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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

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

This test is based on AIEEE, IIT JEE for those students who studying in class XI

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