Question
A rope joins the points P ≡ (-10, 5) and Q ≡ (6, 9). At which point should we cut the rope to get two equal parts?
Hint:
we need to cut the rope at midpoint to get into two equal parts .Apply the midpoint formula to get the midpoint when two endpoints of the line segment are given.
The correct answer is: (- 2, 7)
ANS :- We need to cut the rope at (- 2, 7) to cut the rope into two equal parts .
Explanation :-
If two points
and 
are end points of the line segment then mid point of the line segment is (
).
Given, and are (-10,5) and (6,9) respectively .
We get midpoint of AB is () = (
) = (- 2, 7)
We need to cut the rope at (-2,7) to cut the rope into two equal parts.
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Thus, addition becomes subtraction and vice-versa when taken from left hand side to right hand side or the opposite way; and multiplication becomes division and vice-versa. Be careful, 0 is never taken in the denominator.
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