Question

13) Distance between the
points A(0,3) and B(3,-1)
1 poin
05
O
-5
- 7
O
3​

Answer 1

$\bf\large\green{\underbrace{ Question : }}$

Find the Distance between the points A(0,3) and B(3,-1)

$\bf\large\green{\underbrace{ Solution : }}$

★ Given points,

• A(0,3)
• B(3,-1)

★ To find,

• Distance between the two points.

★ Let,

• x1 = 0 ; y1 = 3
• x2 = 3 ; y2 = - 1

★ Formula used :

$\tt\red{ \implies AB = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} }}$

• Substitute the values.

$\sf\:\implies AB = \sqrt{ ( 3 - 0)^{2} + (-1-3)^{2} }$

$\sf\:\implies AB = \sqrt{ (2)^{2} + (-4)^{2} }$

$\sf\:\implies AB = \sqrt{ 4 + 16 }$

$\sf\:\implies AB = \sqrt{ 20 }$

$\sf\:\implies AB = 2\sqrt{5}$

$\underline{\boxed{\bf{\purple{ \therefore Distance\:between\:A(0,3) \: and \: B(3,-1) = 2\sqrt{5}.}}}}\:\orange{\bigstar}$