Question

What is the distance of a point (–3, 2) from the origin in Cartesian plane? 1

Answer 1

Answer:

√13 is the correct answer

Answer 2

SOLUTION

TO DETERMINE

The distance of a point (–3, 2) from the origin in Cartesian plane

EVALUATION

Here the given point is (–3, 2)

Now the origin is (0,0)

So the required distance of the point (–3, 2) from the origin in Cartesian plane

$\sf{ = \sqrt{ {( - 3 - 0)}^{2} + {(2 - 0)}^{2} } } \: \: \: unit$

$\sf{ = \sqrt{ {( - 3)}^{2} + {(2 )}^{2} } } \: \: \: unit$

$\sf{ = \sqrt{ 9 + 4} } \: \: \: unit$

$\sf{ = \sqrt{ 13} } \: \: \: unit$

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