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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 - Mathematics

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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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 Concept: Coordinate Geometry Examples and Solutions.
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