Question

If a distance of the piont (4,a) from x axis is half of the distance from y axis find a

Answer 1

Answer:

Step-by-step explanation:

We know,

Distance is given as :

Finding the distance of the point ( 4 , a ) from x-axis :

The perpendicular from point ( 4 , a ) on x - axis will fall on ( 4 , 0 )

Substituting the values in the distance formula ,

=

= √a²

= a

So,

The distance of the point ( 4 , a ) from x-axis is

Similarly,

Finding the distance of the point ( 4 , a ) from y-axis :

The perpendicular from point ( 4 , a ) on y - axis will fall on ( 0 , a )

Substituting the values in the distance formula ,

=

= √4²

= 4

So,

The distance of the point ( 4 , a ) from y-axis is 4

According to question,

The distance of the point ( 4, a ) from x-axis is half the distance from y-axis, that is ,

a = 2

Hence,

The value of a is 2.