Seg AB is parallel to x-axis and co-ordinate of point A are (1,3), then co-ordinate of point B can be ____?
(3,1)
(5,3)
(3,0)
(1.-3
Answers
Answer:
S same it is correct i think
The co-ordinate of point B can be (5,3)
Given :
Seg AB is parallel to x-axis and co-ordinate of point A are (1,3)
To find :
The co-ordinate of point B can be
(3,1)
(5,3)
(3,0)
(1, -3)
Solution :
Step 1 of 2 :
Find the equation of the Seg AB
The equation of x axis is y = 0
Since the Seg AB is parallel to x-axis
Let the equation of the Seg AB be
y = k - - - - - (1)
Now the co-ordinate of point A are (1,3)
So the equation y = k passes through the point (1,3)
∴ k = 3
So the equation of the Seg AB is y = 3
Step 2 of 2 :
Find the possible co-ordinate of point B
Since the equation of the Seg AB is y = 3
So the ordinate of any on the Seg AB is 3
For (3,1) the ordinate is 1
So (3,1) can not be the coordinate of the point B
For (5,3) the ordinate is 3
So (5,3) can be the coordinate of the point B
For (3,0) the ordinate is 0
So (3,0) can not be the coordinate of the point B
For (1, -3) the ordinate is - 3
So (1, -3) can not be the coordinate of the point B
So the possible co-ordinate of point B is (5,3)
Hence the correct option is (5,3)
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