1
JEE Main 2019 (Online) 10th January Evening Slot
+4
-1
A helicopter is flying along the curve given by y – x3/2 = 7, (x $$\ge$$ 0). A soldier positioned at the point $$\left( {{1 \over 2},7} \right)$$ wants to shoot down the helicopter when it is nearest to him. Then this nearest distance is -
A
$${1 \over 6}\sqrt {{7 \over 3}}$$
B
$${{\sqrt 5 } \over 6}$$
C
$${1 \over 2}$$
D
$${1 \over 3}$$$$\sqrt {{7 \over 3}}$$
2
JEE Main 2019 (Online) 10th January Morning Slot
+4
-1
The shortest distance between the point  $$\left( {{3 \over 2},0} \right)$$   and the curve y = $$\sqrt x$$, (x > 0), is -
A
$${{\sqrt 3 } \over 2}$$
B
$${5 \over 4}$$
C
$${3 \over 2}$$
D
$${{\sqrt 5 } \over 2}$$
3
JEE Main 2019 (Online) 9th January Morning Slot
+4
-1
The maximum volume (in cu.m) of the right circular cone having slant height 3 m is :
A
2$$\sqrt3$$$$\pi$$
B
3$$\sqrt3$$$$\pi$$
C
6$$\pi$$
D
$${4 \over 3}\pi$$
4
JEE Main 2018 (Online) 16th April Morning Slot
+4
-1
Let M and m be respectively the absolute maximum and the absolute minimum values of the function, f(x) = 2x3 $$-$$ 9x2 + 12x + 5 in the interval [0, 3]. Then M $$-$$m is equal to :
A
5
B
9
C
4
D
1
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