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# In the coordinate plane above, point C is not displayed. If the length

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Math Expert
Joined: 02 Sep 2009
Posts: 52432
In the coordinate plane above, point C is not displayed. If the length  [#permalink]

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18 Sep 2018, 20:26
00:00

Difficulty:

55% (hard)

Question Stats:

58% (02:50) correct 42% (02:24) wrong based on 136 sessions

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In the coordinate plane above, point C is not displayed. If the length of line seg­ment BC is twice the length of line segment AB, which of the following could not be the coordinates of point C?

(A) (-5,-2)

(B) (9, 12)

(C) (10, 11)

(D) (11, 10)

(E) (13, 4)

Attachment:

plane.jpg [ 9.24 KiB | Viewed 920 times ]

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Intern
Joined: 08 Sep 2015
Posts: 1
Re: In the coordinate plane above, point C is not displayed. If the length  [#permalink]

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18 Sep 2018, 20:38
1
A

Length of AB is 5 by pythagoras theorem. so length of BC must be 10.
Except A, all point are at a distance of 10 from point B.
Manager
Joined: 08 Oct 2015
Posts: 241
Re: In the coordinate plane above, point C is not displayed. If the length  [#permalink]

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18 Sep 2018, 21:00
1
ankitpandey wrote:
A

Length of AB is 5 by pythagoras theorem. so length of BC must be 10.
Except A, all point are at a distance of 10 from point B.

The ans is actually c and not a

A gives you a distance of 10 when you use the distance formula

Posted from my mobile device
Manager
Joined: 02 Jan 2016
Posts: 123
Re: In the coordinate plane above, point C is not displayed. If the length  [#permalink]

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08 Nov 2018, 22:55
Can someone post the solution ?
Intern
Joined: 24 May 2017
Posts: 2
Re: In the coordinate plane above, point C is not displayed. If the length  [#permalink]

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09 Nov 2018, 00:28
Could anyone pls share an explanation on this questionBunuel
Manager
Joined: 14 Jun 2018
Posts: 223
Re: In the coordinate plane above, point C is not displayed. If the length  [#permalink]

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21 Nov 2018, 06:51
Draw a perpendicular towards x axis X'. BX' = 4 units ; AX' = 3 units. AB = 5 units.
Now check the distance of B from C using the points in the options.

a) 10 units
b) 10 units
c) sqrt 98
d) 10 units
e) 10 units
Intern
Joined: 19 Aug 2018
Posts: 28
In the coordinate plane above, point C is not displayed. If the length  [#permalink]

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21 Nov 2018, 20:01
Please somebody could put the answer?, I'm trying to figure out how can I solve it.
I got it we have to draw imaginary triangles with coordinates of C.

Thank you
Manager
Joined: 14 Jun 2018
Posts: 223
Re: In the coordinate plane above, point C is not displayed. If the length  [#permalink]

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21 Nov 2018, 20:16
jorgetomas9 wrote:
Please somebody could put the answer?, I'm trying to figure out how can I solve it.
I got it we have to draw imaginary triangles with coordinates of C.

Thank you

Use the options to solve it. Without it , it would take way to long.

You'll have to use assume C(x,y) and find the values for x and y

$$(3-x)^2 + (4-y)^2 = 10^2$$
Intern
Joined: 19 Aug 2018
Posts: 28
Re: In the coordinate plane above, point C is not displayed. If the length  [#permalink]

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21 Nov 2018, 20:17
pandeyashwin wrote:
jorgetomas9 wrote:
Please somebody could put the answer?, I'm trying to figure out how can I solve it.
I got it we have to draw imaginary triangles with coordinates of C.

Thank you

Use the options to solve it. Without it , it would take way to long.

You'll have to use assume C(x,y) and find the values for x and y

$$(3-x)^2 + (4-y)^2 = 10^2$$

Yes, I did it, Thank you.
Re: In the coordinate plane above, point C is not displayed. If the length &nbs [#permalink] 21 Nov 2018, 20:17
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