This is an assignment based on parametrics equations. Please show all the steps for all your workings.

Item. 1
For the analysis of the parabola,
The given parametric point P having the co-ordinate,

2( , 2 )at at
The standard equation of the parabola,
2 4y ax
So, the parametric equation points are representing the parabola and must lie on the
parabolic curve,
So it is necessary for the points to satisfy the parabolic equation,
So, put the values in the equation as,
2 , 2x at y at 
Hence,
 
2 2
2 2 2 2
2 4 ( )
4 4
L.H.S R.H.S
at a at
a t a t
 





Item-2
In the figure,

The Base of the...