Seg AB is parallel to Y-axis and coordinates of point A are (1,3) then co-ordinates of point B can be …….. .
(A) (3,1) (B) (5,3) (C) (3,0) (D) (1,-3)
1. Fill in the blanks using correct alternatives.
(1) Seg AB is parallel to Y-axis and coordinates of point A are (1,3) then co-ordinates of point B can be …….. .
(A) (3,1) (B) (5,3) (C) (3,0) (D) (1,-3)
Answer:-
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) .
Chapter 5. Co-ordinate Geometry – Problem set 5 (Page 122)