ALGEBRA PYQs

JEE Algebra PYQs — chapter-wise practice with shortcuts

Complex numbers, quadratic equations, sequences, binomial theorem, matrices and determinants — every Algebra PYQ from 25+ years of JEE.

3,000+
Algebra PYQs
25+ yrs
Coverage
Shortcuts
Included
Free
Forever

Algebra is the silent rank-mover in JEE Maths. Most students underestimate it — and that's exactly where the highest-weightage, fastest-to-solve marks live.

This page collects every Algebra PYQ from JEE Main and JEE Advanced of the last 25+ years, with shortcuts, identities and the trap to avoid for each problem.

WHY IT WORKS

Built to move your JEE rank — not just to look pretty

Complex numbers PYQs

Modulus, argument, locus, nth roots of unity — all solved with diagrams.

Quadratic + cubic PYQs

Discriminant analysis, common roots, transformation of roots — step-by-step.

Sequences & series

AP, GP, AGP, summations and telescoping — every PYQ tagged.

Matrices & determinants

Properties, inverse, adjoint, system of equations — exam-tested.

HOW TO USE

Get going in under 60 seconds

  1. 1

    Start with quadratic + sequences

    Highest yield, fastest to solve — natural confidence builders.

  2. 2

    Move to complex numbers

    Build geometric intuition with locus and rotation problems.

  3. 3

    Finish with matrices + binomial

    Quick-marks chapter — solve PYQs back to back.

SAMPLES

A taste of what's inside

Quadratic — JEE Main 2022

Find range of k for which x³ − 3x + k has 3 distinct real roots. (Sign analysis on f'(x).)

Complex — JEE Advanced 2023

If |z − 2| = |z − 4|, find locus of z. (Perpendicular bisector approach.)
LOVED BY ASPIRANTS

What students are saying

Algebra PYQs were the easiest 30 marks of my JEE Main attempt.
Devansh A.
JEE 2026
FAQ

Frequently asked

What does Algebra PYQ practice cover?

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Complex numbers, quadratic equations, sequences and series, permutations and combinations, binomial theorem, matrices and determinants — all from 25+ years of JEE Main and Advanced.

How many Algebra PYQs are available?

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3,000+ Algebra PYQs, all chapter-tagged with step-by-step solutions and shortcuts.

Which Algebra topics carry highest weightage?

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Complex numbers, sequences-series and matrices/determinants typically contribute 4–6 marks every JEE Main attempt and feature heavily in JEE Advanced too.

Are shortcuts shown for Algebra PYQs?

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Yes — every solution shows the textbook approach and the exam-day shortcut side by side.

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