If a shape is translated (has it's vertex' coordinates moved/changed), then it retains its original values but just has different vertex coordinates.
Thus since DE is equal to UV, then,
DE = UV; substitution:
5=5
So firstly, foil 3(4g + 6) and 2 (6g + 9): 
Now since the quantity is the same on both sides of this equation, this means that <u>this equation has infinite solutions.</u>
Equation of an ellipse
→having center (0,0) , vertex (
and covertex
and focus
is given by:

As definition of an ellipse is that locus of all the points in a plane such that it's distance from two fixed points called focii remains constant.
Consider two points (a,0) and (-a,0) on Horizontal axis of an ellipse:
Distance from (a,0) to (c,0) is = a-c = 
Distance from (-a,0) to (c,0) is = a + c = 
a -c + a +c
= a + a
= 2 a →(Option A )
There are 151,200 possible combinations. If you'd like an explanation of my answer, please let me know.