IIT JAM & CSIR NET - Life Sciences & Biotechnology

Plant & Animal System Physiology question bank (Biochemistry & Plant/Animal Physiology)

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Q1.

[Biochemistry & Plant/Animal Physiology Problem #1] Regarding Cauchy-Riemann equations for an analytic function f(z) = u(x,y) + i v(x,y): Which of the following analytical formulations is correct?

(A)

∂u/∂x = ∂v/∂y and ∂u/∂y = -∂v/∂x

(B)

∂u/∂x + ∂v/∂y = 0 and ∂u/∂y + ∂v/∂x = 0

(C)

∂^2u/∂x^2 + ∂^2v/∂y^2 = 0 strictly

(D)

∂u/∂x = -∂v/∂y and ∂u/∂y = ∂v/∂x

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Q2.

[Biochemistry & Plant/Animal Physiology Problem #2] Regarding eigenvalues of a real symmetric matrix A: Which of the following analytical formulations is correct?

(A)

All eigenvalues are strictly real, and eigenvectors from distinct eigenvalues are orthogonal

(B)

Eigenvalues must always be positive integers

(C)

The matrix cannot be diagonalized under any orthogonal transformation

(D)

All eigenvalues are pure imaginary

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