Hyperbola Part 13 JEE Main PYQ Theory Prabhat Ranjan

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=YAW2H4IbYCg

Amazon Book link: • ------------------------------ • Competishun (Latest Edition): https://amzn.to/3Moulpw • JEE Main PYQ + Theory | Prabhat Ranjan (Playlist): • JEE Main PYQ + Theory | Prabhat Ranjan • Boards, IIT JEE Maths (NCERT) | Full Course from Basic | Prabhat Ranjan (Playlist): • Boards, IIT JEE Maths (NCERT) | Full ... • Hyperbola (Part 1/3) JEE Main PYQ + Theory | Prabhat Ranjan • Hyperbola Question 1-10 (Part 1/3) 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 Hyperbola (Part 1/3) JEE Main PYQ + Theory by Prabhat Ranjan, Questions 1-10 cover essential concepts of hyperbolas for Class 11 and 12 students, specifically targeting preparation for JEE Main and Advanced exams for the years 2025 and 2026. This section introduces the foundational theory of hyperbolas, including their standard equations, focal properties, asymptotes, and eccentricity. Graphing techniques are also discussed, showing how to represent hyperbolas on a coordinate plane. The focus is on understanding the fundamental equations and their applications in solving typical JEE Main questions. With practical illustrations and question-solving strategies, this section serves as a crucial guide for students aiming to master hyperbolas, one of the key topics in conic sections. Through a blend of theory and previous year question (PYQ) practice, students will develop a robust understanding necessary for tackling hyperbola problems in competitive exams like JEE 2024, JEE 2025, and beyond. The insights provided into hyperbolas will also strengthen their overall grasp of conic sections, which is a significant portion of the mathematics syllabus. • 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 • 01:41 1) If a hyperbola passes through the point P(10, 16) and it has vertices at (±6, 0), then the equation of the normal to it at P is • 10:57 2) A line parallel to the straight line 2x-y=0 is tangent to the hyperbola x^2/4 - y^2 / 2 = 1 at the point (x1,y1) . Then x1 square plus 5 y1 square is equal to • 15:42 3) For some θ∈(0, π/2), if the eccentricity of the hyperbola, x^2-y^2 sec^2θ=10 is √(5) times the eccentricity of the ellipse, x^2 sec^2θ+y^2=5, then the length of the latus rectum of the ellipse, is • 21:38 4) Let e1 and e2 be the eccentricities of the ellipse, x2/25 + y2/b2 = 1(b greater than 5) and the hyperbola, x2/16 - y2/b2 = 1 respectively satisfying e1e2 = 1. If α and β are the distances between the foci of the ellipse and the foci of the hyperbola respectively, then the ordered pair ( α, β) is equal to • 27:32 5) Let P(3, 3) be a point on the hyperbola, (x2/a2) - (y2/b2) = 1. If the normal to it at P intesects the x-axis at (9, 0) and e is its eccentricity, then the ordered pair (a2, e2) is equal to • 33:22 6) If the line y = mx + c is a common tangent to the hyperbola x2/100 - y2/64 = 1 and the circle x2 + y2 = 36, then which one of the following is true? • 41:51 7) For which of the following curves, the line x + √3 y = 2√3 is the tangent at the point (3√3/2, 1/2)? • 47:31 8) A hyperbola passes through the foci of the ellipse x2/25 + y2/16 = 1 and its transverse and conjugate axes coincide with major and minor axes of the ellipse, respectively. If the product of their eccentricities in one, then the equation of the hyperbola is • 54:19 9) Consider a hyperbola H : x2 – 2y2 = 4. Let the tangent at a point P(4, √6) meet the x-axis at Q and latus rectum at R(x1, y1), x1 greater than 0. If F is a focus of H which is nearer to the point P, then the area of △QFR is equal to • 01:02:50 10) Let a line L : 2x + y = k, k greater than 0 be a tangent to the hyperbola x2 – y2 = 3. If L is also a tangent to the parabola y2 = α x, then α is equal to • Connect • -------------- • Instagram: / itsprabhatranjan • LinkedIn: / prabhat-ranjan-36602b213 • Facebook: https://www.facebook.com/profile.php?... • Telegram channel: https://telegram.me/itsprabhatranjanjee • Telegram Group: https://telegram.me/itsprabhatranjanj... • Business Enquiry: [email protected] • #jeemains #maths #prabhatranjan #pyq

#############################

New on site