The equation of the line passing through the points $(1, 2)$ and $(2, 5)$ is:

Find the general equation of a line perpendicular to $x + y + 4 = 0$ and passing through the point $(1, 2)$.

If $k = \frac{a+b}{ab}$ is a non-zero constant,then the point which lies on the straight line $\frac{x}{a} + \frac{y}{b} = 1$ is

The number of straight lines which are equally inclined to both the axes is

Reduce the equation $y-2=0$ into the normal form $x \cos \omega + y \sin \omega = p$. Find the perpendicular distance from the origin $(p)$ and the angle between the perpendicular and the positive $x$-axis $(\omega)$.

The gradient of the line joining the points on the curve $y = x^2 + 2x$ whose abscissae are $1$ and $3$,is