One night, after scoring a pathetic 38 in a full syllabus test, his father quietly asked, "Beta, where is the problem?"
He tried. He failed. He drew graphs. He failed again. He derived the equation of a tangent in slope form (y = mx + 1/m). He plugged in (0, -2). He got -2 = 0 + 1/m → m = -1/2. One tangent. But his gut screamed there was another—a vertical one. maths cengage jee mains
Boom. The vertical line x=0 (the y-axis). Does it touch y²=4x? Only at (0,0). Yes, it’s a tangent. He had missed it because his formula had a blind spot. One night, after scoring a pathetic 38 in