9. Five mark exercise problems - II

1. A cat is located at the point \((-6,-4)\) in \(xy\) plane. A bottle of milk is kept at \((5,11)\). The cat wishes to consume the milk travelling through the shortest possible distance. Find the equation of the path it needs to take the milk.

 

Answer:

 

The equation of the path the cat needs to take the milk is \(15x + 11y - 46 = 0\)\(15x - 11y - 46 = 0\)\(15x + 11y + 46 = 0\)\(15x - 11y + 46 = 0\).

 

2. Find the equation of a line whose inclination is \(30^{\circ}\) and making an intercept \(-3\) on the \(Y\) axis.

 

Answer:

 

Slope \(m =\) $\frac{i}{\sqrt{i}}$

 

The equation of the line is