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Line x and y intersect to form a 90 degree angle
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08 Mar 2021, 07:28
08 Mar 2021, 07:28
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Line x and y intersect to form a 90 degree angle, and neither line is parallel to the x or y axis
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Quantity A |
Quantity B |
The product of the slopes of x and y |
-1 |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Re: Line x and y intersect to form a 90 degree angle
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08 Mar 2021, 07:30
08 Mar 2021, 07:30
1
Imp things to remember :
When two lines intersect each other at an angle of 90 degree, the multiplication of their slope will be -1
When two lines are parallel to each other then the slope will be same
Answer C
When two lines intersect each other at an angle of 90 degree, the multiplication of their slope will be -1
When two lines are parallel to each other then the slope will be same
Answer C
Line x and y intersect to form a 90 degree angle
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08 Mar 2021, 07:32
08 Mar 2021, 07:32
1
Solution:
We just need to know that, if the slopes are perpendicular, the slope of one line will be negative reciprocal of the other.
So, for eg., if the slope of line x= \(\frac{1}{2}\)
Thus the slope of line y=\(\frac{-1}{x}\)=-2
Therefore, the product of the slope=-1
IMO C
Hope this helps
We just need to know that, if the slopes are perpendicular, the slope of one line will be negative reciprocal of the other.
So, for eg., if the slope of line x= \(\frac{1}{2}\)
Thus the slope of line y=\(\frac{-1}{x}\)=-2
Therefore, the product of the slope=-1
IMO C
Hope this helps
