(a, 2b) is the mid-point of the line segment joining the points (10, -6) and (k, 4). If a – 2b = 7, then what is the value of k?

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NDA (Held On: 17 April 2016) Maths Previous Year paper
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Answer (Detailed Solution Below)

Option 1 : 2
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Detailed Solution

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Concept:

Let A(x1, y1) and B(x2, y2) be any two points on the X-Y plane. Suppose point C is the mid-point of the line segment AB, then the coordinates of point C is:

 .

Calculation:

Mid-point of (10, -6) and (k, 4) :

Therefore,

2b = - 1

Given, a – 2b = 7

k = 2

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