Question

distance of point (4,a) from x-axis is double it's distance from y-axis then (a/2) is equal to​

Answer 1

Answer:

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Answer 2

Given,

The coordinates of the given point = (4,a)

The distance of the given point from x axis is double than the distance of the given point from y axis.

To find,

The value of (a/2).

Solution,

First of all, we have to calculate the distances of the given point from x axis and y axis.

Distance from x axis can be measured by calculating the distance of the given point from a point similar to the given point but zero as the ordinate. [ie. (4,0)]

Distance from x axis

= ✓(4-4)²+(a-0)²

= ✓(0)²+(a)²

= ✓a²

= a units

Distance from y axis can be measured by calculating the distance of the given point from a point similar to the given point but zero as the abscissa. [ie. (0,a)]

Distance from y axis

= ✓(4-0)²+(a-a)²

= ✓16+0

= ✓16

= 4 units

According to the data mentioned in the question,

a = 2×4

a = 8

Value of the given term

= a/2

= 8/2

= 4

Hence, the value of the (a/2) is 4.