Home
Class 12
MATHS
Number of roots of the equation |sinxcos...

Number of roots of the equation `|sinxcosx|` `+sqrt(2+t a n^2x+cot^2x)=sqrt(3),x in [0,4pi]a r e`

A

1

B

2

C

3

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRY

    BITSAT GUIDE|Exercise BITSAT Archives|41 Videos

  • THREE DIMENSIONAL GEOMETRY

    BITSAT GUIDE|Exercise BITSAT ARCHIVES |11 Videos

  • VECTOR ALGEBRA

    BITSAT GUIDE|Exercise BITSAT Archives|21 Videos

Similar Questions

Explore conceptually related problems

Number of roots of the equation |sin x cos x|+sqrt(2+tan^(2)x+cot^(2)x)=sqrt(3),x in[0,4 pi] are

Number of real value of x satisfying the equation |sin x cos x|+sqrt(2+tan^(2)x+cot^(2)x)=sqrt(3)in[0,2 pi]

Knowledge Check

  • The value of x satisfying the equation |sinx cosx|+sqrt(2+tan^(2)x+cot^(2)x)=sqrt3

    A
    `"belongs to "[0, (pi)/(3)]`
    B
    `"belongs to "((pi)/(3),(pi)/(2))`
    C
    `"belongs to "[(3pi)/(4),pi)`
    D
    does not exist

  • Number of solutions of the equation sin((pi x)/(2sqrt(3)))=x^(2)-2sqrt(3)x+4 is

    A
    0
    B
    1
    C
    2
    D
    4

    • Similar Questions

    Explore conceptually related problems

    The variable x satisfying the equation |sin x cos x|+sqrt(2+tan^(2)+cot^(2)x)=sqrt(3) belongs to the interval [0,(pi)/(3)](b)((pi)/(3),(pi)/(3))(c)[(3 pi)/(4),pi] (d) none-existent

    Number of real roots of the equation |3x-2|+|1-x|=sqrt(3-4x) is/are

    The number of solutions of the equation sin((pi x)/(2sqrt(3)))=x^(2)-2sqrt(3)x+4

    Numbers of real roots of the equation (sqrt(5)-sqrt(3))cos ecx+(sqrt(5)+sqrt(3))sec x=8 in [0,4 pi]

    The roots of the equation x^(2) -2 sqrt(2) x + 1 = 0 are

    The number of roots of the equation sqrt(x^(2)-4)-(x-2)=sqrt(x^(2)-5x+6) is

    Home
    Profile