1
JEE Main 2025 (Online) 29th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Two projectiles are fired with same initial speed from same point on ground at angles of $(45^\circ - \alpha)$ and $(45^\circ + \alpha)$, respectively, with the horizontal direction. The ratio of their maximum heights attained is :
A

$ \frac{1+\sin\alpha}{1-\sin\alpha} $

B

$ \frac{1+\sin2\alpha}{1-\sin2\alpha} $

C

$ \frac{1-\tan\alpha}{1+\tan\alpha} $

D

$ \frac{1-\sin2\alpha}{1+\sin2\alpha} $

2
JEE Main 2024 (Online) 8th April Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The angle of projection for a projectile to have same horizontal range and maximum height is :

A
$$\tan ^{-1}\left(\frac{1}{2}\right)$$
B
$$\tan ^{-1}(2)$$
C
$$\tan ^{-1}\left(\frac{1}{4}\right)$$
D
$$\tan ^{-1}(4)$$
3
JEE Main 2024 (Online) 4th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The co-ordinates of a particle moving in $$x$$-$$y$$ plane are given by : $$x=2+4 \mathrm{t}, y=3 \mathrm{t}+8 \mathrm{t}^2$$.

The motion of the particle is :

A
uniform motion along a straight line.
B
non-uniformly accelerated.
C
uniformly accelerated having motion along a straight line.
D
uniformly accelerated having motion along a parabolic path.
4
JEE Main 2024 (Online) 30th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Projectiles A and B are thrown at angles of $$45^{\circ}$$ and $$60^{\circ}$$ with vertical respectively from top of a $$400 \mathrm{~m}$$ high tower. If their ranges and times of flight are same, the ratio of their speeds of projection $$v_A: v_B$$ is :

[Take $$g=10 \mathrm{~ms}^{-2}$$]

A
$$1: 2$$
B
$$\sqrt{2}: 1$$
C
$$1: \sqrt{2}$$
D
$$1: \sqrt{3}$$
JEE Main Subjects
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12