Consider the following for the next two (02) items that follow :

Given that m(θ) = cot²θ + n²tan²θ + 2n, where n is a fixed positive real number. 

Under what condition does m attain the least value ? 

Consider the following for the next two (02) items that follow :

A quadrilateral is formed by the lines x = 0, y = 0, x + y = 1 and 6x + y = 3. 

What is the equation of diagonal through origin ? 

Consider the following for the next two (02) items that follow :

A quadrilateral is formed by the lines x = 0, y = 0, x + y = 1 and 6x + y = 3. 

What is the equation of other diagonal ?  

Consider the following for the next two (02) items that follow :

P(x, y) is any point on the ellipse x² + 4y² = 1. Let E, F be the foci of the ellipse. 

What is PE + PF equal to ?