If origin is the mid point of the line joining of the points A(4-6) and B(a,b) the
values of ‘a’ and ‘b’ are equal to
A. a = 4 and b = 6 B. a = -4 and b = -6
C . a = -4 and b = 6 D. a = 6 and b = 4
Answers
Given :- If origin is the mid point of the line joining of the points A(4-6) and B(a,b) the values of 'a' and 'b' are equal to ?
Solution :-
we know that, if (x,y) is mid point of (a,b) and (c,d) then,
- x = (a + c)/2
- y = (b + d)/2
so, (x , y) are given as origin (0,0) .
then,
→ 0 = (4 + a)/2
→ 0 * 2 = 4 + a
→ 4 + a = 0
→ a = (-4)
and,
→ 0 = (-6 + b)/2
→ 0 * 2 = -6 + b
→ -6 + b = 0
→ b = 6
therefore, a is equal to (-4) and b is equal to 6.
Hence, Option (C) is correct answer .
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Answer:
c is correct option
Step-by-step explanation:
hope its helpful to you