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Points (x, -2) and (-3, y) are in quadrants IV and II, respe
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19 Feb 2018, 07:29
19 Feb 2018, 07:29
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Expert Reply
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Question Stats:
75% (00:43) correct
24% (00:24) wrong based on 29 sessions
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Points (x, -2) and (-3, y) are in quadrants IV and II, respectively. If xy does not equal 0, in which quadrant is point (x,y)?
A. I
B. II
C. III
D. IV
E. Cannot be determined from the information given.
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A. I
B. II
C. III
D. IV
E. Cannot be determined from the information given.
Show: :: OE
If point (x,-2) is in quadrant IV, that means that x is positive, as we move over x units to the right from the origin and down 2 units.If point (-3,y) is in the II quadrant, then we know that y is positive, as we move 3 units to the left of the origin and x units up.
Thus, we know that in (x,y), we have two positive values; we move right x units and up y units from the origin, so the point must be in quadrant I. A is the answer.
Thus, we know that in (x,y), we have two positive values; we move right x units and up y units from the origin, so the point must be in quadrant I. A is the answer.
_________________
Re: Points (x, -2) and (-3, y) are in quadrants IV and II, respe
[#permalink]
20 Feb 2018, 11:59
20 Feb 2018, 11:59
1
Expert Reply
Background information you need to know: the four quadrants of the coordinate system start in the upper right quadrant at I and go counter-clockwise so that the upper left quadrant is II, lower left is III, and lower right is IV.
In quadrant IV, x coordinates are positive but y coordinates are negative. Thus, x must be positive. In quadrant II, x coordinates are negative but y coordinates are positive. Thus, y must be positive.
If both x and y are positive, then point (x, y) must be in the upper right quadrant, which is quadrant I. So the answer is A.
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In quadrant IV, x coordinates are positive but y coordinates are negative. Thus, x must be positive. In quadrant II, x coordinates are negative but y coordinates are positive. Thus, y must be positive.
If both x and y are positive, then point (x, y) must be in the upper right quadrant, which is quadrant I. So the answer is A.
_________________
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Re: Points (x, -2) and (-3, y) are in quadrants IV and II, respe
[#permalink]
25 Jun 2023, 05:00
25 Jun 2023, 05:00
1
↧↧↧ Detailed Video Explanation to the Problem ↧↧↧
Given that Points (x, -2) and (-3, y) are in quadrants IV and II, respectively and xy ≠ 0. We need to find in which quadrant is point (x,y)?
Now, xy ≠ 0
=> Neither x nor y is equal to 0
Refer below image to understand the sign of variables in a x-y plane
CG-6 XY Plane.jpg [ 12.22 KiB | Viewed 502 times ]
(x,-2) is in IV Quadrant
=> x is positive
(-3,y) is in II Quadrant
=> y is positive
=> (x,y) both are positive
=> (x,y) will be in I Quadrant
So, Answer will be A
Hope it helps!
Watch the following video to learn the Basics of Co-ordinate Geometry
_________________
Given that Points (x, -2) and (-3, y) are in quadrants IV and II, respectively and xy ≠ 0. We need to find in which quadrant is point (x,y)?
Now, xy ≠ 0
=> Neither x nor y is equal to 0
Refer below image to understand the sign of variables in a x-y plane
Attachment:
CG-6 XY Plane.jpg [ 12.22 KiB | Viewed 502 times ]
(x,-2) is in IV Quadrant
=> x is positive
(-3,y) is in II Quadrant
=> y is positive
=> (x,y) both are positive
=> (x,y) will be in I Quadrant
So, Answer will be A
Hope it helps!
Watch the following video to learn the Basics of Co-ordinate Geometry
_________________
Ankit
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How to Solve :
Equation of a Line || Co-ordinate Geometry || Remainders || LCM and GCD || Inequalities || Absolute Value || Factors and Multiples || Number and Sum of Factors || Similar Triangles || Exponents || Work Rate || Probability: Coin Toss || Probability: Dice Roll || Prime Numbers || Circles || Equilateral Triangle in a Circle || Arithmetic and Geometric Progression || Divisibility Rules || Statistics || Functions and Custom Characters || Stem & Leaf Plot || Box And Whisker Plot
GRE Club Topic Wise Problems
GRE Quant - 2019 Ed
GRE Verbal - 2019 Ed
The Princeton Review Quantitative Directory
The 5 lb. Book of GRE Practice Problems (2nd Ed.) - QUANT
GRE - PowerPrep® The FREE Practice Tests Explained 2019
to BrushMyQuant YouTube Channel to get WEEKLY new VIDEOS!!!How to Solve :
Equation of a Line || Co-ordinate Geometry || Remainders || LCM and GCD || Inequalities || Absolute Value || Factors and Multiples || Number and Sum of Factors || Similar Triangles || Exponents || Work Rate || Probability: Coin Toss || Probability: Dice Roll || Prime Numbers || Circles || Equilateral Triangle in a Circle || Arithmetic and Geometric Progression || Divisibility Rules || Statistics || Functions and Custom Characters || Stem & Leaf Plot || Box And Whisker Plot
GRE Club Topic Wise Problems
GRE Quant - 2019 Ed
GRE Verbal - 2019 Ed
The Princeton Review Quantitative Directory
The 5 lb. Book of GRE Practice Problems (2nd Ed.) - QUANT
GRE - PowerPrep® The FREE Practice Tests Explained 2019
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