formula

The distance between two points P(x1,x2) and Q(x2,y2) is

PQ=(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−−−√

The distance of a point P(x, y) from the origin O(0, 0) is given by

OP=(x)2+(y)2−−−−−−−−−√