Question

1.The point nearest to (0,0) is
A) (3, 4)
B) (1, 2)
C) (-1, 1)
D) (0, 1)
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Answer 1

Answer:

option-D

Step-by-step explanation:

Hope you understand

Answer 2

Given:

Point (0,0)

To Find:

The point nearest to (0,0)

Solution:

• Here we have to find the point which is nearest to the point (0,0).

• For that we will find the distance of each point and compare them, the point having the shortest distance from the given point is the nearest point.

• To find the distance between two points we will use the formula, The distance between two points

              =√($x_{2} - x_{1}$)²+($y_{2} - y_{1}$)²

       Where ($x_{1} , x_{2}$) are the x coordinates and ($y_{1} , y_{2}$) are the y coordinates.

According to the question

A) (3,4)

So the distance of this point from (0,0)

= √(3-0)²+(4-0)²

=√9+16

=√25

=5

B) (1,2)

So the distance of this point from (0,0)

=√(1-0)²+(2-0)²

=√1+4

=√5

=2.23

C) (-1,1)

So the distance of this point from (0,0)

=√(-1-0)²+(1-0)²

=√1+1

=√2

=1.73

D) (0,1)

So the distance of this point from (0,0)

=√(0-0)²+(1-0)²

=√1

=1

So, we can see that the shortest distance is 1.

Hence, the point nearest to (0,0) is (0,1). Option (D)