can someone explain to me how we get to s = 1?
I managed to find out that OP = OQ = sqrt3. but does it automatically follow that Q has coordinates (sqrt3; 1) ??
THANK YOU
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another great prompt
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DBushkalov
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here's a good one from the GMAT PREP's tasks:
can someone explain to me how we get to s = 1?
I managed to find out that OP = OQ = sqrt3. but does it automatically follow that Q has coordinates (sqrt3; 1) ??
THANK YOU
can someone explain to me how we get to s = 1?
I managed to find out that OP = OQ = sqrt3. but does it automatically follow that Q has coordinates (sqrt3; 1) ??
THANK YOU
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Anju@Gurome
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Refer to the figure below
Now, the two right angle triangles are congruent triangles as their angles have same measures and their hypotenuse are also equal.
Hence, s must be equal to 1 and t must be equal to √3.
The correct answer is B.
Now, the two right angle triangles are congruent triangles as their angles have same measures and their hypotenuse are also equal.
Hence, s must be equal to 1 and t must be equal to √3.
The correct answer is B.
Anju Agarwal
Quant Expert, Gurome
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Quant Expert, Gurome
Backup Methods : General guide on plugging, estimation etc.
Wavy Curve Method : Solving complex inequalities in a matter of seconds.
§ GMAT with Gurome § Admissions with Gurome § Career Advising with Gurome §
GMAT/MBA Expert
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Anju@Gurome
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Algebraic Approach:
Coordinates of point O, the origin is (0, 0).
Angle POQ = 90º, so (the slope of OP)*(slope of OQ) = -1 (the product of the slopes of two perpendicular lines is -1).
We can find the slope of OP, as we know the coordinates of both O and P.
Slope of OP = (1 - 0)/(-√3 - 0) = -1/√3
So, slope of OQ = √3/1 or (√3 - 0)/(1 - 0), which implies the x-coordinate of point Q is 1 or s = 1.
The correct answer is B.
Coordinates of point O, the origin is (0, 0).
Angle POQ = 90º, so (the slope of OP)*(slope of OQ) = -1 (the product of the slopes of two perpendicular lines is -1).
We can find the slope of OP, as we know the coordinates of both O and P.
Slope of OP = (1 - 0)/(-√3 - 0) = -1/√3
So, slope of OQ = √3/1 or (√3 - 0)/(1 - 0), which implies the x-coordinate of point Q is 1 or s = 1.
The correct answer is B.
Anju Agarwal
Quant Expert, Gurome
Backup Methods : General guide on plugging, estimation etc.
Wavy Curve Method : Solving complex inequalities in a matter of seconds.
§ GMAT with Gurome § Admissions with Gurome § Career Advising with Gurome §
Quant Expert, Gurome
Backup Methods : General guide on plugging, estimation etc.
Wavy Curve Method : Solving complex inequalities in a matter of seconds.
§ GMAT with Gurome § Admissions with Gurome § Career Advising with Gurome §
