Home
Class 12
MATHS
If sqrt3 sin x+cosx-2=(y-1)^(2)" for "0l...

If `sqrt3 sin x+cosx-2=(y-1)^(2)" for "0lexle 8pi`, then the number of values of the pair (x, y) is equal to

Text Solution

Verified by Experts

The correct Answer is:
4
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 74

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • NTA JEE MOCK TEST 76

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

If (2cosx-1)(3+2cosx)=0, 0lexle2pi, then x=

If sin^(-1)x+sin^(-1)y=(2pi)/(3), cos^(-1)x-cos^(-1)y=(pi)/(3) then the number of values of (x, y) is :

If f(x)=cosx,0lexle(pi)/2 then the real number c of the mean value theorem is

If (sin x)/(sin y)=(1)/(2),(cos x)/(cos y)=(3)/(2), where x,y in(0,(pi)/(2)), then the value of tan(x+y) is equal to

If y=0 then the number of values of the pair (x, y) such that x+y+x/y=1/2 and (x+y)x/y= -1/2 is:

If sin^(-1)x+sin^(-1)y=(2 pi)/(3) and cos^(-1)x-cos^(-1)y=-(pi)/(3) then the number of values of (x,y) is

Let y=(sin^3x)/(cosx)+(cos^3x)/(sinx) where 0

If 0 le x le 3 pi , 0 le y le 3 pi and cos x * sin y=1 , then find the possible number of values of the orederd pair (x,y) .

If 0lexle2pi,0le2piandsinx+siny=2 , then the value of x+y is

If (sin x)/(sin y)=(1)/(2),(cos x)/(cos y)=(3)/(2), where x,y,in(0,(pi)/(2)), then the value of tan(x+y) is equal to (a)sqrt(13)(b)sqrt(14)(c)sqrt(17)(d)sqrt(15)

NTA MOCK TESTS-NTA JEE MOCK TEST 75-MATHEMATICS
  1. The smallest positive integral value of a, such that the function f(x)...

    Text Solution

    |

  2. The value of Sigma(i=1)^(n)(.^(n+1)C(i)-.^(n)C(i)) is equal to

    Text Solution

    |

  3. If the integral int(0)^(2)(dx)/(sinx+sin(2-x))=A, then the integral be...

    Text Solution

    |

  4. If the reciprocals of 2, log((3^(x)-4))4 and log(3^(x)+(7)/(2))4 are i...

    Text Solution

    |

  5. From point P(4,0) tangents PA and PB are drawn to the circle S: x^2+y^...

    Text Solution

    |

  6. Consider a plane P:2x+y-z=5, a line L:(x-3)/(2)=(y+1)/(-3)=(z-2)/(-1) ...

    Text Solution

    |

  7. The number of triplets (a, b, c) of positive integers satisfying the e...

    Text Solution

    |

  8. The locus of the trisection point of any arbitrary double ordinate of ...

    Text Solution

    |

  9. If A={1,3,5,7,9,11,13,15}, B and N={2,4,……,16} is the universal set, t...

    Text Solution

    |

  10. Let f:(6, 8)rarr (9, 11) be a function defined as f(x)=x+[(x)/(2)] (wh...

    Text Solution

    |

  11. Let f(x+y)=f(x).f(y) for all x, y in R and f(x)=1+x phi(x)log3. If lim...

    Text Solution

    |

  12. If the standard deviation of the numbers 2, 4, a and 10 is 3.5, then w...

    Text Solution

    |

  13. The domain of the function f(x)=4sqrt(cos^(-1)((1-|x|)/(2))) is

    Text Solution

    |

  14. A word has 4 identical letters and rest all are distinct letters. If t...

    Text Solution

    |

  15. The integral I=int sec^(3)x tan^(3)xdx is equal to (where, C is the co...

    Text Solution

    |

  16. If omega is the imaginary cube roots of unity, then the number of p...

    Text Solution

    |

  17. If the area bounded by y+|x-pi|le pi and y ge (pi)/(2) is Kpi^(2) sq. ...

    Text Solution

    |

  18. If sqrt3 sin x+cosx-2=(y-1)^(2)" for "0lexle 8pi, then the number of v...

    Text Solution

    |

  19. The probability that a married man watches a certain T.V. show is 0.6 ...

    Text Solution

    |

  20. The value of lim(xrarr1)Sigma(r=1)^(10)=(x^(r )-1^(r ))/(2(x-1)) is eq...

    Text Solution

    |