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coordenates question - should be easy, is the answer wrong?

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coordenates question - should be easy, is the answer wrong? [#permalink] New post 22 Jun 2011, 06:47
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A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

64% (01:15) correct 36% (01:45) wrong based on 14 sessions
hi:
this is what i got from diagnosis test - but i think its wrong!
can anyone confirm this, please»?


If vertices of a triangle are A (5, 0), B (x, y) and C (25, 0), what is its area?



Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient
Statement 1: If , y is 10 but x could be -10 or 10. The area is same for x=10 and X= -10 . This is sufficient to answer the question.

Statement 2: If , x=10 but y could be 10 or -10 but different value of y does not affect the area of the triangle. This statement is also sufficient to answer the question.

The correct answer is D.
[Reveal] Spoiler: OA

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Re: coordenates question - should be easy, is the answer wrong? [#permalink] New post 22 Jun 2011, 07:18
joana0 wrote:
hi:
this is what i got from diagnosis test - but i think its wrong!
can anyone confirm this, please»?


If vertices of a triangle are A (5, 0), B (x, y) and C (25, 0), what is its area?



Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient
Statement 1: If , y is 10 but x could be -10 or 10. The area is same for x=10 and X= -10 . This is sufficient to answer the question.

Statement 2: If , x=10 but y could be 10 or -10 but different value of y does not affect the area of the triangle. This statement is also sufficient to answer the question.

The correct answer is D.


Formula for triangle
|x1(y2-y3)+x2(y3-y1)+x3(y1-y2)|

A (5, 0), B (x, y) and C (25, 0),
St 1: Y = 10 X can be -10 or +10
lets try both
A (5, 0), B (10, 10) and C (25, 0),
| 5(10-0)+ 10(0-0) + 25(0-10)|
|50 +0-250|= 200

no lets try X as -10
A (5, 0), B (-10, 10) and C (25, 0),

| 5(10-0)-10(0-0) +25(0-10)| = 200

same with St 2:

hence D
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Re: coordenates question - should be easy, is the answer wrong? [#permalink] New post 22 Jun 2011, 18:18
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Area = 1/2 * base *height = 1/2*20*h

where h is the length of the perpendicular from (x,y) to x axis.

1. Sufficient

x>=0
=> x=y=10 => (x,y) = (10,10)
x<0
=> -x =y=10 =>(x,y) = (-10,10)

both of the above points result in the height of 10

2. Sufficient

y>=0

x=y=10 => (x,y) = (10,10)

y<0
x=-y=10 => (x,y) = (10,-10)

both of the above points result in the height of 10

Answer is D.
Re: coordenates question - should be easy, is the answer wrong?   [#permalink] 22 Jun 2011, 18:18
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