Later, at a college farewell, a junior asked him, "Sir, which book is enough for JEE Main Maths?"
The room was silent. A boy behind him started hyperventilating. Arjun closed his eyes. He saw the grey Cengage cover. He remembered a similar problem from Parabola – Exercise 3, Multiple Correct, Question 17. He recalled the trick: the tangent at (at², 2at) for y²=4ax. Here a=3. t = y/(2a) = -6/(6) = -1. Tangent: y*(-1) = x + 3*(-1)² → -y = x+3 → x+y+3=0. Directrix: x = -3. Intersect P: (-3,0). Focus: (3,0). Distance = 6. maths cengage jee mains
When the results came, Arjun had secured 98.7 percentile in Mathematics. His overall rank was within 15,000. Later, at a college farewell, a junior asked
JEE Main 2024, Shift 2. Question 42 (Mathematics section): Let the tangent to the parabola y² = 12x at the point (3, -6) intersect the directrix at point P. Find the distance of P from the focus. He saw the grey Cengage cover
Arjun pointed at the coaching modules. "They are too easy. The exam is different."
Arjun pulled out his phone and showed a photo: four battered, grey Cengage books held together with tape and rubber bands.