Question

The number of points on x axis which are at a distance of 2units from (2,4) is​

Answer 1

Answer:

The are no points on x axis which are at a distance of 2 units from (2,4)

Step-by-step explanation:

(2,4) is 4 units away from the x-axis. There are no points on the x-axis that are 2 units away from (2,4). The closest is (2,0). You can have a circle with radius 2 and centered at (2,4). That will give you ALL of the points that are exactly 2 units away from (2,4). The equation of this circle is $(x - 2 {)}^{2} + (y - 4 {)}^{2} = 4$

Now you can generate an unlimited number of points that are exactly 2 units away from (2,4) by selecting a value for x or y and then solving. For example, if x=0 then y=4, so (0,4) is exactly 2 units away from (2,4).

$y = 0 \\ (x - 2 {)}^{2} + 16 = 4 \\ (x - 2 {)}^{2} = - 12$

So the circle does not intersect the x axis,