Hi,
Request help with the following question.Thanks..
Request you to please refer to the attached image.
What are the coordinates of S?
A)OS slope = 1/3
B)ST slope = 1/2
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Coordinate Geometry - 1
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Anurag@Gurome
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assume the co-ordinates of S are (x,y).
considering each option alone:
1) given: slope of OS = 1/3 and co-ordinates of O and T are (0,0)and(5,0) respectively.
OS slope is 1/3
slope of line when given two points(m) = (y1 - y2)/(x1 - x2)
so, we will get the line equation of OS. the point can be any point on the line.
so with the option 1, we can`t get the exact point.
2) given: slope of ST = 1/2 and co-ordinates of O and T are (0,0)and(5,0) respectively.
we will get the line equation of ST.
so with the option 2 also, we can`t get the exact point.
combining 1 and 2, we have two different lines (as their slopes are different), they will meet at exactly one point.
hence, it can be answered using both the options
considering each option alone:
1) given: slope of OS = 1/3 and co-ordinates of O and T are (0,0)and(5,0) respectively.
OS slope is 1/3
slope of line when given two points(m) = (y1 - y2)/(x1 - x2)
so, we will get the line equation of OS. the point can be any point on the line.
so with the option 1, we can`t get the exact point.
2) given: slope of ST = 1/2 and co-ordinates of O and T are (0,0)and(5,0) respectively.
we will get the line equation of ST.
so with the option 2 also, we can`t get the exact point.
combining 1 and 2, we have two different lines (as their slopes are different), they will meet at exactly one point.
hence, it can be answered using both the options
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prat_agl
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A- can get the equation of OS as we know the slope and a point (origin), but this will not give the value of S. Insufficient.
b - Can get the equation of ST as we know the slope and a point (5,0) but this will not give the value of S. Insufficient.
Combining both, we have equation of two lines and we need to find the point of intersection of these 2 line. Sufficient.
b - Can get the equation of ST as we know the slope and a point (5,0) but this will not give the value of S. Insufficient.
Combining both, we have equation of two lines and we need to find the point of intersection of these 2 line. Sufficient.
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Ankur87
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Anurag@Gurome wrote:assume the co-ordinates of S are (x,y).
considering each option alone:
1) given: slope of OS = 1/3 and co-ordinates of O and T are (0,0)and(5,0) respectively.
OS slope is 1/3
slope of line when given two points(m) = (y1 - y2)/(x1 - x2)
so, we will get the line equation of OS. the point can be any point on the line.
so with the option 1, we can`t get the exact point.
2) given: slope of ST = 1/2 and co-ordinates of O and T are (0,0)and(5,0) respectively.
we will get the line equation of ST.
so with the option 2 also, we can`t get the exact point.
combining 1 and 2, we have two different lines (as their slopes are different), they will meet at exactly one point.
hence, it can be answered using both the options
hello sir,
i didn't get this solution,
i mean if we are having o(0,0) and s(x,y)
and slope of OS is 1/3 then y2-y1/x2-x1 = 1/3
i.e y2-0/x2-0 = 1/3
y2/x2 = 1/3
y2 = 1, x2 = 3.
same with the line ST.
please correct me where am i wrong.
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Hi ankur,
when y2/x2 = 1/3,
it does not mean y2 = 1 and x2 = 3. it can be any set of values that satisfy the ratio 1/3.
for example
when y2 = 2, x2 = 6
when y2 = 0.5, x2 = 1.5
we will have infinite set of values satisfying this condition
when y2/x2 = 1/3,
it does not mean y2 = 1 and x2 = 3. it can be any set of values that satisfy the ratio 1/3.
for example
when y2 = 2, x2 = 6
when y2 = 0.5, x2 = 1.5
we will have infinite set of values satisfying this condition
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
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