Is there a free demo class available?

Yes — the first class is completely free with no obligation. Simply WhatsApp +91 7601047556 to book your slot.

How many students are in each batch?

We offer 3 batch sizes: 3-student (near-private), 6-student (balanced), and 9-student (group setting). Each batch has just one slot available.

f(x+h)−f(x) sin²θ + cos²θ = 1 z = a + bi ⁿCᵣ = n! / r!(n−r)!

IIT Hyderabad × Summer 2026

Class 11 and 12 Maths Foundation
Summer Program

Q: Which topics are covered in this Class 11 Maths Summer Program?

The 8-week program covers: Sets & Relations, Functions & Graphs, Advanced Trigonometry (Identities & Equations), Complex Numbers, Quadratic Equations, Sequences & Series, Binomial Theorem, Permutations, Combinations & Probability, Coordinate Geometry (Lines & Conics), and an introduction to Limits, Derivatives & Vectors.

Sets · Functions · Trigonometry · Complex Numbers · Sequences · Co-ordinate Geometry · Calculus Intro · 8 Weeks · Online · Small batches

8-week intensive program to build complete command over Class 11 Maths — so boards, JEE, and every exam that follows feels manageable.

📐 Trig Identities & Equations 🔢 Complex Numbers 📈 Sequences & Series 👥 Max 9 Students / Batch ✅ Free Demo Class

Total Seats Available 18 3 batches · 1 slot each · filling fast

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💬 Book Free Demo Class Try These Problems ↓

No payment · Free first class · Instant WhatsApp reply

Can You Solve These?

These Are Real Class 11 Questions
Most Students Get Wrong

Try them honestly — no peeking

Straight from topics we cover in this program. If even two of these stump you, this Summer Program was built for you.

Q.01 🔗 Sets & Relations Week 1

Let A = {1, 2, 3, 4} and R be a relation on A defined by:

R = {(a, b) : b = a + 1}

Is R reflexive? Symmetric? Transitive?
Justify each answer with a counterexample.

💡 Hint: Check each property definition carefully. For transitive, try to find (a,b) ∈ R and (b,c) ∈ R — does (a,c) ∈ R follow?

Not reflexive · Not symmetric · Not transitive

(1,1) ∉ R (not reflexive) · (1,2)∈R but (2,1)∉R (not symmetric) · (1,2),(2,3)∈R but (1,3)∉R (not transitive)

Sets & Relations is the foundation of all Class 11 Maths. We spend Week 1 making this crystal clear.

Q.02 📊 Functions & Graphs Week 2

Find the domain of:

f(x) = 1√(x² − 5x + 6)

Then check if f is one-one and onto.

💡 Hint: For domain: the expression inside √ must be > 0 (strict, since it's in denominator). Factorise x² − 5x + 6.

Domain: (−∞, 2) ∪ (3, ∞)

x² − 5x + 6 = (x−2)(x−3) > 0 → x < 2 or x > 3. Not onto onto ℝ.

Advanced functions with domain, range, and graph sketching — all covered in Week 2.

Q.03 📐 Trigonometry Week 3

Prove that:

cos 3x = 4cos³x − 3cosx

Then find the exact value of:
cos 20° × cos 40° × cos 80° = ?

💡 Hint: Expand cos(2x + x) using addition formula. For the product — substitute x = 20° into the identity you just proved.

cos 20° × cos 40° × cos 80° = 1/8

Multiply both sides by sin 20° and use sin 3θ = 3sinθ − 4sin³θ

This product question appeared in JEE Mains 2023. We cover the full method in Week 3 — Trig Identities & Equations.

Q.04 🔢 Complex Numbers Week 4

If z = (1 + i)/(1 − i), find z⁴.

Also solve: x² + x + 1 = 0 and express roots in a + bi form.

💡 Hint: Multiply numerator and denominator by the conjugate (1 + i). Then z = i. What is i⁴?

z = i → z⁴ = 1 · Roots: −½ ± (√3/2)i

Quadratic formula with negative discriminant gives complex roots — Week 4 topic.

Complex numbers + quadratic equations covered together in Week 4 — they are deeply connected.

Q.05 📈 Sequences & Series Week 5

The sum of first n terms is:

S_n = 3n² + 5n

Find T_n. Is the series an AP? If yes, find first term and common difference.

💡 Hint: T_n = S_n − S_n−1 for n ≥ 2. Always check T₁ = S₁ separately.

T_n = 6n + 2 · Yes, AP with a = 8, d = 6

This S_n → T_n shortcut saves 2 mins in the exam. Taught in Week 5 along with Binomial.

Most students guess the formula and lose all 4 marks. We teach the guaranteed method in Week 5.

Q.06 🎲 Permutation & Probability Week 6

A fair coin is tossed 5 times.

Find the probability of getting at least 3 heads.

Now given the first toss was heads, what's the probability of getting at least 3 heads total?

💡 Hint: Part 1: list favourable outcomes using ⁵C₃ + ⁵C₄ + ⁵C₅. Part 2 uses conditional probability — sample space reduces.

At least 3 heads: 1/2 · Given first = H: 11/16

Part 2 catches almost everyone — sample space shrinks from 32 to 16 outcomes.

Permutation, combination and probability — taught together in Week 6 with 6 different question types.

Couldn't solve 2 or more? That's exactly why this program exists.

In 8 weeks, you will be the student who solves all 6 — and the harder ones too. IIT Hyderabad mentors. Small batches. Free demo to start. No risk.

💬 I Want to Learn This →

The Real Problem

Where Class 11 Students Actually Get Stuck

📊

Based on teaching 500+ Class 11 students, these are the exact 6 places where most students silently lose marks — not because they're not smart, but because no one showed them the right way to think about it.

📐 Trigonometry 73%

Memorising identities without knowing when to use which

Students cram 20+ trig identities but freeze in exams because they never built a mental map of which identity unlocks which type of problem.

✗Trying random identities hoping one works
✗Forgetting the double angle formula under pressure
✗Not recognising cos 3x = 4cos³x − 3cos x form

We teach a 3-step recognition framework. Any trig question — you identify the pattern first, then apply.

📊 Functions 68%

Confusing domain, range, one-one and onto — all four at once

Functions have 4 properties students must check simultaneously. Most mix them up or only partially solve, losing partial marks even when they know the concept.

✗Writing domain without checking denominator AND under root
✗Claiming "onto" without actually proving codomain = range
✗Skipping the horizontal line test for one-one

We use a 4-box checklist for every function problem. No step gets missed, no mark gets lost.

🔢 Complex Numbers 61%

The powers of i — and the algebra of conjugates — trip everyone up

Complex numbers feel abstract until you see the geometry. Students who only do algebra get lost when the question mixes modulus, argument, and conjugate in one go.

✗Computing i⁵² by multiplying out (instead of mod 4 trick)
✗Forgetting to rationalise by multiplying with conjugate
✗Sign errors in (a+bi)(a−bi) = a² + b² (not a² − b²)

We connect every algebraic rule to its Argand plane picture. Once you see it geometrically, errors vanish.

📈 Sequences 79%

The Sₙ → Tₙ trap — most students lose all 4 marks here

When asked to find the nth term from a sum formula, students skip the n=1 check. This one oversight causes a completely wrong answer with zero marks.

✗Using Tₙ = Sₙ − Sₙ₋₁ without verifying n=1 separately
✗Not confirming the series is actually an AP after finding Tₙ
✗Confusing "first term" with T₁ vs the given a

We drill the 3-line method: find Tₙ, verify T₁ = S₁, then conclude AP/GP. Takes 90 seconds, guarantees full marks.

🎲 Permutations 82%

Overcounting (or undercounting) in arrangement problems

Permutation and Combination is the chapter where students most confidently write a wrong answer. The logic feels correct but the counting is off — usually by a factor of 2 or more.

✗Using nPr when the question needs nCr (or vice versa)
✗Not fixing identical objects — treating them as distinct
✗Forgetting the "complementary counting" shortcut for "at least/at most"

We use the ODAI framework (Order? Distinct? Arrangement? Identical?) before touching any P&C problem. Confidence goes up immediately.

⚠ The Hidden One 91%

Weak Class 10 base — and students don't even know it

91% of struggling Class 11 students have a gap in basic algebra, factorisation, or co-ordinate geometry from Class 10 — and it silently blocks every new topic they try to learn.

→Struggling with trig? Often it's weak quadratic solving
→Struggling with functions? Often it's unclear graph intuition
→Struggling with sequences? Often it's weak algebraic manipulation

Week 1 of the program includes a targeted base-repair session. We find the gap and close it before moving forward.

8-Week Roadmap

Your Week-by-Week Journey

Every topic builds on the previous. No gaps. No skipping. Just a solid foundation from Week 1 to Week 8.

Month 1

Foundation Building

Week 1

Sets, Relations + Functions (Basics)

Types of sets, Venn diagrams, relations, domain & range, types of functions

Week 2

Advanced Functions + Graphs & Identities

Composite functions, inverse functions, graph transformations, key identities

Week 3

Trigonometry — Identities + Equations 73% struggle here

All major trig identities, multiple angle formulas, solving trig equations

Week 4

Complex Numbers + Quadratic Equations

Algebra of complex numbers, Argand plane, nature of roots, sum/product of roots

Month 2

Application + Advanced

Week 5

Sequences & Series + Binomial Theorem 79% lose marks

AP, GP, special series, Binomial expansion, general term, middle term

Week 6

Permutations, Combinations + Probability 82% get this wrong

Counting principles, nPr, nCr, conditional probability, basic probability theorems

Week 7

Co-ordinate Geometry — Lines + Conics (Basics)

Straight lines, circles, parabola, ellipse and hyperbola introduction

Week 8

Limits, Derivatives + Vectors & Intro to 3D

Basic limits, first principle of derivatives, vector basics, direction cosines intro

Student Results

Real Success Stories

From "I hate Maths" to board toppers and JEE qualifiers — in one summer.

★★★★★

Went from 45 to 85 in Class 11 Maths in just 2 months. The way each concept was built from scratch made everything click — something a whole year of school couldn't do.

Rahul S.

Class 11 Student

📈 45 → 85 in 2 months

★★★★★

Sarthak sir never lets you memorise formulas. He makes you understand the "why." I finally stopped being scared of Maths and started enjoying it.

Priya M.

Class 11 Student

🎯 90+ in Class 11 Finals

★★★★★

Cleared JEE Main 94 percentile. The foundation this summer program gave me was something my coaching institute never built. Especially Trig and Functions.

Amit K.

JEE Main 2025

🏆 JEE Main 94 Percentile

Batch Investment

Choose Your Batch Size

All batches cover identical 8-week curriculum. Smaller batch = more personal attention. Only 1 batch slot available per size.

3-Student Batch

Maximum attention — nearly private tutoring

^₹25,000

per student · 8 weeks

1 batch slot only

✦Near-private mentoring from IIT faculty
✦Custom pacing to your exact level
✦All study material included
✦Weekly mock tests + personal review

Enquire on WhatsApp →

Class 11 and 12 Maths FoundationSummer Program

These Are Real Class 11 QuestionsMost Students Get Wrong

Where Class 11 Students Actually Get Stuck

Foundation Building

Application + Advanced

Claim Your Free Demo

Class 11 and 12 Maths Foundation
Summer Program

These Are Real Class 11 Questions
Most Students Get Wrong