# 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

• 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.

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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.