Question

If a line segment is drawn between the points (5,-3) and (5,4) then find the coordinates of the point on the same segment which is 3 units from (5,4)

• A. (5,7)
• B. (5,1)
• C. (0,7)
• D. (0,1)

Answer 1

The correct option is B

(5,1)

Given that a line segment is drawn between the points (5,-3) and (5,4).

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

Let the required point be (5,4)

$\Rightarrow |y-4|=3(\because$ Distance between any two points on a line parallel to y-axis $=|y_1-y_2|)$

$\Rightarrow y-4=3$ (or) y-4=-3

$\Rightarrow y=7$ (or)y=1

$\therefore$ Points are (5,7) and (5,1)

But the point (5,7) doesn't lie on the linesegment.

$\therefore$ The required point (5,1)