Home
Class 12
MATHS
If f(x)=|{:( sin^2 theta , cos^(2) theta...

If `f(x)=|{:( sin^2 theta , cos^(2) theta , x),(cos^(2) theta , x , sin^(2) theta ),( x , sin^(2) theta , cos^2 theta ):}| theta in (0,pi//2),` then roots of f(x)=0 are

A

1/2,-1

B

1/2,-1,0

C

`-1//2,1,0`

D

`-1//2,-1,0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|25 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|13 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise For Session 4|8 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|44 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|19 Videos

Similar Questions

Explore conceptually related problems

if tan theta=(x)/(y) then sin2 theta+cos2 theta is

If sin 6theta =32 cos ^(2) theta sin theta -32 cos ^(3) theta sin theta + 3x, then x=

8sin theta cos theta cos2 theta cos4 theta=sin x the x=

If |{:(1+cos^(2)theta,sin^(2)theta,4cos6theta),(cos^(2)theta,1+sin^(2)theta,4cos6theta),(cos^(2)theta,sin^(2)theta,1+4cos6theta):}|=0 , and theta in (0,(pi)/(2)) , then value of theta is

If cos2theta=0 , then |(0,costheta,sin theta),(cos theta, sin theta, 0),(sin theta, 0, cos theta)|^(2) is equal to…………

ARIHANT MATHS-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise (Single Option Correct Type Questions)
  1. The number of solutions of the equation cos 4x+6=7 cos 2x , when x ...

    Text Solution

    |

  2. The number of solutions of cot(5pi sin theta )=tan (5 pi cos theta ),...

    Text Solution

    |

  3. If exp [(sin^(2)x+sin^(4) x +sin^(6)x+.... oo)" In" 2] satisfies the ...

    Text Solution

    |

  4. The total number of solutions of cos x= sqrt(1- sin 2x) in [0, 2pi] is...

    Text Solution

    |

  5. If the equation cos 3 x cos^(3) x + sin 3 x sin^(3) x =0 , then x is ...

    Text Solution

    |

  6. Total number of solutions of sinx=(|x|)/(10) is equal to

    Text Solution

    |

  7. The number of all possible 5-tuples (a(1),a(2),a(3),a(4),a(5)) such th...

    Text Solution

    |

  8. x(1) and x(2) are two positive value of x for which 2 cos x,|cos x|...

    Text Solution

    |

  9. If cos x-(cot beta sinx )/( 2 )=sqrt(3)/(2) , then the value of tan...

    Text Solution

    |

  10. The expression nsin^(2) theta + 2 n cos( theta + alpha ) sin alph...

    Text Solution

    |

  11. The value of the determinants |{:(1,a,a^(2)),(cos(n-1)x,cos nx , cos(n...

    Text Solution

    |

  12. If sin (2alpha) /cos(2alpha) < 0 If alpha lies in

    Text Solution

    |

  13. If f(x)=|{:( sin^2 theta , cos^(2) theta , x),(cos^(2) theta , x , sin...

    Text Solution

    |

  14. The equation sin x + sin y + sin z =-3 for 0 le x le 2pi , 0 le y l...

    Text Solution

    |

  15. If sec x cos 5x+1=0 , where 0lt x lt 2pi , then x=

    Text Solution

    |

  16. If |k|=5 and 0^(@) le theta le 360^(@) , then the number of different...

    Text Solution

    |

  17. If cot (alpha + beta )=0 , then sin(alpha+2beta )=

    Text Solution

    |

  18. If : cot theta + cot((pi)/4 + theta) = 2, then : theta =

    Text Solution

    |

  19. If cos 2 theta =(sqrt(2)+1)( cos theta -(1)/(sqrt(2))), then the valu...

    Text Solution

    |

  20. If |1-(|sin x |)/(1+ sin x )| ge (2)/(3), then sin x lies in

    Text Solution

    |