Home
Class 11
MATHS
For 0ltx ,yltpi,the number of ordered pa...

For `0ltx ,yltpi,`the number of ordered pairs `(x, y)` satisfying system equations `cot^2(x-y)-(1+sqrt(3))cot(x-y)+sqrt(3)="0 and cosy="(sqrt(3))/2`is (a)`0`(b)`1`(c)` 2` (d)` 3`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

For 0

The number of ordered pair (x ,\ y) satisfying correspondence C_1 is 1 b. 2 c. 3 d. 4

Solve the following system of equations: sqrt(2)x-sqrt(3)y=0,\ \ \ \ sqrt(3)x-sqrt(8)y=0

Solve the following system of equations: sqrt(2)x-sqrt(3)y=0,\ \ \ \ sqrt(3)x-sqrt(8)y=0

x+y=0 3x-2y=10 Which of the following ordered pairs (x y) satisfies the system of equations above?

If x in[0,6 pi],y in[0,6 pi] then the number of ordered pair (x,y) which satisfy the equation sin^(-1)sin x+cos^(-1)cos y=(3 pi)/(2) are

The value of x in (0,pi/2) satisfying the equation, (sqrt3-1)/sin x+ (sqrt3+1)/cosx=4sqrt2 is -

The number of ordered pairs which satisfy the equation x^2+2xsin(x y)+1=0 are (where y in [0,2pi] ) (a) 1 (b) 2 (c) 3 (d) 0

The number of ordered pairs (x, y) , when x, y in [ 0, 10] satisfying (sqrt(sin^(2)x- sinx + 1/2))*2^(sec^(2)y) le 1 is

Solve the following system of equations: 2/(sqrt(x))+3/(sqrt(y))=2,\ \ \ \ 4/(sqrt(x))-9/(sqrt(y))=-1

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. (sin^3theta-cos^3theta)/(sintheta-costheta)-(costheta)/(sqrt(1+cot^2th...

    Text Solution

    |

  2. ABCD is a trapezium such that A B||C Da n dC B is perpendicular to the...

    Text Solution

    |

  3. For 0ltx ,yltpi,the number of ordered pairs (x, y) satisfying system e...

    Text Solution

    |

  4. In ABC with usual notations, if r=1,r1=7 and R=3, the (a) ABC is equil...

    Text Solution

    |

  5. The least positive solution of cot(pi/(3sqrt3) sin2x)=sqrt3 lie (a) ...

    Text Solution

    |

  6. If 2sec^2A-sec^4A-2cos e c^2A+cos e c^4A=(15)/4,t h e n tan A is equal...

    Text Solution

    |

  7. In Delta ABC, a^(2)(s-a)+b^(2)(s-b)+c^(2)(s-c)=

    Text Solution

    |

  8. The minimum value of sqrt((3sin x-4cosx-10)(3sinx+4cosx-10)) is

    Text Solution

    |

  9. The number of real roots of the equation cos e ctheta+sectheta-sqrt(15...

    Text Solution

    |

  10. In triangle A B C ,D is on A C such that A D=B C' and BD=D C ,/D B C=2...

    Text Solution

    |

  11. If 0lt=xlt=2pi, then the number of solutions of 3(sinx+cosx)-2(sin^3x...

    Text Solution

    |

  12. If a in (0,1)a n df(a)=(a^2-a+1)+(8sin^2a)/(sqrt(a^2-a+1))+(27 cos e c...

    Text Solution

    |

  13. Prove that the area of a regular polygon hawing 2n sides, inscribed in...

    Text Solution

    |

  14. If 2 sin^(2) ((pi//2) cos^(2) x)=1-cos (pi sin 2x), x ne (2n + 1) pi//...

    Text Solution

    |

  15. If (sin^4x)/2+(cos^4x)/3=1/5t h e n tan^2x=2/3 (b) (sin^8x)/8+(cos^...

    Text Solution

    |

  16. If b=3,c=4,a n dB=pi/3, then find the number of triangles that can be ...

    Text Solution

    |

  17. The number of solutions of the equation cos6x+tan^2x+cos(6x)tan^2x=1 ...

    Text Solution

    |

  18. Prove that the sum of the radii of the radii of the circles, which are...

    Text Solution

    |

  19. If A=4sintheta+cos^2theta, then which of the following is not true? ...

    Text Solution

    |

  20. The number of solutions of the equation sin^3xcosx+sin^2xcos^2x+sinxco...

    Text Solution

    |