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 ?

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

The line y = x partitions the circle (x - a)² + y² = a² in two segments.

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

The line y = x partitions the circle (x - a)² + y² = a² in two segments.

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

Let A(1, -1, 2) and B(2, 1, -1) be the end points of the diameter of the sphere

x² + y² + z² + 2ux + 2vy + 2wz - 1 = 0.