Home
Class 12
MATHS
Number of solutions of the equation s...

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

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 2 Single Correct Answer Type Questions)|30 Videos
  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|32 Videos
  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Concept-based Single Correct Answer Type Questions ) |20 Videos
  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|25 Videos
  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|20 Videos

Similar Questions

Explore conceptually related problems

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

Number of solutions of the equation (sqrt(3)+1)^(2x)+(sqrt(3)-1)^(2x)=2^(3x) is

The number of solutions of the equation x^(log_(sqrt(x))2x)=4

The number of solutions of the equation |2 sin x-sqrt(3)|^(2 cos^(2) x-3 cos x+1)=1 in [0, pi] is

The number of solutions of the equation |sin((pi)/(2)(1-x))+cos((pi)/(2)(1-x))| = sqrt(|log_(e)|x|^(3)+1|) is /are

Find number of solutions of the equation sqrt((x+8)+2sqrt(x+7))+sqrt((x+1)-sqrt(x+7))=4

The number of solutions of the equation x^("log"sqrt(x)^(2x)) =4 is

The number of solutions of the equation |x^(2)-4|+(x-2)^(2)+sqrt(x^(2)-3x+2)=0

Number of integral solutions of the equation 2sin^(-1)sqrt(x^(2)-x+1)+cos^(-1)sqrt(x^(2)-x)=3(pi)/(2) is

MCGROW HILL PUBLICATION-TRIGONOMETRICAL IDENTITIES AND EQUATIONS -EXERCISE (LEVEL 1 Single Correct Answer Type Questions)
  1. 2cos^(2)x+4cosx=3sin^(2)x if

    Text Solution

    |

  2. 6tan^(2)x-2cos^(2)x=cos2x if

    Text Solution

    |

  3. The greatest value of cos theta for which cos 5 theta=0 is

    Text Solution

    |

  4. If tan p theta= tan q theta, then the values of theta form an A.P. wit...

    Text Solution

    |

  5. The equation int(0)^(x).(t^(2)-8t+13) dt =x sin(a//x) has a solution i...

    Text Solution

    |

  6. The smallest positive root of the equation sqrt(sin(1-x))=sqrt(cosx)...

    Text Solution

    |

  7. The sum of the roots of the equation 4cos^(3)x-4cos^(2)x-cos(pi+x)-1...

    Text Solution

    |

  8. A solution (x, y) of x^(2)+2x sin xy+1=0 is

    Text Solution

    |

  9. e^(sinx)-e^(-sinx)=4 for

    Text Solution

    |

  10. The number of values of x satisfying the condition sin x +sin 5x=sin3x...

    Text Solution

    |

  11. sin x, sin2x, sin3x are in A.P. if

    Text Solution

    |

  12. 2sin^(2)((pi//2)cos^(2)x)=1-cos(pi sin2x) if

    Text Solution

    |

  13. Number of solutions of the equation 4 sin^(2)x+tan^(2)x+cot^(2)x+"cose...

    Text Solution

    |

  14. Sum of integral values of n such that sinx (2sin x+cosx)=n, has at le...

    Text Solution

    |

  15. If 0 lt x lt pi//2 and sin(2 sin x)=cos(2 cos x) then tan x+cotx=(a)/...

    Text Solution

    |

  16. If 15sin^(4)alpha+10cos^(4)alpha=6 then the value of 8"cosec"^(6)alpha...

    Text Solution

    |

  17. If sum(r = 1)^(oo) "tan"^(-1)(1)/(2r^(2))=t, then tan t is equal to

    Text Solution

    |

  18. If theta in [-2011pi, 2011pi], then the number of solutions of the equ...

    Text Solution

    |

  19. If x="sin"(2pi)/(7)+"sin"(4pi)/(7)+"sin"(8pi)/(7) and y="cos"(2pi)/(7)...

    Text Solution

    |

  20. Number of solutions of the equation sin((pi x)/(2sqrt(3)))=x^(2)-2s...

    Text Solution

    |