1
JEE Main 2022 (Online) 24th June Morning Shift
+4
-1

The surface area of a balloon of spherical shape being inflated, increases at a constant rate. If initially, the radius of balloon is 3 units and after 5 seconds, it becomes 7 units, then its radius after 9 seconds is :

A
9
B
10
C
11
D
12
2
JEE Main 2022 (Online) 24th June Morning Shift
+4
-1

If the tangent at the point (x1, y1) on the curve $$y = {x^3} + 3{x^2} + 5$$ passes through the origin, then (x1, y1) does NOT lie on the curve :

A
$${x^2} + {{{y^2}} \over {81}} = 2$$
B
$${{{y^2}} \over 9} - {x^2} = 8$$
C
$$y = 4{x^2} + 5$$
D
$${x \over 3} - {y^2} = 2$$
3
JEE Main 2022 (Online) 24th June Morning Shift
+4
-1

Let $$\lambda x - 2y = \mu$$ be a tangent to the hyperbola $${a^2}{x^2} - {y^2} = {b^2}$$. Then $${\left( {{\lambda \over a}} \right)^2} - {\left( {{\mu \over b}} \right)^2}$$ is equal to :

A
$$-$$2
B
$$-$$4
C
2
D
4
4
JEE Main 2021 (Online) 31st August Morning Shift
+4
-1
The number of real roots of the equation

$${e^{4x}} + 2{e^{3x}} - {e^x} - 6 = 0$$ is :
A
2
B
4
C
1
D
0
JEE Main Subjects
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Coordinate Geometry
Calculus
EXAM MAP
Joint Entrance Examination