COACHengg's video: Conic Sections - Most Repeated Concept in JEE Main 2022 June MATHS - Common Tangent

In this video, we will understand the thought process behind solving the COMMON TANGENTS Questions asked in CONIC SECTIONS in JEE Main 2022 June Attempt. _________________________________________________________________________ JEE Main 2022 June MATHS QUESTIONS Discussed QUESTION 1 If m is the slope of a common tangent to the curves x^2/16 + y^2/9 = 1 and x^2 + y^2 = 12, then 12m^2 is equal to (1) 6 (2) 9 (3) 10 (4) 12 QUESTION 2 Let the common tangents to the curves 4(x^2 + y^2) = 9 and y^2 = 4x intersect x-axis at the point Q. Let an ellipse, centered at the origin O, has lengths of semi-minor and semi-major axes equal to OQ and 6, respectively. If e and 𝑙 respectively denote the eccentricity and the length of the latus rectum of this ellipse, then 𝑙/e^2 is equal to QUESTION 3 Let x^2 + y^2 + Ax + Bx + C = 0 be a circle passing through (0, 6) and touching the parabola y = x^2 at (2, 4). then A + C is equal to (1) 16 (2) 88/5 (3) 72 (4) −8 QUESTION 4 If y = m1x + c1 and y=m2x + c2, m1, m2 are slopes of two common tangents of circle x2 + y2 = 2 and parabola y2 = x, then the value of 8|m1m2| is equal to (1) 3 + 4√2 (2) −5 + 6√2 (3) −4 + 3√2 (4) 7 + 6√2 QUESTION 5 Let L be a tangent line to the parabola y^2 = 4x − 20 at (6, 2). If L is also a tangent to the ellipse x^2/2 + y^2/b = 1, then the value of b is equal to (1) 11 (2) 14 (3) 16 (4) 20 ______________________________________________________________________________________ Highly useful tips for JEE Mains 2022 Tips and Tricks to Crack JEE 2022 5 Secret tips to crack Tips and tricks to secure good rank in JEE Main 2022 Quick Tips to crack JEE Main 2022 Secrets to Crack JEE Main 2022 and Advanced Last Minute Preparation Tips for JEE Main 2022 Last Minute tips to Crack JEE Main 2022 JEE Mains Last Days Strategy JEE Mains Last Minute Tips and Cheat Code JEE Main Exam Day Do's & Don'ts What To Do Before 2 Days of JEE Main Exam JEE Main 2022 Solutions June Shift JEE Main 2022 Solutions - 25 June Shift 1 JEE Main 2022 Solutions - 25 June Shift 2 JEE Main 2022 Solutions - 26 June Shift 1 JEE Main 2022 Solutions - 26 June Shift 2 JEE Main 2022 Solutions - 27 June Shift 1 JEE Main 2022 Solutions - 27 June Shift 2 JEE Main 2022 Solutions - 28 June Shift 1 JEE Main 2022 Solutions - 28 June Shift 2 JEE Main 2022 Solutions - 29 June Shift 1 JEE Main 2022 Solutions - 29 June Shift 2 JEE Main 2022 July Shift Strategy JEE Main 2022 July Shift Plan JEE Main 2022 July Shift MATHS Strategy JEE Main 2022 July Shift MATHS Plan JEE Main 2022 July Shift PHYSICS Strategy JEE Main 2022 July Shift PHYSICS Plan JEE Main 2022 July Shift CHEMISTRY Strategy JEE Main 2022 July Shift CHEMISTRY Plan JEE Main 2022 July Shift Toppers Plan JEE Main 2022 July Shift Toppers Strategy JEE MAIN 2022 JULY : PERFECT Strategy + Most Comprehensive DO's & DONT's JEE MAIN 2022 - HOW to Improve Marks in July attempt __________________________________________________________________