This chapter is currently out of syllabus
1
JEE Main 2021 (Online) 25th July Morning Shift
+4
-1
Out of Syllabus
A spherical gas balloon of radius 16 meter subtends an angle 60$$^\circ$$ at the eye of the observer A while the angle of elevation of its center from the eye of A is 75$$^\circ$$. Then the height (in meter) of the top most point of the balloon from the level of the observer's eye is :
A
$$8(2 + 2\sqrt 3 + \sqrt 2 )$$
B
$$8(\sqrt 6 + \sqrt 2 + 2)$$
C
$$8(\sqrt 2 + 2 + \sqrt 3 )$$
D
$$8(\sqrt 6 - \sqrt 2 + 2)$$
2
JEE Main 2021 (Online) 20th July Evening Shift
+4
-1
Out of Syllabus
Let in a right angled triangle, the smallest angle be $$\theta$$. If a triangle formed by taking the reciprocal of its sides is also a right angled triangle, then sin$$\theta$$ is equal to :
A
$${{\sqrt 5 + 1} \over 4}$$
B
$${{\sqrt 5 - 1} \over 2}$$
C
$${{\sqrt 2 - 1} \over 2}$$
D
$${{\sqrt 5 - 1} \over 4}$$
3
JEE Main 2021 (Online) 18th March Evening Shift
+4
-1
Out of Syllabus
A pole stands vertically inside a triangular park ABC. Let the angle of elevation of the top of the pole from each corner of the park be $${\pi \over 3}$$. If the radius of the circumcircle of $$\Delta$$ABC is 2, then the height of the pole is equal to :
A
$${{1 \over {\sqrt 3 }}}$$
B
2$${\sqrt 3 }$$
C
$${\sqrt 3 }$$
D
$${{{2\sqrt 3 } \over 3}}$$
4
JEE Main 2021 (Online) 25th February Morning Shift
+4
-1
Out of Syllabus
A man is observing, from the top of a tower, a boat speeding towards the lower from a certain point A, with uniform speed. At that point, angle of depression of the boat with the man's eye is 30$$^\circ$$ (Ignore man's height). After sailing for 20 seconds, towards the base of the tower (which is at the level of water), the boat has reached a point B, where the angle of depression is 45$$^\circ$$. Then the time taken (in seconds) by the boat from B to reach the base of the tower is :
A
$$10(\sqrt 3 + 1)$$
B
$$10(\sqrt 3 - 1)$$
C
10
D
$$10\sqrt 3$$
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