🎯JEE Advanced 2016 Mathematics Paper 1 & 2 Solutions | Om Sharma Author IIT Bombay

#omsirmaths #OmSharmaSir #JEEAdvanced #IITMaths Master the toughest questions of JEE Advanced 2016 Maths (Paper 1 & 2) with Crispy Conceptual Solutions! 🚀 Learn the exact topper-level approach and logic-based shortcuts from Om Sharma (IIT Bombay Graduate & Pearson Author). In this video, we break down every single problem from the JEE Advanced 2016 Mathematics papers. Instead of long, tedious methods, we focus on Rank Booster Techniques—the kind that save time and eliminate errors during the actual exam. Time Stamps JEE Advanced 2016 Paper 1 0:00 Introduction & Paper Analysis of JEE Advanced 2016 P1 & P2 3:02 Q37.Let -π/6θ-π/12. Suppose 1and are the roots of the equation 9:52 Q38.A debate club consists of 6 girls and 4 boys. A team of 4 members 14:08 Q39."Let S={x∈(-π,π);x≠0,±π/2}The sum of all distinct solution of the" 22:18 Q40.A computer producing factory has only two plants T1and T2. 33:49 Q41.The least value of R for which 4αx2+ 1/x≥1, for all x 0, is 41:42 Q42.Consider a pyramid OPQRS located in the first octant 56:09 Q43.Let f : (0,∞)R be a differentiable function such that f 1:04:29 Q44.Let P = [■(3&-1&-2@2&0&α@3&-5&0)], where R. Suppose Q 1:15:24 Q45.In a triangle XYZ, let x, y , z be the lengths of sides opposite to the angels 01:26:54 Q46.A solution curve of the differential equation (x2 + xy + 4x + 2y + 4) 01:41:44 Q47.Let f : R R, g : R R and h : R R be differentiable functions 01:49:54 Q48.The circle C1 : x2 + y2 = 3, with centre at O, intersects the parabola 02:02:37 Q49.Let RS be the diameter of the circle x2 + y2= 1, where S is the point 02:11:20 Q50.The total number of distinct x R for which |■(x&x2&1+x3@2x&4x 02:16:03 Q51.Let m be the smallest positive integer such that the coefficient of x2 in het 02:25:10 Q52.The total number of distinct x [0, 1] for which ∫_0x▒〖t2/(1+t4 ) 02:34;29 Q53.Let , R be such that (lim)┬(x→0) (x^2 sin⁡( βx))/(αx-sin⁡x 02:39:07 Q54.Let z=(-1+√3 i)/2, where i = √(-1), and r, s {1,2,3}. JEE Advanced 2016 Paper 2 02:49:07 Q37.Let P = [■(1&0&0@4&1&0@16&4&1)] and I be the identity matrix of order 3. 02:57:47 Q38.Let bi 1 for i = 1,2 ,…., 101. Suppose logeb1, logeb2,…, loge b101 03:08:52 Q39.The value of ∑_(k=1)^13▒1/(sin⁡(π/4+((k-1)π)/6) sin⁡(π/4+kπ/6) )is equal to 03:17:56 Q40.The value of ∫_(-π/2)^(π/2)▒(x^2 cos⁡x)/(1+e^x ) dxis equal to 03:22:52 Q41.Area of the region {(x,y)∈R^2:y≥√(|x+3|),5y≤x+9≤15}is equal to 03:35:36 Q42.Let P be the image of the point (3,1,7) with respect to the plane 03:40:53 Q43.Let f(x) = (lim)┬(n→∞) ((n^n (x+n)(x+n/2)....(x+n/n))/(n!(x^2+n^2 ) 03:59:40 Q44.Let a, b R and R R be defined by f(x) = acos(|x3 – x|) + b|x| sin(|x3 + x|). 04:06:02 Q45.Let f : R (0, ) and g : R R be twice differentiable functions such that f  04:13:06 Q46.Let f:[-1/2,2]→Randg:[-1/2,2]→Rbe functions defined by f 04:30:10 Q47.Let a, b, R and a2 + b2 0. Suppose S = {z∈C:z=1/(a+ibt),t∈R,t≠0}, 04:38:14 Q48.Let P be the point on the parabola y2= 4x which is at the shortest 04:47:40 Q49.Let R. Consider the system of linear equation 04:53:18 Q50.Let u ̂=u_1 i ̂+u_2 j ̂+u_3 k ̂be a unit vector in R3and w ̂=1/√6(i ̂+j ̂+2k ̂). 05:02:18 Q51,52.Football team T1 and T2 have to play two games against each other. 05:11:56 Q53,54.Let F1(x1, 0) and F2(x2, 0) , for x1 0 and x2 0, be the foci of the ellipse 📚 Get Author Signed Pearson Mathematics Books Series [https://upliftmaths.com] 🌐Join the UPLIFT JEE for Premium Courses Dekstop: [[https://upliftjee.com] iOS:[https://apps.apple.com/us/app/uplift-...] Android: [https://play.google.com/store/apps/de...] 📢 WhatsApp Community for Free Materials: [https://whatsapp.com/channel/0029Va5q...] 🔷 Telegram for Doubts/Challenges/Notes: [https://telegram.me/omsir] 📸Instagram [https://instagram/sharmaa.om] ✅✈️🔖 📌