XI_Maths_Trigonometrical Equations_2 Online Test

Number of solutions of the equation tan x + sec x=2 cos x = 2cos x lying in the interval [0, 2():
0
1
2
3
3 (sin x- cosx)4 + 6 (sinx + cosx)2 +4 (sin6x+ cos6x)=
11
12
13
14
The general values of ( satisfying the equation 2sin2 ( -3 sin(-2=0 is
n(+ (-1)n (/6
n(+ (-1)n (/2
n(+ (-1)n 5(/6
n(+ (-1)n 7(/6
sec2 (=  is true if and only if
x+ y (0
x=y, x(0
x=y
x(0, y(0
The number of real solutions of tan-1  is
zero
one
two
inifinite
In a triangle PQR, (R=(/2. If tan (P/2) and tan (Q/2) are the roots of the equation ax2 + bx + c=0(a(0) then.
a + b= c
b + c= a
a + c= b
b = c
If ( + (=(/2 and ( +( =(, then tan ( equals
2(tan ( + tany)
tan( + tany
tan( + 2tany
2tan( + tany
The equation is solvable for ____.
Cos((-()=1 and cos((+() =1/e where (, ( ( [-(,(]. Paris of (, ( which satisfy both the equations is/are
0
1
2
4
The number of solutions of the pair of equations 2sin2(- cos2(=0 2cos2(- 3sin(=0 in the interval [0, 2(] is
zero
one
two
four
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This test is based on AIEEE, IIT JEE for those students who studying in class XI

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