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Question: If the middle point of the line segment joining the points (5, a) and (b, 7) be (3, 5), then (a, b)=...

If the middle point of the line segment joining the points (5, a) and (b, 7) be (3, 5), then (a, b)=

A

(3, 1)

B

(1, 3)

C

(–2, –2)

D

(–3, –1)

Answer

(3, 1)

Explanation

Solution

P is the mid point of A and B

\ 5+b2\frac{5 + b}{2}= 3 and a+72\frac{a + 7}{2} = 5

\ b = 1 and a = 3

(a, b) = (3, 1).