Q.Prove that the Area of Triangle whose vertices are (t,t-2),(t+2,t+2) and (t+3,t) is independent of t.  Pls tell me what is the meaning of independent of t.

Thanks 

What does independent of t means

Hope,this helps

answer above pls thumbs up

above answer is wrong

thumbs up ... 

Given three points are (t, t-2) , (t+2, t+2) and (t+3, t)

use formula of traingle form of co-ordinate geometry .

area of traingle =1/2 {x1 (y2-y3)+x2 (y3-y1)+x3(y1-y2)}

now,
ar of triangle=1/2 {t (t+2-t)+(t+2)(t-t+2)+(t+3 (t-2-t-2)}
=1/2 {2t +2t +4 -4t -12}
=1/2 {-8}
=-4 
but here mention only magnitude of area of triangle so , area of traingle =4 sq unit 
you see in area of triangle not depend upon t

 

Continued in next post

The continued one Hope this helps you! If u found this helpful kindly click on the smiley☺