GATE Production & Industrial

At how many points will the curves y = x² and y = -x² – 2x - 1 intersect in the real (x, y) plane?

In the given figure, $\overline{PQ}$ is the diameter of a circle with center $O$. Two points $R$ and $S$ are chosen on the circle such that $\angle ROS = 80^{\circ}$. When $\overli...

Which ONE of the following options is the closest approximation to the value of the given definite integral? $\int_{0}^{1} e^{-x^2} dx$ Note: Use numerical integration

Which ONE of the following is the value of $\frac{1}{i^n}$? where $i = \sqrt{-1}$, and $n$ is an even positive integer.

In statistical analysis of numerical data, which ONE or MORE among the options is/are possible value(s) of correlation coefficient?

Consider the line integral $\int_C (2x dx + 2y dy + 2z dz)$ where C is a semi-circle in the z = 0 plane with start point at (0, 0, 0) and end point at (1, 0, 0). The value of the l...

Which ONE of the following options CORRECTLY matches the matrices to their properties? Matrix P [-30 17 5 17 0 -12 5 -12 4] Q [0 1 9 7 0 2 12 3 0] R [2/3 1/3 2/3 0 2/3 -1/3 0 4/3 -...

If $\frac{dy}{dt} = 2y$, and the value of y at t = 0 is 2, then the value of y at t = 1 is ______ (rounded off to two decimal places).

The number of soldering defects that occur in a semiconductor device follows a discrete Poisson distribution with a probability mass function $p(x) = \frac{e^{-\lambda}\lambda^x}{x...