Maths Cengage Jee Mains Official

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.

For months, he had treated the Cengage books like a sacred text—something you revere from a distance. He’d solve the "Solved Examples" by reading the solutions, nodding wisely, and moving on. The "Single Correct Answer" exercises were his ceiling. He never dared to touch the "Multiple Correct," "Comprehension Type," or the dreaded "Integer Answer Type" sections. maths cengage jee mains

Find the number of distinct real tangents that can be drawn from the point (0, -2) to the curve y² = 4x. The room was silent