Question

The distance between the points A (2, -3) and B (2, 2) is​

Answer 1

I can't tell like this send the photo

Answer 2

Answer:

We have to find out the distance between the two points (a.b) and (-a,-b).

For finding the distance between two points we can use the given formula.

Distance = \sqrt{ {(x_1 - x_2)}^{2} + {(y_1 - y_2)}^{2} }=

(x

1

−x

2

)

2

+(y

1

−y

2

)

2

This formula is used to find out the distance between two points and that's why it is named as distance formula.

According to question,

\begin{gathered}x_1 = a \\ \\ x_2 = -a \\ \\ y_1 = b\\ \\ y_2 = -b\end{gathered}

x

1

=a

x

2

=−a

y

1

=b

y

2

=−b

Now,

Distance = \sqrt{ {(x_1 - x_2)}^{2} + {(y_1 - y_2)}^{2} }=

(x

1

−x

2

)

2

+(y

1

−y

2

)

2

\begin{gathered}= \sqrt{ {(a-(-a))}^{2} + {( b-(-b))}^{2} } \\ \\ = \sqrt{ {( a+a)}^{2} + { (b+b)}^{2} } \\ \\ = \sqrt{ {(2a)}^{2} + {(2b)}^{2} } \\ \\ = 2\sqrt{ a^{2}+b^{2}} \: units\end{gathered}

=

(a−(−a))

2

+(b−(−b))

2

=

(a+a)

2

+(b+b)

2

=

(2a)

2

+(2b)

2

=2

a

2

+b

2

units