GATE EE 2014 Question Paper (02-Mar-2014) (Shift 1)

Which one of the following statements is true for all real symmetric matrices?

Consider a dice with the property that the probability of a face with n dots showing up is proportional to n. The probability of the face with three dots showing up is ______

Minimum of the real valued function $f\left(x\right)=10{\left(x-1\right)}^{\frac{2}{3}}$ occurs at x equal to

All the values of the multi-valued complex function 1ⁱ, where $i=\sqrt{-1}$, are

Consider the differential equation $x^2\frac{d^{2}y}{d{x}^2}+x\frac{dy}{dx}-y=0$. Which of the following is a solution to this differential equation for x > 0?