Mathematics Mock Test - 6

What are the direction ratios of the normal to the plane $2x-y+2z+1=0$?

Let $A$ and $B$ be two mutually exclusive events. Let $P(\cdot )$ denote the probability. Which of the following statements is true?

What is the solution of the differential equation $\ln \left(\frac{dy}{dx}\right)-a=0$?

The equation of a plane passing through the point with position vector $\vec{a}$ and perpendicular to vector $\vec{b}$ is:

The order of $[xyz]\left[\begin{array}{ccc}a& h& g\\ h& b& f\\ g& f& c\end{array}\right]\left[\begin{array}{c}x\\ y\\ z\end{array}\right]$ is: