Question

Find the coordinates of the point on y-axis which is nearest to the point (-2,5).

Answer 1

Answer:

Let A(−2,5)

Since the required point is in y−axis, its x−coordinate will be zero

Let requrid point=B(0,a)

We need to find coordinates of point B such that distance AB is minimum

Finding AB

x

1

=−2,y

1

=5

x

2

=0,y

2

=a

AB=

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

=

(0−(−2))

2

+(a−5)

2

=

2

2

+(a−5)

2

=

(6)

2

+(a−5)

2

Now AB is last when a−5=0

i.e a=5

So coordinate of required point=(0,5