Question

Which of the following points is not 10 units from the origin?
(A) (-6, 8)
(B) (8,-6)
(C) (-6,-8)
(D) (6,4)​

Answer 1

Answer:

i think (-6,-8) is not unit of 10

Answer 2

Answer: option d i.e. (6,4)

Step-by-step explanation:

To check the distance between two points we use the distance formula which is as follows:

$x=\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }$

where x1, and x2 are the x coordinates of both points and y1, and y2 are the y coordinates of both the points.

Now in our question first point is origin i.e. (0,0)

Now find the distance between origin and (-6,8)

$x=\sqrt{(0+6^{2}) +(0-8)^{2} }$

$x=\sqrt{36+64}$

$x=\sqrt{100}$

$x=10$

Now find the distance between origin and (8,-6)

$x=\sqrt{(0-8^{2}) +(0+6)^{2} }$

$x=\sqrt{64+36}$

$x=\sqrt{100}$

$x=10$

Now find the distance between origin and (-6,-8)

$x=\sqrt{(0+6^{2}) +(0+8)^{2} }$

$x=\sqrt{36+64}$

$x=\sqrt{100}$

$x=10$

Now find the distance between origin and (6,4)

$x=\sqrt{(0-6^{2}) +(0-4)^{2} }$

$x=\sqrt{36+16}$

$x=\sqrt{52}$ which is not equal to 10.

Hence option d i.e. (6,4) didn't has a distance from origin equal to 10 units.

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