JEE Main 2025 Maths Paper Discussion PDF

Sub : Mathematics Attempt : 01 Date : 12th Jan 2024 Shift : 01 JEE MAIN 2025 PAPER DISCUSSION Mathematics  JEE MAIN 2025 PAPER DISCUSSION A 5-letter word is to be made using any distinct 5 alphabets such that middle alphabet is M and letters should be in increasing order. ...

Sub : Mathematics Attempt : 01 Date : 12th Jan 2024 Shift : 01 JEE MAIN 2025 PAPER DISCUSSION Mathematics  JEE MAIN 2025 PAPER DISCUSSION A 5-letter word is to be made using any distinct 5 alphabets such that middle alphabet is M and letters should be in increasing order.  JEE MAIN 2025 PAPER DISCUSSION 𝑥−1 𝑦−2 𝑧−1 𝑥+2 𝑦−2 𝑧+1 The shortest distance between the lines = = and = = is 2 3 4 7 8 2 88 A 1277 78 B 1277 66 C 1277 55 D 1277  JEE MAIN 2025 PAPER DISCUSSION Two balls are selected at random one by one without replacement from the bag containing 4 white and 6 black balls. If the probability that the first selected ball is black given that the second selected is also black, is m/n when gcd(m, n) = 1, then m+n=?  JEE MAIN 2025 PAPER DISCUSSION 𝑛 2𝑛−1 2𝑛+1 2𝑛+3 2𝑛+5 1 If 𝑠𝑛 = σ𝑛𝑟=0 𝑇𝑟 = then find ෍ = 64 𝑟=1 𝑇𝑟  JEE MAIN 2025 PAPER DISCUSSION 1 1 If 𝑦 2 𝑑𝑥 + − 𝑥 𝑑𝑦 = 0 and 𝑥 1 = 1 then find 𝑥 𝑦 2  JEE MAIN 2025 PAPER DISCUSSION −3𝑎𝑥 2−2 𝑥 n the n. Find 4m + 3n.  JEE MAIN 2025 PAPER DISCUSSION Let the triangle PQR be the image of the triangle with vertices (1, 3), (3, 1) (2, 4) in the line x + 2y = 2. If the centroid 𝛥𝑃𝑄𝑅 is the point 𝛼, 𝛽 then 15 𝛼 − 𝛽 is equation  JEE MAIN 2025 PAPER DISCUSSION If A = {1, 2, 3}, find the number of non empty equivalence relation on set A A 4 B 5 C 6 D 7  JEE MAIN 2025 PAPER DISCUSSION A coin tossed three times. Let x denote number of times tail follows a head. If 𝜇 and 𝜎 2 denote the mean and variance of x the value of 64 𝜇 + 𝜎 2.  JEE MAIN 2025 PAPER DISCUSSION 𝑎1 , 𝑎2 ,... , 𝑎𝑛 are in G.P. a1a5 = 28 a2 + a4 = 29 Find 𝑎6 = ?  JEE MAIN 2025 PAPER DISCUSSION 8 6 4 𝑓 𝑥 = 7 tan𝑥 + 7 tan𝑥 − 3 tan𝑥 − 3 tan2 𝑥 𝐼1 = න𝑓 𝑥 𝑑𝑥, 𝐼2 න𝑥𝑓 𝑥 𝑑𝑥 7I1+12I2  JEE MAIN 2025 PAPER DISCUSSION Let f(x) be a real differentiable function such that f(0) = 1 and 𝑓 𝑥 𝑓 ′ 𝑦 + 𝑓 𝑦 𝑓 ′ 𝑥 for all 𝑥, 𝑦 ∈ 𝑅. Then σ100𝑛=1 log 𝑒 𝑓 𝑛 =  JEE MAIN 2025 PAPER DISCUSSION The Foci of hyperbola are (1, 14) and (1, –12) and passes through the point (1, 6) then its latus rectum is  JEE MAIN 2025 PAPER DISCUSSION 5 11𝐶 𝑚 2𝑟+1 ෎ = , gcd 𝑚 𝑛 = 1, 2𝑟 + 2 𝑛 𝑛=0 m–n=?  JEE MAIN 2025 PAPER DISCUSSION 𝐴 = ሼ1,2,3,... , 10ሽ, 𝑚 𝐵= , 𝑛 > 𝑚, 𝑚, 𝑛 ∈ 𝐴, gcd 𝑚 𝑛 = 1 𝑛 Then no. of elements in B = ? A 31 B 33 C 29 D 28  JEE MAIN 2025 PAPER DISCUSSION If 𝑓 𝑥 = 16 sec −1 𝑥 2 + cosec −1 𝑥 2 then the sum of max. and min. value of f(x) is  JEE MAIN 2025 PAPER DISCUSSION 2 Area outside the parabola and inside the circle 𝑥 − 2 3 + 𝑦 2 = 12 and parabola 𝑦 2 = 2 3𝑥.  JEE MAIN 2025 PAPER DISCUSSION Circle lie in the second quadrant with radius 2 and touching both coordinate areas. Another circle with centres (2, 6) exactly intersect the first circle at two points then range of it’s radius is (a, b) then find (a + b). JEE MAIN 2025 PAPER DISCUSSION YOU