Question

write the coordinates of point on y-axis which are at distance of 5 unit from the origin ? how many such points are there ​

Answer 1

Given : points on y axis  are at distance of 5 units from the origin.

To Find :  the coordinates of points

How many such points are there

Solution:

points on y axis

x coordinate are are zero

Let say y coordinate is a

Hence point is ( 0 , a)

Using distance formula

Distance from origin is 5

5 = √(0 - 0)² + (a - 0)²

=> 5 = √0 + a²

=> 5  = √a²

=>  5 = | a |

=> a =  ± 5

Hence two such point exist

( 0 , 5)  and ( 0 , - 5)

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