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JEE Advanced (IIT-JEE)

Algebra

No official chapter weightage

Complex numbers, quadratic equations, progressions, logarithms, permutations and combinations, and the binomial theorem.

x=−b±b2−4ac2a,∣z1+z2∣≤∣z1∣+∣z2∣,1+ω+ω2=0x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}, \quad |z_1 + z_2| \le |z_1| + |z_2|, \quad 1 + \omega + \omega^2 = 0

What this unit covers

  • Complex numbers: conjugate, modulus, polar form, triangle inequality, cube roots of unity

  • Quadratic equations with real coefficients; relations between roots and coefficients

  • Arithmetic and geometric progressions; sums of squares and cubes of the first n natural numbers

  • Logarithms; permutations and combinations; binomial theorem for a positive integral index

Other units in JEE Advanced (IIT-JEE)