Home
Class 12
MATHS
If x in (0, 1), then greatest root of th...

If `x in (0, 1)`, then greatest root of the equation `sin2pix=sqrt2cospix` is

A

`1/4`

B

`1/2`

C

`3/4`

D

`1/3`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section-C (Objective Type Questions More than one options are correct )|45 Videos
  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section D (Linked Comprehension Type Questions)|24 Videos
  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment Section-B (Objective Type Questions (One option is correct))|1 Videos
  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - J|10 Videos
  • VECTOR ALGEBRA

    AAKASH INSTITUTE|Exercise SECTION-J (Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

If x in(0,1), then greatest root of the equation sin2 pi x=sqrt(2)cos pi x is

What are the roots of the equation x^(2)+sqrt(2)x-4=0.

Determine the roots of the equation sqrt3x^2-2x-sqrt3=0

The roots of the equation x^(2)+2sqrt(3)x+3=0 are

The roots of the equation x^(2)-2sqrt(3)x+3=0 are

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

If sin theta,cos theta are the roots of the equation 2x^(2)-2sqrt(2)x+1=0, then theta is equal to

AAKASH INSTITUTE-TRIGNOMETRIC FUNCTIONS -Section-B (Objective Type Questions One option is correct)
  1. If angles A and B satisfy (1+tanA)(1+tanB)=2, then the value of A +B i...

    Text Solution

    |

  2. The number of solution of the equation tan3x-tan2x-tan3x.tan2x = 1 in ...

    Text Solution

    |

  3. If x in (0, 1), then greatest root of the equation sin2pix=sqrt2cospix...

    Text Solution

    |

  4. The number of solutions of equations 3cos2theta+5costheta =1 in [0,2pi...

    Text Solution

    |

  5. The general solution of the equations tantheta=-1 and costheta=1/sqrt(...

    Text Solution

    |

  6. The number of the solutions of the equation 3sinx + 4cosx-x^2-16 = 0 i...

    Text Solution

    |

  7. solve sin^4x=1+tan^8x

    Text Solution

    |

  8. If theta in (0, 2pi) and 2sin^2theta - 5sintheta + 2 > 0, then the ran...

    Text Solution

    |

  9. If theta in (0, 2pi) and 2sin^2theta - 5sintheta + 2 > 0, then the ran...

    Text Solution

    |

  10. The general solution of the equation tan2theta tan3theta=1 is

    Text Solution

    |

  11. If m, n in N( n> m), then number of solutions of the equation n|sin...

    Text Solution

    |

  12. If sinA = sinBandcosA=cosA=cosB, then which one of the following is c...

    Text Solution

    |

  13. The number of values of x int [-2pi, 2pi] satisfying tanx + cotx 2" c...

    Text Solution

    |

  14. The solution set of the equation tanax = tanbx

    Text Solution

    |

  15. The general solution of the equation tanx/ (tan2x) + (tan2x)/tanx +2 =...

    Text Solution

    |

  16. The solution of the equation cos^2theta-2costheta=4sintheta-sin2theta ...

    Text Solution

    |

  17. The general solution of sin^2 theta sec theta +sqrt3 tan theta=0 is (n...

    Text Solution

    |

  18. If sinx+cosx=sqrt(y+1/y), y gt 0, x in[0,pi], then find the least valu...

    Text Solution

    |

  19. The -number of solutions of the equation cos(pisqrt(x-4)cos(pi sqrtx)=...

    Text Solution

    |

  20. The number of solutions of sum(r=1)^6 cos(rx)=6 in

    Text Solution

    |