The value of K is -2 if (2,k) is equidistant from A and B, after applying the distance formula.
It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
P is the point (2,k)
PA = PB
PA = √(49 + (2-k)²) and PB = √(1 + (6 - k)²)
√(49 + (2-k)²) = √(1 + (6 - k)²)
=> (49 + (2-k)² = (1 + (6 - k)²
=> 49 + 4 - 4k + k² = 1 + 36 - 12k + k²
=> 8k = 37 - 53 = -16
=> k = -2
Thus, the value of K is -2 if (2,k) is equidistant from A and B, after applying the distance formula.
Learn more about the distance formula here:
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