Home
Class 12
MATHS
The number of distinct real roots of ...

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

A

`0`

B

`1`

C

`2`

D

`3`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SOLUTION OF TRIANGLES

    MODERN PUBLICATION|Exercise Latest questions from AIEE/JEE Examinations|5 Videos

  • SOLUTION OF TRIANGLES

    MODERN PUBLICATION|Exercise Latest questions from AIEE/JEE Examinations|5 Videos

  • SETS

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|6 Videos

  • STATISTICS

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|3 Videos

Similar Questions

Explore conceptually related problems

int (2sinx-cosx)/(2cosx+sinx)dx =

Expand | (cosx, -sinx),(sinx , cosx)|

If sin2x=1 , then |(0,cosx,-sinx),(sinx,0,cosx),(cosx,sinx,0)| equals :

int (sinx-cosx)/(cosx+sinx)dx =

int (2cosxdx)/(sinx+cosx)

The period of (|sinx|+|cosx|)/(|sinx-cosx|) is :

If Delta(x)=|(1,cosx,1-cosx),(1+sinx,cosx,1+sinx-cosx),(sinx, sinx ,1)| then int_0^(pi//2)Delta(x) dx is equal to :

If, x,y inR , then the determinant: Delta=|(cosx,-sinx,1),(sinx,cosx,1),(cos(x+y),-sin(x+y),0)| lies in the interval .

int ((sinx+8cosx)/(4sinx+6cosx)) dx =

If y=(sinx)^(cosx)+x^(sinx) find dy/dx.

MODERN PUBLICATION-SOLUTION OF TRIANGLES-Level-II
  1. The area of a circle is A(1) and the area of a regular pentagon inscri...

    Text Solution

    |

  2. In a triangle ABC , 2acsin.(1)/(2)(A-B+C) is equal to :

    Text Solution

    |

  3. In a triangle ABC, let /C=pi//2. If r is the inradius and R is the cir...

    Text Solution

    |

  4. The number of distinct real roots of |(sinx,cosx,cosx),(cosx, sinx,...

    Text Solution

    |

  5. In a triangle ABC, 2casin.(A-B+C)/(2)=

    Text Solution

    |

  6. In a DeltaABC, tan.(A)/(2)=(5)/(6), tan.(C)/(2)=(2)/(5), then

    Text Solution

    |

  7. In a triangle ABC, a=4, b=3, /A=60^(@), then c is the root of the equa...

    Text Solution

    |

  8. In a triangle with sides a,b,c,r(1) gt r(2) gt r(3) (which are extradi...

    Text Solution

    |

  9. The sides of a triangle are 3x+4y, 4x+3y and 5x+5y , where x,y gt 0, t...

    Text Solution

    |

  10. Which of the following pieces of data does NOT uniequely determine an ...

    Text Solution

    |

  11. If in a triangle ABC, acos^(2).(C)/(2)+cos^(2).(A)/(2)=(3b)/(2), then ...

    Text Solution

    |

  12. In a triangle ABC, medians AD and BE are drawn . If AD=4, /DAB=(pi)/(6...

    Text Solution

    |

  13. The sum of the radii of inscribed and circumscribed circles for an n-s...

    Text Solution

    |

  14. The angles of a triangle are in the ratio 4 : 1 :1, then the ratio of ...

    Text Solution

    |

  15. The sides of a triangle are sinalpha,cosalpha and sqrt(1+sinalphacosal...

    Text Solution

    |

  16. The sides of a triangle are in the ratio 1 : sqrt(3) : 2, then angles ...

    Text Solution

    |

  17. If in a DeltaABC, the altitudes from the vertices A,B,C on opposite si...

    Text Solution

    |

  18. If a,b,c are sides opposite to the angles A,B,C, then which of the fol...

    Text Solution

    |

  19. A triangular park is enclosed on two sides by a fence and on the third...

    Text Solution

    |

  20. Internal bisector of /A of triangle ABC meets side BC at D.A. line dra...

    Text Solution

    |