Answer: y = -tx + 2at + at³.
- A y = -tx + 2at + at³
- B y = tx - 2at - at³
- C y = tx + 2at
- D y = -tx + 2at
Correct answer: A. y = -tx + 2at + at³
Explanation: Slope of tangent at t is 1/t, so normal slope = −t. Normal through (at²,2at): y−2at=−t(x−at²), giving y=−tx+2at+at³. Verified: this is the standard normal form. Ans: y=−tx+2at+at³.
The slope of a line is the ratio of vertical change (rise) to horizontal change (run) between any two points on it - equivalently, the tangent of the angle θ the line makes with the positive x-axis.