Question

segment AB is parallel to the Y- axis and co-ordinates of A are 1,3 what is the co-ordinates of point B​

Answer 1

Answer: segment AB is parallel to Y - axis . It means, slope of segment AB = tan90° = 1/0

Let assume point B = (x, y)

Now, if two point (x₁,y₁) and (x₂,y₂) are given then slope of line joining the points is given by by (y₂ - y₁)/(x₂- x₁)

So, slope of AB = (y - 3)/(x - 1)

1/0 = (y - 3)/(x -1)

x - 1 = 0 ⇒ x = 1

So, any points lies on line AB whose absissa must be 1

Answer 2

Step-by-step explanation:

Slope of y-axis will be not defined because the denominator will be 0.

Since AB is parallel to y-axis, so the slope will be same.

Let the coordinate of point B be (x, y).

Slope of AB =

= slope of y-axis

Slope of y-axis is not defined as the denominator is 0 so, the denominator of

will also be 0.

So,

with there is only 1 option that (D).

Hence, the correct answer is option D.

(2) A point lying on the right of the origin on X – axis will have positive x-coordinate and non-zero y-coordinate.

So, among the given points (2, 3) lies on the right of the origin on X – axis.

Hence, the correct answer is option (C).

(3) Let the given point be P(–3,4).

Distance of P(–3,4) from the origin O(0, 0) is

Hence, the correct answer is option (C).

(4) Slope of line will be

Hence, the correct answer is option (C).