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JEE Main
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Mathematics
List of top Mathematics Questions asked in JEE Main
If solution of differential equation xdy - ydx = xy(xdy - ydx) and y(1) = 1 is α|y| = |x|e
(xy - β)
then (α + β) is equal to
JEE Main
Mathematics
Derivatives
A triangle is drawn inside a bounded region of y
2
= 2x and x = 24. Then maximum area of triangle is
JEE Main
Mathematics
Triangles
Bag X contains five one-rupee coins, four five rupee coins. Bag Y contains 4 one rupee and 5 five rupees. Bag Z contains 3 one-rupee coins and 6 five rupee coins. If 1 rupee coin is selected at random, what is the probability it is drawn from bag Y?
JEE Main
Mathematics
Probability
A circle x
2
+ y
2
= 8 and a parabola y
2
= 2x are given. Find area bounded by these two curves in first quadrant which lie inside the circle and outside the parabola.
JEE Main
Mathematics
Parabola
Two points (5, 2) and (2, a). Line passes through these points makes an angle of π/4 at origin. The product of all values of a is equal to
JEE Main
Mathematics
Lines and Angles
,Then the sum of elements of 10th row.
JEE Main
Mathematics
mathematical reasoning
Number of 5 letters words made from the word “MATHEMATICS” is equal to
JEE Main
Mathematics
permutations and combinations
3 blue balls and 4 yellow balls are in a box. 3 balls are drawn at random. Let variance and mean be X & Y respectively then value of 3X + 4Y is:
JEE Main
Mathematics
Statistics
The area bounded by y = min{sin x, cos x} and x-axis in -π ≤ x ≤ π interval is equal to (in sq. units):
JEE Main
Mathematics
Area under Simple Curves
if
\(y=\int\frac{e^{\tan x}dx}{\cos^2x(1+e^{2\tan x})}\)
and y(0)=6 then y
\(\frac{\pi}{4}\)
is equal to
JEE Main
Mathematics
integral
R = (a, b) : a + 5b = 42 and a, b ∈ N has m elements and
\(\sum\limits_{n=1}^{m}(1+i^{n!})\)
= x + iy (where i = √-1). Find x + y + m.
JEE Main
Mathematics
Algebra of Complex Numbers
If C1: (x-α)
2
+(y-β)
2
=r
1
2
, c
2
: (x-6)
2
+ (y - 15/2)
2
= r
2
2
touches each other at (6, 6). If line joining centres of c
1
& C
2
is divided by (6, 6) in 2: 1 internally, then (α + β) + 4(r
1
2
+r
2
2
) is equal to:
JEE Main
Mathematics
circle
Let f(x) = cosx - x + 1, x ∈ [0,π], then
JEE Main
Mathematics
Relations and functions
\(\lim\limits_{n\rightarrow \infin}\frac{\sum(n^4-2n^3+n^2)}{\sum ((3n)^4+n^3-n^2)}\)
is equal to
JEE Main
Mathematics
Limits
If the orthocentre of triangle formed by (8, 3), (5, 1) and (h, k) is (6, 1), then (h, k) lie on
JEE Main
Mathematics
Coordinate Geometry
The locus of P such that the ratio of distance P from A(3, 1) and B(1, 2) is 5 : 4 is
JEE Main
Mathematics
Coordinate Geometry
Sides of a triangle are AB = 9, BC = 7, AC = 8. Then cos 3C equals to
JEE Main
Mathematics
Triangles
If α, ß are the roots of the equation x
2
- √2 x - 8 = 0 and A
n
= α
n
+ ß
n
, n ∈ N, then the value of (A
10
- √2A
9
) / 2A
8
JEE Main
Mathematics
Quadratic Equations
Find the range of
\(\frac{1}{7}-\sin5x\)
JEE Main
Mathematics
complex numbers
If
\(\int\frac{dx}{a^2\sin x+b^2\cos^2x}=\frac{1}{12}\tan^{-1}(3\tan x)+c,\)
then the maximum value of a sinx + bcosx is____
JEE Main
Mathematics
Integration by Parts
Let: $\vec{a}=\hat{i}+2 \hat{j}+3 \hat{k}, \vec{b}=\hat{i}-\hat{j}+2 \hat{k}$ and $\vec{c}=5 \hat{i}-3 \hat{j}+3 \hat{k}$ be there vectors If $\vec{r}$ is a vector such that, $\vec{r} \times \vec{b}=\vec{c} \times \vec{b}$ and $\vec{r} \cdot \vec{a}=0$, then $25|\vec{r}|^2$ is equal to
JEE Main
Mathematics
Vector Algebra
The 50
th
word in the dictionary using the letters B, B, H, J, O is:
JEE Main
Mathematics
permutations and combinations
The number of real solution x|x + 5| + 2|x + 7| - 2 = 0 is
JEE Main
Mathematics
Polynomials
In group A there are 4 men and 5 women and in group B there are 5 men and 4 women, if 4 people are selected from each group. Find a number of ways to select 4 men and 4 women.
JEE Main
Mathematics
permutations and combinations
If $f(x)= x^5 + 2x^3 + 3x + 1$ and $g(f(x)) = x,$ then $\frac{g(1)}{g’(1)}$ is equal to
JEE Main
Mathematics
composite of functions
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