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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 ........ .
Options
(3,1)
(5,3)
(3,0)
(1,–3)
Solution
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) .
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