Qus : 2 NIMCET PYQ 2020 1 Angle of elevation of the top of the tower from 3
points (collinear) A, B and C on a road leading to the
foot of the tower are 30°, 45° and 60°, respectively.
The ratio of AB and BC is
1 √ ( 3 ) : 1 2 √ ( 3 ) : 2 3 1 : √ ( 3 ) 4 2 : √ ( 3 ) Go to Discussion NIMCET Previous Year PYQ NIMCET NIMCET 2020 PYQ Solution According to the given information, the figure should be as follows.
Let the height of tower = h
Qus : 6 NIMCET PYQ 2019 2 If A > 0, B > 0 and A + B = π 6 , then the minimum value of t a n A + t a n B
1 √ 3 − √ 2
2 √ 3 − 2 √ 3 3 2 √ 3 4 √ 2 − √ 3 Go to Discussion NIMCET Previous Year PYQ NIMCET NIMCET 2019 PYQ Solution On differentiating x= tanA + tan(π/6-A)
we get :
dx/dA = sec²A-sec²(π/6-A)
now putting
dx/dA=0
we get
cos²(A) = cos²(π/6-A) so 0≤A≤π/6
therefore
A=π/6-A from here we get A = π/12 = B
so minimum value of that function is
2tanπ/12 which is equal to 2(2-√3)
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