Arjun pointed at the coaching modules. "They are too easy. The exam is different."
Find the number of distinct real tangents that can be drawn from the point (0, -2) to the curve y² = 4x. maths cengage jee mains
That was the moment. Cengage wasn't just a problem set. It was a . Arjun pointed at the coaching modules
That night, Arjun turned to a random page in by G. Tewani. Chapter: Application of Derivatives . Topic: Tangents and Normals . He chose a problem marked with the infamous red star (*) – the "advanced" level. That was the moment
He stared for an hour. Then, he re-read the theory in Cengage, not the solved problems. Buried in a small, often-ignored "Note" box was a line: "For a parabola y² = 4ax, from an external point, you may have 0, 1, or 2 real tangents. Always check the discriminant method. Never rely solely on the slope form; it fails for vertical lines."