00:01
Hello students we are given a question like this equation of the line tangent to the given curve and given slope we are given a equation of curve okay and it's a tangent slope so first of all what we are given y is equals to 2 x square minus 7 x okay so we just need to differentiate it so dy y dx is equals to 2 2 j4 x after that minus 7 okay and we are given that it's tangent slope is nothing but equal to 1 so basically we can compare the dye y d x is nothing but equal to m which is also equal to 1 okay, students, so basically we can write 4x minus 7 is nothing but equal to 1.
00:33
It means 4x is equal to 1 plus 7 comes out as 8, okay? and x comes out as 8 divided by 4 comes out as 2.
00:40
Now, what we need to do, we can just put those where that x value in the equation in order to find the y coordinate.
00:46
So 2x squared minus 7x, okay, 2x square.
00:49
So basically 2 square minus 7 times of x is nothing but 2.
00:53
So y is equals 2.
00:54
2 is nothing but 4, 4, 2ja, 8.
00:56
Okay, students, minus 7, 2ja, 14.
00:59
So 8 minus 14 comes out as minus 6...