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In the xy-plane above, is angle QPR a right angle?

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In the xy-plane above, is angle QPR a right angle? [#permalink] New post 06 Aug 2012, 02:05
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In the xy-plane above, is angle QPR a right angle?

(1) Points P and Q have the same x-coordinate.
(2) Points P and R have the same y-coordinate.

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Re: In the xy-plane above, is angle QPR a right angle? [#permalink] New post 06 Aug 2012, 02:06
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In the xy-plane above, is angle QPR a right angle?

(1) Points P and Q have the same x-coordinate. Since P and Q have the same x-coordinate, then line segment PQ is vertical. Not sufficient. (Line segment PR can be at any angle to line segment PQ).

(2) Points P and R have the same y-coordinate. Since P and R have the same y-coordinate, then line segment PR is horizontal. Not sufficient.

(1)+(2) PQ is vertical and PR is horizontal. Therefore angle QPR must be a right angle. Sufficient.

Answer: C.
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Re: In the xy-plane above, is angle QPR a right angle? [#permalink] New post 06 Aug 2012, 06:53
Choice C. Given same axis i could visualize it as a right angled one.
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Re: In the xy-plane above, is angle QPR a right angle? [#permalink] New post 06 Aug 2012, 07:39
St 1: insufficient: PQ is parallel to Y axis
St 2: insufficient: PR is parallel to X axis

1 + 2 : Sufficient PQ perpendicular to PR
IMO C
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Re: In the xy-plane above, is angle QPR a right angle? [#permalink] New post 10 Aug 2012, 03:24
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SOLUTION

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In the xy-plane above, is angle QPR a right angle?

(1) Points P and Q have the same x-coordinate. Since P and Q have the same x-coordinate, then line segment PQ is vertical. Not sufficient. (Line segment PR can be at any angle to line segment PQ).

(2) Points P and R have the same y-coordinate. Since P and R have the same y-coordinate, then line segment PR is horizontal. Not sufficient.

(1)+(2) PQ is vertical and PR is horizontal. Therefore angle QPR must be a right angle. Sufficient.

Answer: C.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: In the xy-plane above, is angle QPR a right angle? [#permalink] New post 20 May 2014, 10:09
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Re: In the xy-plane above, is angle QPR a right angle? [#permalink] New post 20 Jun 2015, 14:01
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Re: In the xy-plane above, is angle QPR a right angle? [#permalink] New post 10 Sep 2015, 23:50
Statement 1 tells us that PQ is vertical line ll to Y axix
Statement 2 tells us that PR is horizontal line ll to X axis
X axis is perpendicular to Y axis

1+2 gives the ans
hence C
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Re: In the xy-plane above, is angle QPR a right angle? [#permalink] New post 19 Sep 2015, 00:29
A. Insufficient. Since, we do not know whether the line is parallel to x axis
B. Insufficient. Since, we do not know whether the line is parallel to y axis.

Together the two statements give the answer. C.
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Re: In the xy-plane above, is angle QPR a right angle?   [#permalink] 19 Sep 2015, 00:29
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