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22 Feb 2017, 01:47
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
54% (01:36) correct
46%
(01:44)
wrong
based on 592
sessions
History
Date
Time
Result
Not Attempted Yet
At how many points does the parabola y = 1/2*x^2 intersect the hyperbola x^2 – y^2 = 1?
A. 0
B. 1
C. 2
D. 3
E. 4
A. 0
B. 1
C. 2
D. 3
E. 4
22 Feb 2017, 02:01
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Bunuel
Second method to solve the question is to find the solutions algebraically
Given,
Parabola y = 1/2*x^2 i.e. x^2 = 2y
Hyperbola x^2 – y^2 = 1
Substitute the value of x^2 from equation of parabola to equation of Hyperbola
x^2 – y^2 = 1
i.e. (2y) – y^2 = 1
i.e. y^2 - 2y + 1 = 0
i.e. (y-1)^2 = 0
i.e. y = 1
Substituting the value of y to fin the value of x
x^2 = 2*1=2
i.e. x = +\(\sqrt{2}\)
Hence, 2 points of Intersections
Answer: Option C
General Discussion
22 Feb 2017, 01:52
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Are you sure such questions can come I forgot what does a parabola look like
Sent from my SM-G600FY using GMAT Club Forum mobile app
Sent from my SM-G600FY using GMAT Club Forum mobile app
