(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? - NDA Mathematics 2016 (I)

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(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?