Question

The locus of the point which is at a distance 6 units from y-axis is
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Answer 1

Answer:

point is at a distance of 6 units from y axis

as its perpendicular distance

as x axis is perpendicular to y axis

so point is at a line parallel to x axis at a distance 6 units

that is points are at x= +-6 as x coordinate can be 6 or -6

locus of point x = +-6

Answer 2

Given :

Distance = 6 units

To Find:

The locus of the point which is at a distance 6 units from y-axis

Solution:

Let our point be (x,y)

Distance of any point from y-axis = magnitude of its x coordinate

From the question we have,

Distance of any point from y-axis =6

Which implies that,

∣x∣=6

Now squaring each side we get

x²=6²

which can be re-written as

x² - 36 = 0

The locus of the point which is at a distance 6 units from y-axis is

x² - 36 = 0