Question

find the distance between a and b
a. \\( \sqrt { 10 } \\) units
b. 2 units
c. 3 units
d. \\( 2 \sqrt { 2 } \\) units

Explanation:

Step1: Determine coordinates

Assume \(A=(0,1)\) and \(B=(1, - 2)\)

Step2: Use distance formula

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)
Here \(x_1 = 0,y_1=1,x_2 = 1,y_2=-2\)
Substitute into the formula:

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Answer:

A. \(\sqrt{10}\) units