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 ?

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. 

Consider the following points :

1. $\left(\frac{\sqrt{3}}{2}, 0\right)$

2. $\left(\frac{\sqrt{3}}{2}, \frac{1}{4}\right)$

3. $\left(\frac{\sqrt{3}}{2},-\frac{1}{4}\right)$

Which of the above points lie on latus rectum of ellipse ?