Point P (a/8, 4) is the mid-point of the line segment joining the points A(–5, 2) and B(4, 6). The value of ‘a’

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Solution

Q.
Point P (a/8, 4) is the mid-point of the line segment joining the points A(–5, 2) and B(4, 6). The value of ‘a’ is:

1 –4

2 4

3 –8

4 –2

Ans.
(1)

Since P(a/8, 4) is the mid-point of the line segment joining points A(–5, 2) and B(4, 6),

$\frac{a}{8} = \frac{- 5 + 4}{2} \Rightarrow \frac{a}{8} = \frac{- 1}{2} \Rightarrow a = \frac{- 8}{2} \Rightarrow a = - 4$

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