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Question
If `P(a/2,4)`is the mid-point of the line-segment joining the points A (−6, 5) and B(−2, 3), then the value of a is
Options
A. −8
B. 3
C. −4
D. 4
Solution
`P(a/2,4)`is the mid-point of the line segment joining points A (−6, 5) and B (−2, 3).
∴ Coordinates of point `P= (-6+(-2))/2,(-8/2,8/2)=(-4,)`
`P=(a/2,4)` [Given]
`therefore a/2=-4`
`rArr a=-8`
Thus, the value of a is −8.
The correct answer is A.
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