Question

If a line segment is drawn between the points (-2,4) and (6,4) then find the coordinates of the point on the same segment which is 4 units from (-2,4).

• A. (-6,4)
• B. (2,4)
• C. Both a and b
• D. None of the above

Answer 1

The correct option is B

(2,4)

Given that a line segment is drawn between the points (-2,4) and (6,4).

$\because$ The Y-coordinates of the points are the same so the line segment is parallel to X-axis.

Let the required point be (x,4)

$\Rightarrow |x-(-2)|=4(\because$ Distance between any two points an a line parallel to x-axis $=|x_1-x_2|)$

$\Rightarrow |x+2|=4$

$\Rightarrow x+2=+4$ (or) x+2 -4

$\Rightarrow x=2$ (or)x =-6

$\therefore$ Points which are 4 units from (-2,4) are (2,4) and (-6,4)

But (-6,4) doesn't lie on the line segment joining (-2,4) and (6,4)

$\therefore$ The required point is (2,4)