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प्रश्न
Find the distance between the following points:
A(–6, 4) and B(2, –2)
योग
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उत्तर
Given: A(–6, 4) and B(2, –2)
Step-wise calculation:
1. Distance formula: `d = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2`
2. Substitute coordinates: `d = sqrt((2 - (-6))^2 + (-2 - 4)^2`
3. `d = sqrt(8^2 + (-6)^2`
4. `d = sqrt(64 + 36)`
5. `d = sqrt(100) = 10`
The distance AB = 10 units.
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