CAREER POINT
PRACTICE WORKJEE (Mains)SUB : MATH
TRIGONOMETRICAL EQUIATIONS & INVERSE CIRCULAR FUNCTIONS
1.The equation where has [AIEEE-2002]
(a) a unique solution
(b) infinite number of solutions
(c) no solution
(d) None of the above2.The upper portion of a vertical pole
subtends an angle at a point in the horizontal plane through its
foot and at a distance 40 m from the foot. A possible height of the
vertical pole is [AIEEE- 2002]
(a) 20 m
(b) 40 m
(c) 60 m
(d) 80 m
3.
is equal to
[AIEEE-2002]
(a)
(b)
(c)
(d)
4.
then sin x is equal to [AIEEE-2002]
(a)
(b)
(c) tan (
(d)
5. The trigonometric equation sin x = 2 sin a, has a solution
for [AIEEE-2003]
(a)
(b) all real values of a
(c)
(d)
6.AB is a vertical pole with B at the ground level and A at the
top. A man finds that the angle of elevation of the point A from a
certain point C on the ground is 600. He moves away from the pole
along the line BC to a point D such that CD = 7 m. From D the angle
of elevation of the point A is 450. Then the height of the pole
is
[AIEEE- 2004]
(a)
(b)
(c)
(d)
7.A person standing on the bank of a river, observes that the
angle of elevation of the top of a tree on the opposite bank of the
river is 600 and when he retires 40 m away from the tree the angle
of elevation becomes 300. The breadth of the river is
[AIEEE- 2004]
(a) 20 m
(b) 30 m
(c) 40 m
(d) 60 m
8.A tower stands at a centre of a circular park. A and B are two
points on the boundary of the park such that AB(=a) subtends and
angle of 600 at the foot of the tower and the angle of elevation of
the top of the tower from A or B is 300. The height of the tower
is
[AIEEE- 2004]
(a)
(b)
(c) (d)
9.If then is equal to
[AIEEE-2005]
(a)
(b)
(d) 4
(d)
10.If then tan x is
[AIEEE-2006]
(a)
(b)
(c)
(d)
11.The number of values of x in the interval satisfying the
equation is [AIEEE-2006]
(a) 6
(b) 1
(c) 2
(d) 412. If and cosx + sinx = , then tanx is
[AIEEE-2006] (a)
(b)
(d)
(d)
13.If then value of x is [AIEEE-2007]
(a) 1 (b) 3 (c) 4 (d) 514.The value of cot is
[AIEEE-2008]
(a) (b) (c) (d)
15. If , then for all real x
[AIEEE-2011]
(a) (b)
(c)
(d)
16. In a PQR, if and , then the angle R is equal to
[AIEEE-2011]
(a) (b) (c) (d)
17. If x,y,z are in A.P. and are also in A.P., then [JEE
MAINS-2013]
(a) x = y = z
(b) 2x = 3y = 6z
(c) 6x = 3y = 2z (d) 6x = 4y = 3z
18. A bird is sitting on the top of a vertical pole 20 m high
and its elevation from a point O on the ground is 45. It flies off
horizontally straight away from the point O. After one second, the
elevation of the bird from O is reduced to 30. Then the speed (in
m/s) of the bird is
[JEE MAINS-2014] (a)
(b)
(c)
(d)
Mahaveer Classes , Chaitanya Nagar, Ganesh Colony, Jalgaon (MH)
Phone - 0257-2254545
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