The area of the region bounded by the curve $y=2 x-x^2$ and the line $y=x$ is ........... units. square

The general solution of $x \frac{d y}{d x}=y-x \tan \left(\frac{y}{x}\right)$ is .............

The statement pattern $(p \wedge q) \wedge[\sim r \vee(p \wedge q)] \vee(\sim p \wedge q)$ is equivalent to ...........

A bag contains 6 white and 4 black balls. Two balls are drawn at random. The probability that they are of the same colour is ...........