Question:
Given that x2018 y2017 = 1/2 and x2016 y2019 = 8, the value of x2+y3 is
Given that x2018 y2017 = 1/2 and x2016 y2019 = 8, the value of x2+y3 is
Updated On: Sep 30, 2024
- 35/4
- 37/4
- 31/4
- 33/4
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The Correct Option is D
Solution and Explanation
The correct answer is (D):
x2018 y2017 = 1/2....(1)
and x2016 y2019 = 8...(2)
Dividing (1) by (2), x2/y2 = 1/16
x/y = 1/4 i.e. x = ± 1/4 y
(±1/4y)2018 y2017 = 1/2
y4035 = 2 4035
y = 2
Therefore, x = ±1/4 y = ± 1/2
Hence, x2 + y3 = 1/4 + 8 = 33/4
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