Uplift Maths: Om Sharma Sir

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Om Sharma Sir - IIT Bombay B.Tech Graduate | Author of 7 Pearson JEE Advanced Mathematics Books | 18+ Years from Kota | Mentored 100+ Top Rankers in JEE Advanced 🎯 Complete JEE Maths Course 📚 Kota Module Solutions 🔥 Daily Problem Solving ⚡ Shortcuts & Tricks 📌 JEE Main & Advanced Aspirants of class 11/12 and Droppers aiming for top IITs #OmSharmaSir #JEEMaths #IITPreparation #MathsForJEE #JEEAdvanced #PYQSeries #JEEPreparation #IITJEEMaths #JEE2026 #MathsShortcut

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🔥Master Continuity with Om Sharma’s Kota Modules! | JEE Maths Solutions | Om Sharma Author | IIT B

🔥Master Continuity with Om Sharma’s Kota Modules! | JEE Maths Solutions | Om Sharma Author | IIT B Uplift Maths: Om Sharma Sir

1.1K views - 1 week ago

First Maths Lecturer: Crash Course for JEE Advanced 2026 | Om Sharma | IIT Bombay & Pearson Author

First Maths Lecturer: Crash Course for JEE Advanced 2026 | Om Sharma | IIT Bombay & Pearson Author Uplift Maths: Om Sharma Sir

1.6K views - 1 week ago

🎯💪🎓JEE Advanced 2021 Paper 1&2 : Crispy & Rank Booster Solutions | Om Sharma |Pearson Author | IIT B

🎯💪🎓JEE Advanced 2021 Paper 1&2 : Crispy & Rank Booster Solutions | Om Sharma |Pearson Author | IIT B Uplift Maths: Om Sharma Sir

827 views - 2 weeks ago

🔥🏆🚀METHOD OF DIFFERENTIATION Kota Module Solution | Om Sharma sir | Pearson Author | IIT B

🔥🏆🚀METHOD OF DIFFERENTIATION Kota Module Solution | Om Sharma sir | Pearson Author | IIT B Uplift Maths: Om Sharma Sir

1.3K views - 2 months ago

🔥🏆🚀Progression Sequence & Series Kota Module Solution |Om Sharma | Pearson Author | IIT B IIT JEE

🔥🏆🚀Progression Sequence & Series Kota Module Solution |Om Sharma | Pearson Author | IIT B IIT JEE Uplift Maths: Om Sharma Sir

1.5K views - 3 months ago

🔥🏆🚀Quadratic Equation Kota Module Solution | Om Sharma sir | Pearson Author | IIT B | JEE Advanced

🔥🏆🚀Quadratic Equation Kota Module Solution | Om Sharma sir | Pearson Author | IIT B | JEE Advanced Uplift Maths: Om Sharma Sir

1.2K views - 3 months ago

🔥🏆🚀Limit Of Function Kota Module Solution | Om Sharma sir | Pearson Author | IIT B | JEE Advanced

🔥🏆🚀Limit Of Function Kota Module Solution | Om Sharma sir | Pearson Author | IIT B | JEE Advanced Uplift Maths: Om Sharma Sir

1.3K views - 3 months ago

🔥🏆🚀INVERSE TRIGONOMETRIC FUNCTION | Kota Module Solution | Om Sharma sir | Pearson Author | IIT B

🔥🏆🚀INVERSE TRIGONOMETRIC FUNCTION | Kota Module Solution | Om Sharma sir | Pearson Author | IIT B Uplift Maths: Om Sharma Sir

1.1K views - 4 months ago

🔥🏆🚀TRITOGONOMETRY EQUATION Kota Module Solution| Om Sharma sir IIT B | JEE Advanced 2026/2027

🔥🏆🚀TRITOGONOMETRY EQUATION Kota Module Solution| Om Sharma sir IIT B | JEE Advanced 2026/2027 Uplift Maths: Om Sharma Sir

1.6K views - 4 months ago

🔥🏆🚀TRITOGONOMETRY RATIO Kota Module Solution | Om Sharma sir | Pearson Author | IIT B | JEE Advanced

🔥🏆🚀TRITOGONOMETRY RATIO Kota Module Solution | Om Sharma sir | Pearson Author | IIT B | JEE Advanced Uplift Maths: Om Sharma Sir

2.4K views - 4 months ago

🔥🏆🚀FUNCTION Kota Module Solution | Om Sharma sir | Pearson Author | IIT B | JEE Advanced

🔥🏆🚀FUNCTION Kota Module Solution | Om Sharma sir | Pearson Author | IIT B | JEE Advanced Uplift Maths: Om Sharma Sir

2.7K views - 4 months ago

Big 🔥LAUNCH🏆: KOTA JEE Advanced Maths Modules Solutions | Om Sharma sir | Pearson Author | IIT B

Big 🔥LAUNCH🏆: KOTA JEE Advanced Maths Modules Solutions | Om Sharma sir | Pearson Author | IIT B Uplift Maths: Om Sharma Sir

1.8K views - 4 months ago

Alert ‼️ Challenging Problem Algebra & Definite Integration & Inverse Trigonometric fn | Om Sharma

Alert ‼️ Challenging Problem Algebra & Definite Integration & Inverse Trigonometric fn | Om Sharma Uplift Maths: Om Sharma Sir

1.2K views - 5 months ago

Let R denote the set of all real numbers. Let f : R→R be defined by f(x) = 6x + sin x/2x +sin x if x

Let R denote the set of all real numbers. Let f : R→R be defined by f(x) = 6x + sin x/2x +sin x if x Uplift Maths: Om Sharma Sir

822 views - 5 months ago

Let P(x1,y1) and Q(x2,y2) be two distinct points on the ellipse x^2/9 + y^2/4 =1 such that y1 0, and

Let P(x1,y1) and Q(x2,y2) be two distinct points on the ellipse x^2/9 + y^2/4 =1 such that y1 0, and Uplift Maths: Om Sharma Sir

371 views - 5 months ago

Let S denote the locus of the mid-points of those chords of the parabola y^2 = x, such that the are

Let S denote the locus of the mid-points of those chords of the parabola y^2 = x, such that the are Uplift Maths: Om Sharma Sir

696 views - 5 months ago

A factory has a total of three manufacturing units, M1, M2 and M3, which produce bulbs independent

A factory has a total of three manufacturing units, M1, M2 and M3, which produce bulbs independent Uplift Maths: Om Sharma Sir

458 views - 6 months ago

For a non-zero complex number z, let arg(z) denote the principal argument of z, with −pi arg(z) pi

For a non-zero complex number z, let arg(z) denote the principal argument of z, with −pi arg(z) pi Uplift Maths: Om Sharma Sir

591 views - 6 months ago

Consider the vectors x=i^+2j^+3k^, y=2i^+3j^+k^,z=3i^+j^+2k^. For two distinct positive real numbers

Consider the vectors x=i^+2j^+3k^, y=2i^+3j^+k^,z=3i^+j^+2k^. For two distinct positive real numbers Uplift Maths: Om Sharma Sir

820 views - 6 months ago

Let R to R denote the set of all real numbers. Let f:R→R and g:R→(0,4) be functions defined by f(x)=

Let R to R denote the set of all real numbers. Let f:R→R and g:R→(0,4) be functions defined by f(x)= Uplift Maths: Om Sharma Sir

348 views - 6 months ago

If α = 2∫1/2 tan−1x/(x^2−3x+2)dx , then the value of √7tan(2α√7/π) is(Here, the inverse trigonometri

If α = 2∫1/2 tan−1x/(x^2−3x+2)dx , then the value of √7tan(2α√7/π) is(Here, the inverse trigonometri Uplift Maths: Om Sharma Sir

321 views - 6 months ago

Let y(x) be the solution of the differential equationx^2 dy/dx+xy=x^2+y^2,x 1/e satisfying y(1)=0

Let y(x) be the solution of the differential equationx^2 dy/dx+xy=x^2+y^2,x 1/e satisfying y(1)=0 Uplift Maths: Om Sharma Sir

332 views - 6 months ago

Let 𝑎0, 𝑎1, … , 𝑎23 be real numbers such that ( 1 + 2x/5 )^23 = 23 ∑ i = 0 ai x^i for every real

Let 𝑎0, 𝑎1, … , 𝑎23 be real numbers such that ( 1 + 2x/5 )^23 = 23 ∑ i = 0 ai x^i for every real Uplift Maths: Om Sharma Sir

843 views - 6 months ago

Let I = ( 1 0 0 1 ) and P = ( 2 0 0 3 ). Let Q = ( x y z 4 ) for some non-zero real numbers x, y

Let I = ( 1 0 0 1 ) and P = ( 2 0 0 3 ). Let Q = ( x y z 4 ) for some non-zero real numbers x, y Uplift Maths: Om Sharma Sir

407 views - 6 months ago

Let a = 1/sin 60 sin 61 + 1/sin 62 sin 63 +............+1/sin118 sin119 then value of (cosec1/a)^2

Let a = 1/sin 60 sin 61 + 1/sin 62 sin 63 +............+1/sin118 sin119 then value of (cosec1/a)^2 Uplift Maths: Om Sharma Sir

489 views - 6 months ago

The total number of real solutions of the equation is q = tan –1(2tan q ) –1/2 sin –1(6tan q/9+tan ^

The total number of real solutions of the equation is q = tan –1(2tan q ) –1/2 sin –1(6tan q/9+tan ^ Uplift Maths: Om Sharma Sir

665 views - 6 months ago

L et 𝑆 denote the locus of the point of intersection of the pair of lines 4𝑥 − 3𝑦 = 12𝛼, 4𝛼𝑥 + 3𝛼𝑦 =

L et 𝑆 denote the locus of the point of intersection of the pair of lines 4𝑥 − 3𝑦 = 12𝛼, 4𝛼𝑥 + 3𝛼𝑦 = Uplift Maths: Om Sharma Sir

782 views - 8 months ago

L et ℝ denote the set of all real numbers. Then the area of the region{(𝑥, 𝑦) ∈ ℝ × ℝ ∶ 𝑥 greater

L et ℝ denote the set of all real numbers. Then the area of the region{(𝑥, 𝑦) ∈ ℝ × ℝ ∶ 𝑥 greater Uplift Maths: Om Sharma Sir

645 views - 8 months ago

L et 𝑥0 be the real number such that 𝑒^𝑥0 + 𝑥0 = 0 . For a given real number 𝛼, define𝑔(𝑥) = 3𝑥𝑒^𝑥 +

L et 𝑥0 be the real number such that 𝑒^𝑥0 + 𝑥0 = 0 . For a given real number 𝛼, define𝑔(𝑥) = 3𝑥𝑒^𝑥 + Uplift Maths: Om Sharma Sir

925 views - 8 months ago

Let 𝛼 and 𝛽 be the real numbers such that lim𝑥→0 1/𝑥^3(𝛼/2 x∫ 01/1−𝑡^2𝑑𝑡+𝛽𝑥cos𝑥)=2 .Then the value

Let 𝛼 and 𝛽 be the real numbers such that lim𝑥→0 1/𝑥^3(𝛼/2 x∫ 01/1−𝑡^2𝑑𝑡+𝛽𝑥cos𝑥)=2 .Then the value Uplift Maths: Om Sharma Sir

1.1K views - 8 months ago

Let 𝑤⃗ = 𝑖̂+𝑗̂−2𝑘̂, and 𝑢⃗ and 𝑣 be two vectors, such that 𝑢⃗ ×𝑣 = 𝑤⃗⃗ and 𝑣 ×𝑤⃗ = 𝑢⃗. Let 𝛼,𝛽,𝛾

Let 𝑤⃗ = 𝑖̂+𝑗̂−2𝑘̂, and 𝑢⃗ and 𝑣 be two vectors, such that 𝑢⃗ ×𝑣 = 𝑤⃗⃗ and 𝑣 ×𝑤⃗ = 𝑢⃗. Let 𝛼,𝛽,𝛾 Uplift Maths: Om Sharma Sir

740 views - 8 months ago

JEE Advanced 2025 Paper 1, Match the column on Differential Calculus | Om Sharma

JEE Advanced 2025 Paper 1, Match the column on Differential Calculus | Om Sharma Uplift Maths: Om Sharma Sir

448 views - 8 months ago

Let ℝ denote the set of all real numbers. Let 𝑓:ℝ→ℝ be a function such that 𝑓(𝑥) 0 for all 𝑥∈ℝ, and

Let ℝ denote the set of all real numbers. Let 𝑓:ℝ→ℝ be a function such that 𝑓(𝑥) 0 for all 𝑥∈ℝ, and Uplift Maths: Om Sharma Sir

1.3K views - 8 months ago

Let 𝑆 be the set of all seven-digit numbers that can be formed using the digits 0, 1 and 2. For

Let 𝑆 be the set of all seven-digit numbers that can be formed using the digits 0, 1 and 2. For Uplift Maths: Om Sharma Sir

1.3K views - 8 months ago

Consider the following frequency distribution: Value 4 5 8 9 6 12 11Frequency 5 𝑓1 𝑓2 2 1 1 3 Suppo

Consider the following frequency distribution: Value 4 5 8 9 6 12 11Frequency 5 𝑓1 𝑓2 2 1 1 3 Suppo Uplift Maths: Om Sharma Sir

418 views - 8 months ago

For all 𝑥 0, let 𝑦1(𝑥),𝑦2(𝑥), and 𝑦3(𝑥) be the functions satisfying 𝑑𝑦1𝑑𝑥−(sin𝑥)2𝑦1=0, 𝑦1(1)=5 , 𝑑𝑦2

For all 𝑥 0, let 𝑦1(𝑥),𝑦2(𝑥), and 𝑦3(𝑥) be the functions satisfying 𝑑𝑦1𝑑𝑥−(sin𝑥)2𝑦1=0, 𝑦1(1)=5 , 𝑑𝑦2 Uplift Maths: Om Sharma Sir

741 views - 8 months ago

For any two points 𝑀 and 𝑁 in the 𝑋𝑌-plane, let 𝑀𝑁⃗ denote the vector from 𝑀 to 𝑁, and 0⃗ denote

For any two points 𝑀 and 𝑁 in the 𝑋𝑌-plane, let 𝑀𝑁⃗ denote the vector from 𝑀 to 𝑁, and 0⃗ denote Uplift Maths: Om Sharma Sir

444 views - 8 months ago

Let ℕ denote the set of all natural numbers, and ℤ denote the set of all integers. Consider the fun

Let ℕ denote the set of all natural numbers, and ℤ denote the set of all integers. Consider the fun Uplift Maths: Om Sharma Sir

782 views - 8 months ago

Let ℝ denote the set of all real numbers. Let 𝑧1=1+2𝑖 and 𝑧2=3𝑖 be two complex numbers, where 𝑖=√−1

Let ℝ denote the set of all real numbers. Let 𝑧1=1+2𝑖 and 𝑧2=3𝑖 be two complex numbers, where 𝑖=√−1 Uplift Maths: Om Sharma Sir

310 views - 8 months ago

Let the set of all relations 𝑅 on the set {𝑎,𝑏,𝑐,𝑑,𝑒,𝑓}, such that 𝑅 is reflexive and symmetric, and

Let the set of all relations 𝑅 on the set {𝑎,𝑏,𝑐,𝑑,𝑒,𝑓}, such that 𝑅 is reflexive and symmetric, and Uplift Maths: Om Sharma Sir

994 views - 8 months ago

Let ℝ denote the set of all real numbers. Let 𝑎𝑖,𝑏𝑖∈ℝ for 𝑖∈{1,2,3}.Define the functions 𝑓:ℝ→ℝ, 𝑔:ℝ→

Let ℝ denote the set of all real numbers. Let 𝑎𝑖,𝑏𝑖∈ℝ for 𝑖∈{1,2,3}.Define the functions 𝑓:ℝ→ℝ, 𝑔:ℝ→ Uplift Maths: Om Sharma Sir

1.7K views - 8 months ago

Let 𝐿1 be the line of intersection of the planes given by the equations 2𝑥+3𝑦+𝑧=4 and 𝑥+2𝑦+𝑧=5. Let

Let 𝐿1 be the line of intersection of the planes given by the equations 2𝑥+3𝑦+𝑧=4 and 𝑥+2𝑦+𝑧=5. Let Uplift Maths: Om Sharma Sir

569 views - 8 months ago

Consider the matrix 𝑃=( 2 0 0 0 2 0 0 0 3). Let the transpose of a matrix 𝑋 be denoted by 𝑋𝑇. Then

Consider the matrix 𝑃=( 2 0 0 0 2 0 0 0 3). Let the transpose of a matrix 𝑋 be denoted by 𝑋𝑇. Then Uplift Maths: Om Sharma Sir

804 views - 8 months ago

$let ℝ denote the set of all real numbers. Define the function 𝑓:ℝ→ℝ by 𝑓(𝑥)={2−2𝑥^2−𝑥^2sin1/𝑥 if 𝑥≠0$ 17:29

let ℝ denote the set of all real numbers. Define the function 𝑓:ℝ→ℝ by 𝑓(𝑥)={2−2𝑥^2−𝑥^2sin1/𝑥 if 𝑥≠0 Uplift Maths: Om Sharma Sir

1.2K views - 8 months ago

Three students 𝑆1,𝑆2 and 𝑆3 are given a problem to solve. Consider the following events:𝑈: At least

Three students 𝑆1,𝑆2 and 𝑆3 are given a problem to solve. Consider the following events:𝑈: At least Uplift Maths: Om Sharma Sir

1.1K views - 8 months ago

Consider a triangle Δ whose two sides lie on the x-axis and the line 𝑥+𝑦+1= 0. If the orthocenter

Consider a triangle Δ whose two sides lie on the x-axis and the line 𝑥+𝑦+1= 0. If the orthocenter Uplift Maths: Om Sharma Sir

1.1K views - 9 months ago

Let 𝑢⃗,𝑣⃗ and 𝑤⃗ be vectors in three-dimensional space, where 𝑢⃗ and 𝑣⃗ are unit vectors which are

Let 𝑢⃗,𝑣⃗ and 𝑤⃗ be vectors in three-dimensional space, where 𝑢⃗ and 𝑣⃗ are unit vectors which are Uplift Maths: Om Sharma Sir

440 views - 9 months ago

Let 𝜃1, 𝜃2, …... ,𝜃10 be positive valued angles (in radian) such that 𝜃1 + 𝜃2 + ⋯ + 𝜃10 = 2𝜋. Define

Let 𝜃1, 𝜃2, …... ,𝜃10 be positive valued angles (in radian) such that 𝜃1 + 𝜃2 + ⋯ + 𝜃10 = 2𝜋. Define Uplift Maths: Om Sharma Sir

856 views - 9 months ago

Consider the lines 𝐿1 and 𝐿2 defined by𝐿1: 𝑥√2 + 𝑦 − 1 = 0 and 𝐿2: 𝑥√2 − 𝑦 + 1 = 0 For a fixed const

Consider the lines 𝐿1 and 𝐿2 defined by𝐿1: 𝑥√2 + 𝑦 − 1 = 0 and 𝐿2: 𝑥√2 − 𝑦 + 1 = 0 For a fixed const Uplift Maths: Om Sharma Sir

1.3K views - 9 months ago

The area of the region {(𝑥, 𝑦) ∶ 0 ≤ 𝑥 ≤ 9/4, 0 ≤ 𝑦 ≤ 1, 𝑥 ≥ 3𝑦, 𝑥 + 𝑦 ≥ 2} is(A)11/32 (B)35/96

The area of the region {(𝑥, 𝑦) ∶ 0 ≤ 𝑥 ≤ 9/4, 0 ≤ 𝑦 ≤ 1, 𝑥 ≥ 3𝑦, 𝑥 + 𝑦 ≥ 2} is(A)11/32 (B)35/96 Uplift Maths: Om Sharma Sir

649 views - 9 months ago

In a triangle 𝐴𝐵𝐶, let 𝐴𝐵 = √23, 𝐵𝐶 = 3 and 𝐶𝐴 = 4. Then the value of cot 𝐴 + cot 𝐶 /cot 𝐵 is ___ .

In a triangle 𝐴𝐵𝐶, let 𝐴𝐵 = √23, 𝐵𝐶 = 3 and 𝐶𝐴 = 4. Then the value of cot 𝐴 + cot 𝐶 /cot 𝐵 is ___ . Uplift Maths: Om Sharma Sir

669 views - 9 months ago

Let 𝛼, 𝛽 and 𝛾 be real numbers such that the system of linear equations𝑥 + 2𝑦 + 3𝑧 = 𝛼, 4𝑥 + 5𝑦 + 6𝑧

Let 𝛼, 𝛽 and 𝛾 be real numbers such that the system of linear equations𝑥 + 2𝑦 + 3𝑧 = 𝛼, 4𝑥 + 5𝑦 + 6𝑧 Uplift Maths: Om Sharma Sir

849 views - 9 months ago

Three numbers are chosen at random, one after another with replacement, from the set 𝑆 = {1,2,3, … ,

Three numbers are chosen at random, one after another with replacement, from the set 𝑆 = {1,2,3, … , Uplift Maths: Om Sharma Sir

636 views - 9 months ago

Suppose that Box-I contains 8 red, 3 blue and 5 green balls, Box-II contains 24 red, 9 blue and 15

Suppose that Box-I contains 8 red, 3 blue and 5 green balls, Box-II contains 24 red, 9 blue and 15 Uplift Maths: Om Sharma Sir

971 views - 9 months ago

For positive integer 𝑛, define𝑓(𝑛) = 𝑛 +16 + 5𝑛 − 3𝑛^2/4𝑛 + 3𝑛^2 + 32 + 𝑛 − 3𝑛^2/8𝑛 + 3𝑛^2 + 48 − 3𝑛

For positive integer 𝑛, define𝑓(𝑛) = 𝑛 +16 + 5𝑛 − 3𝑛^2/4𝑛 + 3𝑛^2 + 32 + 𝑛 − 3𝑛^2/8𝑛 + 3𝑛^2 + 48 − 3𝑛 Uplift Maths: Om Sharma Sir

1.5K views - 9 months ago

If 𝑀 = (5/2 3/2 −3/2 −1/2), then which of the following matrices is equal to 𝑀^2022 ? (A) ( 3034

If 𝑀 = (5/2 3/2 −3/2 −1/2), then which of the following matrices is equal to 𝑀^2022 ? (A) ( 3034 Uplift Maths: Om Sharma Sir

874 views - 9 months ago

Consider 4 boxes, where each box contains 3 red balls and 2 blue balls. Assume that all 20 balls are

Consider 4 boxes, where each box contains 3 red balls and 2 blue balls. Assume that all 20 balls are Uplift Maths: Om Sharma Sir

1.6K views - 9 months ago

For 𝑥 ∈ ℝ, let the function 𝑦(𝑥) be the solution of the differential equation𝑑𝑦/𝑑𝑥+12𝑦 = cos (𝜋x/12)

For 𝑥 ∈ ℝ, let the function 𝑦(𝑥) be the solution of the differential equation𝑑𝑦/𝑑𝑥+12𝑦 = cos (𝜋x/12) Uplift Maths: Om Sharma Sir

987 views - 9 months ago

Let 𝑖̂, 𝑗̂ and 𝑘 ̂ be the unit vectors along the three positive coordinate axes. Let 𝑎⃗ = 3𝑖̂+ 𝑗̂−𝑘

Let 𝑖̂, 𝑗̂ and 𝑘 ̂ be the unit vectors along the three positive coordinate axes. Let 𝑎⃗ = 3𝑖̂+ 𝑗̂−𝑘 Uplift Maths: Om Sharma Sir

1.1K views - 9 months ago

Let 𝐺 be a circle of radius 𝑅 greater than 0. Let 𝐺1, 𝐺2,…, 𝐺𝑛 be 𝑛 circles of equal radius 𝑟 great

Let 𝐺 be a circle of radius 𝑅 greater than 0. Let 𝐺1, 𝐺2,…, 𝐺𝑛 be 𝑛 circles of equal radius 𝑟 great Uplift Maths: Om Sharma Sir

1.1K views - 9 months ago