Home
Class 11
MATHS
The number of distinct roots of abs((sin...

The number of distinct roots of `abs((sinx, cosx, cosx),(cosx, sinx, cosx),(cosx, cosx, sinx))=0` in the interval `-pi/4 le x le pi/4` is

A

0(zero)

B

2

C

1

D

`gt 2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|21 Videos

  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos

Similar Questions

Explore conceptually related problems

The number of distinct real roots of |(sinx,cosx,cosx),(cosx,sinx,cosx),(cosx,cosx,sinx)|=0 in the interval -(pi)/(4)lexle(pi)/(4) is

cot2x = cosx + sinx

The number of solutions of 2 sinx + cosx =3 is:

The number of solutions of 2sinx+cosx=3 is

sinx + cosx = sqrt(2) cos2x

The number of real solutions of the equation (sinx-x)(cosx-x^2)=0 is

If cosx+sinx=sqrt2cosx and cosx-sinx=k.sinx, then k^2=?

The number of solution (s) of the equation sin^4 x + cos^4 x = sinx cosx in [0 , 2pi]

int dx/(3sinx + 4cosx)

If y=|[sinx,cosx,sinx],[cosx,-sinx,cosx],[x,1, 1]| find (dy)/(dx)dot

PATHFINDER-TRIGONOMETRIC EQUATION AND INVERSE-QUESTION BANK
  1. Solve: 2cos^2x+5cosx+2 ge 0

    Text Solution

    |

  2. Find the points of intersection of the curves y=cosx and y=sin3x if -p...

    Text Solution

    |

  3. Solve for x and y : 2^(1/cos^2x)sqrt(y^2-y+1//2) le 1

    Text Solution

    |

  4. Find the value of tan^-1(1/2tan2A)+tan^-1(cotA)+tan^-1(cot^3A), for 0 ...

    Text Solution

    |

  5. Solve: sin^-1x+sin^-1(1-x)=cos^-1x

    Text Solution

    |

  6. Prove that: tan^-1((c1x-y)/(c1y+x))+tan^-1((c2-c1)/(1+c2c1))+tan^-1((c...

    Text Solution

    |

  7. The value of 'a' for which ax^2 + sin^-1 (x^2 - 2x + 2) + cos^-1 (x^2 ...

    Text Solution

    |

  8. The number of distinct solutions of the equation 5/4cos^2 2x+cos^4x+si...

    Text Solution

    |

  9. If alpha=3sin^-1(6/(11)) and beta=3cos^-1(4/9), where the inverse trig...

    Text Solution

    |

  10. Let, tan^-1y=tan^-1x+tan^-1((2x)/(1-x^2)), where absx lt 1/sqrt3. Then...

    Text Solution

    |

  11. The number of real solutions of the equation (sinx-x)(cosx-x^2)=0 is

    Text Solution

    |

  12. The values of 2cot^-1 (1/2)-cot^-1 (4/3) is

    Text Solution

    |

  13. The number of distinct roots of abs((sinx, cosx, cosx),(cosx, sinx, co...

    Text Solution

    |

  14. The trigonometric equation sin^-1x=2sin^-1 2a has a real solution if

    Text Solution

    |

  15. Let alpha, beta be two distinct roots of acostheta+bsintheta=c, where ...

    Text Solution

    |

  16. If sin^-1(x/(13))+cosec^-1((13)/(12))=pi/2, then the value of x is

    Text Solution

    |

  17. The value of cot(sum(n=1)^(23)cot^-1(1+sum(k=1)^n2k)) is

    Text Solution

    |

  18. If sin^-1x+sin^-1y+sin^-1z=(3pi)/2, then the value of x^9+y^9+z^9-1/(x...

    Text Solution

    |

  19. Number of solutions of the equation tanx+secx=2cosx, x in [0, pi] is

    Text Solution

    |

  20. The solutions set of inequation cos^-1x lt sin^-1x is

    Text Solution

    |