1
JEE Main 2019 (Online) 10th January Morning Slot
+4
-1
Two guns A and B can fire bullets at speeds 1 km/s and 2 km/s respectively. From a point on a horizontal ground, they are fired in all possible directions. The ratio of maximum areas covered by the bullets fired by the two guns, on the ground is -
A
1 : 16
B
1 : 8
C
1 : 2
D
1 : 4
2
JEE Main 2019 (Online) 9th January Evening Slot
+4
-1
In a car race on straight road, car A takes a time t less than car B at the finish and passes finishing point with a speed '$$\upsilon$$' more than that of car B. Both the cars start from rest and travel with constant acceleration a1 and a2 respectively. Then '$$\upsilon$$' is equal to :
A
$${{2{a_1}{a_2}} \over {{a_1} + {a_2}}}t$$
B
$$\sqrt {2{a_1}{a_2}} t$$
C
$$\sqrt {{a_1}{a_2}} t$$
D
$${{{a_1} + {a_2}} \over 2}t$$
3
JEE Main 2019 (Online) 9th January Evening Slot
+4
-1
The position co-ordinates of a particle moving in a 3-D coordinate system is given by
x = a cos$$\omega$$t
y = a sin$$\omega$$t and
z = a$$\omega$$t

The speed of the particle is :
A
$$\sqrt 2 \,a\omega$$
B
$$a\omega$$
C
$$\sqrt 3 \,a\omega$$
D
2a$$\omega$$
4
JEE Main 2019 (Online) 9th January Morning Slot
+4
-1
A particle is moving with a velocity

$$\overrightarrow v \, = K(y\widehat i + x\widehat j),$$ where K is a constant.

The general equation for its path is :
A
y = x2 + constant
B
y2 = x + constant
C
y2 = x2 + constant
D
xy = constant
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