Teaching UP B.Ed (Paper 1 & 2) Mock Test 2025 Mathematics Lines Sectional Formula

If (a, b) is the mid-point of the line segment joining the points A (10, -6), B (k, 4) and a - 2b = 18, find the value of k and the distance AB.

1
k = 22, AB = 2√61
2
k = 42, AB = √71
3
k = 26, AB = √81
4
k = 19, AB = 2√61
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