Question

10.
The distance between the point P (1, 4) and Q (4,0) is
a) 4 b) 5
c) 6
d)
$\sqrt[3]{3}$
​

Answer 1

Answer:

b) 5 is the right answer

Step-by-step explanation:

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Answer 2

The distance between the point P (1, 4) and Q (4,0) is 5 unit

Given :

The points P (1, 4) and Q (4,0)

To find :

The distance between the point P (1, 4) and Q (4,0) is

a) 4

b) 5

c) 6

d) $\sqrt[3]{3}$

Formula :

For the given two points ( x₁ , y₁) & (x₂ , y₂) the distance between the points

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

Solution :

Step 1 of 2 :

Write down the given points

Here the given points are P (1, 4) and Q (4,0)

Step 2 of 2 :

Find the distance between the points

The distance between the point P(1, 4) and Q(4,0)

$\displaystyle \sf{ = \sqrt{ {(4 - 1)}^{2} + {(0 -4 )}^{2} } \: \: unit }$

$\displaystyle \sf{ = \sqrt{ {(3)}^{2} + {(-4 )}^{2} } \: \: unit }$

$\displaystyle \sf{ = \sqrt{ 9 + 16} \: \: unit }$

$\displaystyle \sf{ = \sqrt{ 25} \: \: unit }$

$\displaystyle \sf{ = 5 \: \: unit }$

Hence the correct option is b) 5

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