Question

Fill in the blank using correct alternative.
Seg AB is parallel to Y-axis and coordinates of point A are (1,3) then co–ordinates of point B can be ........ .

पर्याय

• (3,1) 

• (5,3) 

• (3,0) 

• (1,–3)

Answer 1

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 = \[\frac{y - 3}{x - 1}\] = slope of y-axis Slope of y-axis is not defined as the denominator is 0 so, the denominator of \[\frac{y - 3}{x - 1}\]will also be 0. 
So, 

\[x - 1 = 0\]

\[ \Rightarrow x = 1\]

with \[x = 1\] here is only 1 option that (D). 
Hence, the correct answer is (1,–3) .