Find the intercepts made by the line 2x – 3y + 6 = 0 with the coordinate axes.

The equation of the graph shown here is:

In the given figure, $AP$ bisect $\angle BAC$. If $\mathrm{AB}=4\mathrm{cm}, \mathrm{AC}=6 \mathrm{cm}$and $\mathrm{BP}=3 \mathrm{cm}$, then the length of $\mathrm{CP}$ is:

Find the ratio in which line $3x+2y=17$ divides the line segment joined by points $\left(2,5\right)$ and $\left(5,2\right).$

What is the area of this trapezoidal garden (All measurements are in cm)? 

1. $60$ sq.cm
2. $180$ sq.cm
3. $210$ sq.cm 
4. $240$ sq.cm

If the area of a circle is $9\pi$ sq.cm, then its circumference is:

1. $9$ cm
2. $6\pi$ cm
3. $3\pi$ cm
4. $6$ cm

Find the area of the triangle formed with the three straight lines represented by:

$$\begin{gathered} \left(i\right) x+y=0 \\ \left(ii\right) 3x = 5y; and \\ \left(iii\right) y=3x-12 \end{gathered}$$