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Points A and B are shown in the xy-plane above. Point C (not shown) is

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Points A and B are shown in the xy-plane above. Point C (not shown) is  [#permalink]

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23 May 2019, 04:00
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Difficulty:

25% (medium)

Question Stats:

79% (01:24) correct 21% (01:36) wrong based on 24 sessions

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Points A and B are shown in the xy-plane above. Point C (not shown) is above the x-axis so that the area of triangle ABC is 10. Which of the following could be the coordinates of C?

I. (0, 4)
II. (2, 5)
III. (3, 4)

A. I only
B. II only
C. III only
D. I and III only
E. I, II and III

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#GRepracticequestion Points A and B are shown in the xy-plane above.jpg [ 15.19 KiB | Viewed 336 times ]

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Points A and B are shown in the xy-plane above. Point C (not shown) is  [#permalink]

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Updated on: 23 May 2019, 13:46
1
Area= 1/2*height*base=10
1/2* ( y co-ordinates of C) * (AB) = 10
1/2* ( y co-ordinates of C)*5=10
( y co-ordinates of C)= 4

1. (0, 4) can be co-ordinates of C, y co-ordinates of C is equal to 4.
2. (2, 5) can't be the co-0rdinates of C as y co-ordinate of (2,5) is not equal to 4
3. (3, 4) can be the co-ordinates of C, y co-ordinates of C is equal to 4.

Originally posted by nick1816 on 23 May 2019, 04:32.
Last edited by nick1816 on 23 May 2019, 13:46, edited 1 time in total.
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Re: Points A and B are shown in the xy-plane above. Point C (not shown) is  [#permalink]

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23 May 2019, 10:24
height of ∆ ; 1/2 * x*5= 10 ; 4
so option with y as 4 is answer
IMO D

Bunuel wrote:

Points A and B are shown in the xy-plane above. Point C (not shown) is above the x-axis so that the area of triangle ABC is 10. Which of the following could be the coordinates of C?

I. (0, 4)
II. (2, 5)
III. (3, 4)

A. I only
B. II only
C. III only
D. I and III only
E. I, II and III

Attachment:
#GRepracticequestion Points A and B are shown in the xy-plane above.jpg

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Re: Points A and B are shown in the xy-plane above. Point C (not shown) is   [#permalink] 23 May 2019, 10:24
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