The distance between $(2, 3)$ and $(- 4, 5)$ is ___ .

2 \sqrt{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 \sqrt{10}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

2 \sqrt{17}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\sqrt{10}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $2 \sqrt{10}$
The distance between two points $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ is given by:
$D = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$
Therefore, the distance between the points $(2, 3)$ and $(- 4, 5)$ is:
$D = \sqrt{{(- 4 - 2)}^{2} + {(5 - 3)}^{2}} = \sqrt{{(- 6)}^{2} + 2^{2}} = \sqrt{36 + 4} = \sqrt{40} = 2 \sqrt{10}$

Suggest Corrections

Similar questions

Q. The distance between ( 2, 3) and ( -4,5) is _______

Q. The distance between the points

(\frac{1}{2}, \frac{3}{2})

and

(\frac{3}{2}, \frac{- 1}{2})

Q. The distance between

(x, 3)

and

(4, 5)

2 \sqrt{5} u n i t s

then

x =

Calculate the gravitational force between 2 stars having mass $10^{25} k g$ and $5 \times 10^{30} k g$ respectively. Distance between them is $2 \times 10^{10} m$ .

Find the distance between the points (-3, -3), (4, 5). [2 MARKS]

Join BYJU'S Learning Program

The distance between (2,3) and (−4,5) is ___ .

The correct option is B 2√10The distance between two points (x1,y1) and (x2,y2) is given by:D=√(x2−x1)2+(y2−y1)2Therefore, the distance between the points (2,3) and (−4,5) is:D=√(−4−2)2+(5−3)2=√(−6)2+22=√36+4=√40=2√10

The distance between $(2, 3)$ and $(- 4, 5)$ is ___ .