Classifying second order PDE (CSIR NET Dec 2016 Math.Sci. Part B)

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This is a CSIR NET December 2016 Mathematical Sciences Part B Question.

Question: The PDE x (∂^2 u)/(∂x^2 )+y (∂^2 u)/(∂y^2 )=0 is
1. Hyperbolic for x greater than 0, y less than 0
2. Elliptic for x greater than 0, y less than 0
3. Hyperbolic for x greater than 0, y greater than 0
4. Elliptic for x less than 0, y greater than 0

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sir please upload question number 68.of June set a 2015

sandeepjaiswal
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ODE should be edited into PDE, but thats not a NASC for this good one, 🔥

goovgo