22 September

JEE MAIN 2020

JEE MAIN 2020

Mathematics Syllabus

Sets, Relations and Functions, Matrices, Determinants, Complex Numbers, Quadratic Equations, Binomial Theorem, Mathematical Induction, Limit, Sequences, Series,Permutations and Combinations, Differential Equations, Integral Calculus, Continuity and Differentiability, Three Dimensional Geometry, Co-ordinate Geometry, Statistics, Probability, Vector Algebra, Mathematical Reasoning and Trigonometry.

19 September

01 September

Prove that two mutually perpendicular tangent of the parabola y^2=4ax meet the axis at P1 and P2 . If S is the focus of the parabola , then 1/SP1 + 1/SP2 = 1/a

Prove that two mutually perpendicular tangent of the parabola y^2=4ax meet the axis at P1 and P2 . If S is the focus of the parabola , then 1/SP1 + 1/SP2 = 1/a

26 July

Prove that log2 to the base 10 is greater than 0.3

We know ,       1024 > 1000
2^10 > 10^3
log 2^10 > log 10^3  (taking log both sides)
10 log 2 > 3 log 10
10 log 2 > 3  ( since log 10 = 1)
log 2 > 0.3

17 July

18 June

What is the value of x in log2^8 – log2^4 = log2^x ?

Sollog2^8 - log2^4 = log2^x
=>8log2 - 4log2 = xlog2
=>4log2 = xlog2
=>x = 4

17 June