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JEE Questions for Maths Trigonometric Ldentities And Equations Quiz 23 - MCQExams.com
JEE
Maths
Trigonometric Ldentities And Equations
Quiz 23
A man from the top of a 100 metres high tower sees a car moving towards the tower at an angle of depression of 3O
o
. After some time, the angle of depression becomes 60°. The distance (in metres) travelled by the car during the time is
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The angular depressions of the top and the foot of a chimney as seen from the top of a second chimney, which is 150 m high and standing on the same level as the first are θ and ϕ respectively, then the distance between their tops when tan θ = 4/3 and tan ϕ = 5/2 , is
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2)
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150 m
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100 m
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c and d
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b only
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d only
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None of these
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a and c
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b only
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d only
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c only
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b and c
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c only
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d only
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a only
Internal bisector of ∠A of triangle ABC meets side BC at D. A line drawn through D perpendicular to AD intersects the side AC at E and the ide AB at F. If a, b, c represent sides of ∆ABC then
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a and b
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b only
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a, b and c
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a, b, c and d
In a triangle, the lengths of the two larger sides are 10 and 9, respectively. If the angles are in A.P., then the length of the third side can be
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a and d
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b only
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c only
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d only
There exist a triangle ABC satisfying the conditions
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a and d
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d only
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c only
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a only
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7
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1
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2
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4
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1
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2
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3
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4
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1
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3
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4
Consider a triangle ABC and let a, b and c denote the lengths of the sides opposite to vertices A, B and C respectively. Suppose a = 6, b = 10 and the area of the triangle is 15√3. If ∠ABC is obtuse and if r denotes the radius of the incircle of the triangle, then r
2
is equal to
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1
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2
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3
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4
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None of these
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2)
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0%
None of these
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2)
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0%
None of these
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a and b
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b only
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d only
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c only
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2)
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0%
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0
0%
1
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2
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3
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4
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8
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10
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12
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2)
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2)
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Equilateral
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Isosceles
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Right angled
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Right angled isosceles
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2)
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2)
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ch of the following pieces of data does not uniquely determine an acute angled ∆ABC (R = circum-radius)
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2)
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0%
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20 m
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40 m
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60 m
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80 m
A spherical balloon of radius r subtends an angle α at the eye of an observer. If the angle of elevation of the centre of the balloon be β. The height of the centre of the balloon is
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A tower AB leans towards west making an angle α with the vertical. The angular elevation of B, the top most point of the tower is β as observed from a point C due east of A at a distance d from A. If the angular elevation of B from a point D due east of C at a distance 2d from C is γ, then 2 tanα can be given as
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2)
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There exists a triangle ABC satisfying the conditions
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b
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None of these
The sides BC, CA and AB of a triangle ABC are of lengths a, b and c respectively. If D is the mid-point of BC and AD is perpendicular to AC, then the value of cos A cos C is
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The angle of elevation of the top of a hill from a point is α. After walking b meters towards the top up a slope inclined at an angle β to the horizontal, the angle of elevation of the top becomes γ. Then the height of the hill is
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2)
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[1, 2]
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[2, 3]
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[3, 4]
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[4, 5]
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