Question

Find the locus of a variable point which is at a distance of 2 units from the y axis

Answer 1

Answer:

x=2, x= -2

Step-by-step explanation:

lets draw the graph for all point which is 2 units away from the y axis,the graph will be a straight line as drawn in the fig.

hence the locus of all such point which 2 inits away from yhe x axis is either x=2 or x=-2

Answer 2

Answer:

The locus of the variable is $\bold{y ^ 2}$ = 4(x-1)

Step-by-step explanation:

Step 1:

You have a point (x, y)

Step 2:

The distance from that to the point (2, 0) is the square root of $(x-2)^2 + y^2$

(Pythagorean Theorem)

Step 3:

The distance from the ‘Y’ axis is just the value of X.

Step 4:

Therefore the equation is

Sqrt $((x-2) ^ 2 + y ^ 2)$ = x

( x- 2)^2 + $y ^ 2$  = $X ^ 2$

$X ^ 2$– 4x + 4 + $y ^ 2$  = $X ^ 2$

$y ^ 2$ = 4x - 4

$y ^ 2$ = 4(x-1)