00:01
Hi, today we are solving the question in which we are given x is equals to ct square plus 6 and y is equals to 4 into t cube plus 2.
00:13
That passes to the point is given as 10 or 6.
00:20
So, here if we see that we take the derivative of x with respect to t so it will be 12t and if we take the y derivative with respect to t it will be 12t.
00:36
Now 12t square.
00:39
So, here if we take dy by dx so it will become t.
00:48
Now, therefore x is equals to 60 square plus 6.
00:53
So, we can write it down as 12 is equals to 60 square, 10 is equals to 60 square plus 6 as the point given is 10 or 6.
01:04
So, x coordinate is 10.
01:06
So, from here it will become 4 is equals to 60 square, 10 minus 6 will be 4 and it will be equal to 60 square.
01:18
From here 4 by 6 is equals to t square.
01:25
That will be equal to 0 .66667 is equals to t square.
01:36
So, from here we get t is equals to under root 0 .66667.
01:43
So, from here we get the value of t as equals to.
01:46
So, we get t is equals to 0 .81651.
01:52
Now, similarly if we take y is equals to 4t cube plus 2.
01:58
So, from here 6 is equals to 4t cube plus 2.
02:02
That means 6 minus 2 is equals to 4t cube.
02:07
So, from here we get 4 is equals to 4t cube...