Parabola (Part 2/3) JEE Main PYQ + Theory | Prabhat Ranjan

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Parabola (Part 2/3) JEE Main PYQ + Theory | Prabhat Ranjan

Parabola Question 11-20 (Part 2/3) Class 11, 12 Mathematics Boards, JEE Main, JEE Advanced, IIT JEE Full course from basic JEE Main Question Practice JEE Main PYQ + Theory by Prabhat Ranjan for class 12, boards, IIT JEE 2025, JEE Main 2025, JEE Advanced 2025, IIT JEE 2026, JEE Main 2026, JEE Advanced 2026.

In the "Parabola (Part 2/3) JEE Main PYQ + Theory" series by Prabhat Ranjan, the focus is on solving Parabola Questions 11-20, providing detailed explanations and theory for JEE Main, JEE Advanced, and IIT JEE aspirants preparing for the 2025 and 2026 exams. This series is designed for Class 11 and 12 Mathematics Boards and competitive exams like JEE Main 2024, JEE Main 2023, and JEE Advanced 2026. The video builds on previous concepts from Part 1, diving deeper into the properties of parabolas, focusing on directrix, latus rectum, and applications in solving complex problems. Students preparing for conic sections, hyperbolas, ellipses, and parabola-related questions can find this part especially useful as it ties together these topics under the broader subject of conics. PYQs from recent exams like JEE Mains 2023 and JEE Main 2024 are covered with detailed step-by-step solutions, ensuring that students understand the approach needed to solve these problems in real exam scenarios. Emphasizing revision strategies and highlighting common mistakes, Prabhat Ranjan provides a structured pathway to mastering the parabola section of conic sections. The series also integrates insights into the JEE Main 2023 and JEE Main 2024 strategies, offering students a clear roadmap to navigate through these challenging sections of the exam. Additionally, the theory complements the practical problem-solving techniques, helping students balance conceptual learning with exam-specific preparation. Whether targeting JEE Mains, JEE Advanced, or board exams, this session serves as an invaluable resource for building a solid foundation in conic sections, particularly the parabola.

All these aspects have been covered by Prabhat Ranjan in full detail in his new YouTube video.

I am Prabhat Ranjan, currently pursuing B.Tech in Mechanical Engineering from NIT Jamshedpur.

Timeline:
00:00 Introduction
01:48 11) If one end of a focal chord of the parabola, y2 = 16x is at (1, 4), then the length of this focal chord is
10:13 12) The area (in sq. units) of the smaller of the two circles that touch the parabola, y2 = 4x at the point (1,
2) and the x-axis is
18:50 13) The tangents to the curve y = (x -2)2 - 1 at its points of intersection with the line x - y = 3, intersect at
the point
25:04 14) If y = mx + 4 is a tangent to both the parabolas, y2 = 4x and x2 = 2by, then b is equal to
28:57 15) Let P be a point on the parabola, y2 = 12x and N be the foot of the perpendicular drawn from P on the axis of the parabola. A line is now drawn through the mid-point M of PN, parallel to its axis which meets the parabola at Q. If the y-intercept of the line NQ is 4/3, then
36:50 16) Let L1 be a tangent to the parabola y2 = 4 (x + 1) and L2 be a tangent to the parabola y2 = 8(x + 2) such that L1 and L2 intersect at right angles. Then L1 and L2 meet on the straight line
41:44 17) If the three normal drawn to the parabola, y2 = 2x pass through the point (a, 0) a 0, then 'a' must be greater then
47:36 18) Let P be a variable point on the parabola y = 4x2 +1. Then, the locus of the mid-point of the point p and the foot of the perpendicular drawn from the point P to the line y = x is
58:08 19) The length of the latus rectum of a parabola, whose vertex and focus are on the positive x-axis at a distance R and S (greater than R) respectively from the origin, is
59:34 20) Consider the parabola with vertex (1/2, 3/4) and the directrix y = 1/2. Let P be the point where the parabola meets the line x = -1/2. If the normal to the parabola at P intersects the parabola again at the point Q, then (PQ)2 is equal to

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