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If the distance from P to O in the figure above is k, then what is the

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If the distance from P to O in the figure above is k, then what is the  [#permalink]

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New post 18 Nov 2016, 03:57
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If the distance from P to O in the figure above is k, then what is the distance from O to point Q (not shown), whose coordinates are (4x, 4y)?

A. k/2
B. 2k
C. 4k
D. 8k
E. 16k

Attachment:
T6194.png
T6194.png [ 4 KiB | Viewed 1445 times ]

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Re: If the distance from P to O in the figure above is k, then what is the  [#permalink]

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New post 18 Nov 2016, 04:16
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Bunuel wrote:
Image
If the distance from P to O in the figure above is k, then what is the distance from O to point Q (not shown), whose coordinates are (4x, 4y)?

A. k/2
B. 2k
C. 4k
D. 8k
E. 16k

Attachment:
T6194.png


Given x^2+y^2= K^2 since distance between (0,0) and (x,y)= k
distance between (0,0) and (4x,4y) = (4x)^2 + (4y)^2 = 16K^2
hence distance between (0,0) and (4x,4y)= 4k
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Re: If the distance from P to O in the figure above is k, then what is the  [#permalink]

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New post 04 May 2017, 10:11
Bunuel wrote:
Image
If the distance from P to O in the figure above is k, then what is the distance from O to point Q (not shown), whose coordinates are (4x, 4y)?

A. k/2
B. 2k
C. 4k
D. 8k
E. 16k

Attachment:
T6194.png


Using hypotenuse formula,
for coordinates (x,y),
x^2 + y^2 = k^2

for coordinates (4x,4y),
16x^2 + 16y^2 = 16 (x^2 + y^2) = 16k^2

So the hypotenuse will be 4k
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If the distance from P to O in the figure above is k, then what is the  [#permalink]

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New post 04 May 2017, 12:18
Bunuel wrote:
Image
If the distance from P to O in the figure above is k, then what is the distance from O to point Q (not shown), whose coordinates are (4x, 4y)?

A. k/2
B. 2k
C. 4k
D. 8k
E. 16k

Attachment:
The attachment T6194.png is no longer available


Assign values

X=1
Y=1
O to P = 1k
O to Q = 4x the length, 4k.
Attachments

Untitled.png
Untitled.png [ 5.66 KiB | Viewed 748 times ]

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Re: If the distance from P to O in the figure above is k, then what is the  [#permalink]

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New post 15 May 2017, 13:18
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SQR of x^2 + y^2 = k

SQR of (4x)^2 + (4y)^2 = 4 * (SQR of x^2 + y^2) =4k
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Re: If the distance from P to O in the figure above is k, then what is the &nbs [#permalink] 15 May 2017, 13:18
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