This chapter is currently out of syllabus
1
JEE Main 2021 (Online) 26th August Evening Shift
+4
-1
Out of Syllabus
A 10 inches long pencil AB with mid point C and a small eraser P are placed on the horizontal top of a table such that PC = $$\sqrt 5$$ inches and $$\angle$$PCB = tan-1(2). The acute angle through which the pencil must be rotated about C so that the perpendicular distance between eraser and pencil becomes exactly 1 inch is :

A
$${\tan ^{ - 1}}\left( {{3 \over 4}} \right)$$
B
tan$$-$$1(1)
C
$${\tan ^{ - 1}}\left( {{4 \over 3}} \right)$$
D
$${\tan ^{ - 1}}\left( {{1 \over 2}} \right)$$
2
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
$$8(\sqrt 6 - \sqrt 2 + 2)$$
3
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
$${{\sqrt 5 - 1} \over 4}$$
4
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
$${{{2\sqrt 3 } \over 3}}$$
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