Math Chapter Wise question with answer

Q01 Let f(x, y) = 2 2 2 x y x + y for (x, y) ≠ (0, 0) then English · Bihar (TRE 1.0) -2023 Q02 Let α = ∞ ∫ 2 0 1 1+ t at Which of the following is true? English · Bihar (TRE 1.0) -2023 Q03 The complete integral of the equation p q 1 + = + =, where z z P,q x y ∂ ∂ = ∂ ∂ is English · PGT 2010 Q04 If 2 xy z = e,x = tcost,y = tsint, then the value of dz π at,t = is - dt 2 English · UPPSC Polytechnic Lecturer 2021 (I) Q05 If V = (x2 + y2 + z2)–1/2, then ∂ ∂ ∂ ∂ ∂ ∂ V V V x + y + z x y z is equal to English · UP PGT 2021 Q06 If u = x y +, then the value of 2 2 2 2 2 2 u u u x xy y, x y ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ + + ∂ ∂ is - English · UPPSC GIC 2021