Home
Class 12
MATHS
Let S={x in (-pi, pi) : x ne 0, pm pi/2}...

Let `S={x in (-pi, pi) : x ne 0, pm pi/2}`. The sum of all distinct solutions of the equation `sqrt(2) sec x+cosec x + 2(tan x-cot x)`
`=0` in the set S is equal to

A

`-(7pi)/(9)`

B

`-(2pi)/(9)`

C

`0`

D

`(5pi)/(9)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |5 Videos
  • INDEFINITE INTEGRATION

    RESONANCE ENGLISH|Exercise SELF PRACTIC PROBLEMS|25 Videos

Similar Questions

Explore conceptually related problems

Let S={xepsilon(-pi,pi):x!=0,+pi/2} The sum of all distinct solutions of the equation sqrt3secx+cosecx+2(tan x-cot x)=0 in the set S is equal to

Let S={xepsilon(-pi,pi):x!=0,+pi/2} The sum of all distinct solutions of the equation sqrt3secx+cosecx+2(tan x-cot x)=0 in the set S is equal to

If the sum of all the solutions of the equation 8 cosx.(cos(pi/6+x)cos(pi/6-x)-1/2)=1 in [0,pi] is k pi then k is equal to

If the sum of all the solutions of the equation 8 cosx.(cos(pi/6+x)cos(pi/6-x)-1/2)=1 in [0,pi] is k pi then k is equal to

Find the number of solution of the equation sqrt(cos 2x+2)=(sin x + cos x) in [0, pi] .

The number of solutions of the equation |cot x|=cotx+"cosec"x in [0,10pi] is /are

Find the number of distinct solution of sec x + tan x =sqrt(3) , where 0 le x le 3pi

Number of solutions of the equation 4(cos^(2) 2x+ cos 2 x +1)+tan x (tan x-2sqrt(3))=0 in [0, 2pi] is

What is the sum of the roots of the equation (x-sqrt2)(x^2-sqrt3x+pi)=0 ?

The number of solutions of the equation "tan" x + "sec"x = 2"cos" x lying in the interval [0, 2 pi] is

RESONANCE ENGLISH-FUNDAMENTAL OF MATHEMATICS-Exercise
  1. The number of distinct solution of the equation 5/4 cos^(2) 2x + cos^(...

    Text Solution

    |

  2. Let -pi/6 < theta < -pi/12. Suppose alpha1 and beta1, are the roots of...

    Text Solution

    |

  3. Let S={x in (-pi, pi) : x ne 0, pm pi/2}. The sum of all distinct solu...

    Text Solution

    |

  4. The value of overset(13)underset(k=1)(sum) (1)/(sin((pi)/(4) + ((k-1)p...

    Text Solution

    |

  5. If cosx-sinalphacotbetasinx=cosa , then the value of tan(x/2) is -tan(...

    Text Solution

    |

  6. The value of ((log(2)9)^(2))^(1/(log(2)(log(2)9)))xx(sqrt7)^(1/(log(4...

    Text Solution

    |

  7. If A, B and C are three sets such that AnnB""=""AnnC and AuuB""=""AuuC...

    Text Solution

    |

  8. Let A and B denote the statements A:cos alpha+ cos beta+cos gamma=0 ...

    Text Solution

    |

  9. Let cos(alpha+beta)""=4/5 and let sin (alpha+beta)""=5/(13) where 0lt=...

    Text Solution

    |

  10. If A=sin^(2)x+cos^(4)x, then for all real x

    Text Solution

    |

  11. Let X""=""{1,""2,""3,""4,""5} . The number of different ordered pairs ...

    Text Solution

    |

  12. In a Delta PQR , if 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P =1, th...

    Text Solution

    |

  13. Let A and B be two sets containing 2 elements and 4 elements, respecti...

    Text Solution

    |

  14. The expression (tan A)/(1-cotA)+(cot A)/(1-tan A) can be written as

    Text Solution

    |

  15. If X={4^(n)-3n-1:ninN}andy={9(n-1):ninN}, then X uu Y equals

    Text Solution

    |

  16. Let fk(x)=1/k(sin^kx+cos^kx)" where "x in R and kge1. " Then "f4(x) -f...

    Text Solution

    |

  17. Let A and B be two sets containing 2 elements and 4 elements, respecti...

    Text Solution

    |

  18. If the anlges of elevation of the top of a tower from three collinear ...

    Text Solution

    |

  19. If 0 le x le 2pi, then the number of real values of x, which satisfy t...

    Text Solution

    |

  20. If 5 (tan ^(2) x - cos ^(2) x ) = 2 cos 2x +9, then the value of cos 4...

    Text Solution

    |