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Question
Find distance between point A(– 3, 4) and origin O
Options
7 cm
10 cm
5 cm
– 5cm
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Solution
5 cm
Let A(x1, y1) = A( -3, 4) and O(x2, y2) = O(0, 0)
Here, x1 = -3, y1 = 4, x2 = 0, y2 = 0
By distance formula,
d(A, O) = `sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)`
∴ d(A, O) = `sqrt([0 - (-3)]^2 + (0- 4)^2)`
∴ d(A, O) = `sqrt(9 + 16)`
∴ d(A, O) = `sqrt(25)`
∴ d(A, O) = 5 cm
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