Answer: y = mx ± √(a²m²+b²).
- A y = mx ± √(a²m²+b²)
- B y = mx ± √(a²-b²)
- C y = mx + c
- D y = mx ± ab
Correct answer: A. y = mx ± √(a²m²+b²)
Explanation: Substitute y=mx+c into ellipse; discriminant=0 gives tangency condition: c²=a²m²+b². So c=±√(a²m²+b²), and tangent is y=mx±√(a²m²+b²). Ans: y=mx±√(a²m²+b²).
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.