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Let f(x) be a quadratic polynomial such that f(-1) f(2) = 0. If one of the roots of f(x) is 3, then its other root lies in: [IIT JEE MAINS2020] Options: (A) (0, 1) (B) (1, 3) (C) (-1, 0) (D) (-3, -1) #maths #iit #iitjee #quadraticequations #iitjeemaths #tricks #pyq #iitjeemathematics #problemsolving

The number of real roots of the equation, e^4x e^3x - 4e^2x e^x 1 = 0 is: [IIT JEE MAINS 2020] Options: (A) 1 (B) 3 (C) 2 (D) 4 #iit #iitjee #maths #problemsolving #iitjeemaths #quadraticequations #tricks

Statistics : Variance of ungrouped data shortcut formula.

TO FIND PROBABILITY.

IIT JEE Mains PYQ Topic - Trigonometry

Concept used : [1] : Diagonals of a rhombus bisect each other at right angles. [2] : Pythagoras Theorem [ h^2 = b^2 p^2 ]. [3] : Each angle of an equilateral triangle is 60°. [4] : Opposite angles of two equal sides of a triangle are equal.

Formula used : 1. a^(b^c) = a^(bc) 2. nth root of a = a^(1/n)

logarithm property : a^(log b) = b^(log a)

logarithm log mn = log m log n