Login/Sign Up
Home »  Find the distance between the following pairs of points:
 Find the distance between the following pairs of points:
CBSE | Class 10 | Coordinate Geometry | Maths | NCERT
 Find the distance between the following pairs of points:

(i) (2, 3), (4, 1)

(ii) (-5, 7), (-1, 3)

Solutions:

The distance formula, say d, is used to calculate the distance between two points (x1, y1) and (x2, y2),

d=\sqrt{{{\left( {{x}_{2}}-{{x}_{1}} \right)}^{2}}+{{\left( {{y}_{2}}-{{y}_{1}} \right)}^{2}}}OR d=\sqrt{{{\left( {{x}_{1}}-{{x}_{2}} \right)}^{2}}+{{\left( {{y}_{1}}-{{y}_{2}} \right)}^{2}}}

(i) Distance between (2, 3), (4, 1)

d=\sqrt{{{\left( 4-2 \right)}^{2}}+{{\left( 1-3 \right)}^{2}}}=\sqrt{{{\left( 2 \right)}^{2}}+{{\left( -2 \right)}^{2}}}=\sqrt{8}=2\sqrt{2}

(ii) Distance between (2, 3), (4, 1)

d=\sqrt{{{\left( -1+5 \right)}^{2}}+{{\left( 3-7 \right)}^{2}}}=\sqrt{{{\left( 4 \right)}^{2}}+{{\left( -4 \right)}^{2}}}=\sqrt{32}=4\sqrt{2}

i

More Material