Question

Segment AB is parellal to y axis co ordinates of point A (1,3) then find the co ordinate of point B

Answer 1

The coordinates of point B is (1,-3)

Step-by-step explanation:

The correct question is :

Segment AB is parallel to y axis coordinates of point A (1,3) then find the coordinate of point B   a) (3,1)  b) (5,3) c) (3,0) d) (1,-3)

Given :

AB is ║ y-axis

Coordinates of point A is (1,3)

Slope of y-axis cannot be defined as its denominator is 0 (tan 90° = 1\0)

Let's consider the coordinates of B as (x,y)

$\text{Slope of AB(m)} = \frac{\text{y}_2 - \text{y}_1}{\text{x}_2-\text{x}_1}$

$\text{Slope of AB(m)} =\frac{\text{y} - 3}{\text{x} - 1}$

Slope of AB = Slope of Y-axis whose denominator is 0 (AB ║ y-axis)

∴ x-1 = 0

    x=1

Hence from the options given (1,-3) is the coordinates of B .

To Learn More.....

1. A straight line passes through points P( - 1,4 )and Q( 5, - 2). It intersects x axis and y axis at points A and B respectively and M is the midpoint of AB.  find: 1..the equation of the line 2... the coordinates of A and B and 3....the coordinates of M

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2. The perpendicular bisector of line segment joining the points A 1,5 and B 4,6 cuts the y axis at

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