Three cards were drawn from a pack of $$52$$ cards. The probability that they are a king, a queen, and a jack is

The root of the function $$f\left( x \right) = {x^3} + x - 1$$ obtained after first iteration on application of Newton-Raphson scheme using an initial guess of $${x_0} = 1$$ is

Solutions of Laplace's equation having continuous second-order partial derivatives are called

A force $$F$$ is acting on a bent bar which is clamped at one end as shown in the figure. The CORRECT free body diagram is