Home
Class 12
MATHS
Let A=|(1,sintheta,1),(-sintheta,1,sinth...

Let `A=|(1,sintheta,1),(-sintheta,1,sintheta),(-1,-sintheta,1)|,` where `0lt=thetalt=2pidot` Then `D e t(A)=0` (b) `D e t(A) in (2,oo)` `D e t(A) in (2,4)` (d) `D e t(A) in [2,4]`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DERIVATIVES AS A RATE MEASURER

    RD SHARMA ENGLISH|Exercise All Questions|168 Videos
  • DIFFERENTIABILITY

    RD SHARMA ENGLISH|Exercise All Questions|135 Videos

Similar Questions

Explore conceptually related problems

Let A=|[1,sintheta,1],[-sintheta,1,sintheta],[-1,-sintheta,1]|, where 0lt=thetalt=2pidot Then (a) D e t(A)=0 (b) D e t(A) in (2,oo) (c) D e t(A) in (2,4) (d) D e t(A) in [2,4]

Let A=|[1,sintheta,1],[-sintheta,1,sintheta],[-1,-sintheta,1]|, where 0lt=thetalt=2pi . Then

Let A=[[1,sintheta,1],[-sintheta,1,sintheta],[-1,-sintheta,1]] , where 0lt=thetalt=2pi . Then (A) D e t(A) = 0 (B) D e t(A) in (2,oo) (C) D e t(A) in (2, 4) (D) D e t (A) in [2, 4]

If Delta=|{:(1,sintheta,1),(-sintheta,1,sintheta),(-1,-sintheta,1):}|"prove that" 2lt=Deltalt=4.

Let A=[(1, sintheta, 1),(-sintheta, 1, sintheta),(-1, -sintheta, 1)], thetaepsilon((3pi)/4, (5pi)/4), then |A| lies in (A) [1/2,3) (B) [1,4) (C) [-1,2] (D) none of these

Prove that sqrt((1+sintheta)/(1-sintheta))+sqrt((1-sintheta)/(1+sintheta))=2sectheta

Find the value of theta which satisfy rsintheta=3 and r=4(1+sintheta),0lt=thetalt=2pidot

Evaluate: int_0^(pi//2)(costheta)/((1+sintheta)(2+sintheta)) d theta

If sintheta_1+sintheta_2+sintheta_3=3, then costheta_1+costheta_2+costheta_3 is equal to (a) 3 (b) 2 (c) 1 (d) 0

If x=(2sintheta)/(1+costheta+sintheta),t h e n(1-costheta+sintheta)/(1+sintheta) is equal to (a) 1+x (b) 1-x (c) x (d) 1/x

RD SHARMA ENGLISH-DETERMINANTS-All Questions
  1. A triangle has its three sides equal to a , b and c . If the coordina...

    Text Solution

    |

  2. Solve the following system of equations using Cramers rule. 5x-7y+z=1...

    Text Solution

    |

  3. Let A=|(1,sintheta,1),(-sintheta,1,sintheta),(-1,-sintheta,1)|, where ...

    Text Solution

    |

  4. Prove the identities: |[a, b-c,c-b],[ a-c, b, c-a],[ a-b,b-a, c]| =(...

    Text Solution

    |

  5. Prove the identity: |[b^2+c^2,ab, ac],[ba,c^2+a^2,bc],[ca, cb ,a^2+b^2...

    Text Solution

    |

  6. |((a^2+b^2)/c,c,c),(a,(b^2+c^2)/a,a),(b,b,(a^2+c^2)/b)| equal to : (A)...

    Text Solution

    |

  7. Prove that identities: |[-bc,b^2+bc,c^2+bc],[a^2+ac,-ac,c^2+ac],[a^2+...

    Text Solution

    |

  8. Without expanding, prove that |a b c x y z p q r|=|x y z p q r a b c|=...

    Text Solution

    |

  9. If |[p, b, c],[ a, q, c],[ a, b, r]|=0, find the value of p/(p-a)+q/(...

    Text Solution

    |

  10. Find the equation of the line joining A(1,3)a n dB(0,0) using determin...

    Text Solution

    |

  11. If A(x1, y1),B(x2, y2) and C(x3,y3) are vertices of an equilateral ...

    Text Solution

    |

  12. If f(x)=|0x-a x-b x+a0x-c x+b x+c0|,t h e n f(x)=0 (b) f(b)=0 (c) f...

    Text Solution

    |

  13. Prove the identities: |[a^2,a^2-(b-c)^2,b c], [b^2,b^2-(c-a)^2,c a],[...

    Text Solution

    |

  14. Prove the identities: |[z, x, y],[ z^2,x^2,y^2],[z^4,x^4,y^4]|=|[x,...

    Text Solution

    |

  15. Without expanding, show that the value of each of the determinants is ...

    Text Solution

    |

  16. Without expanding, show that the value of each of the determinants is ...

    Text Solution

    |

  17. Without expanding, show that the value of each of the determinants is ...

    Text Solution

    |

  18. Without expanding, show that the value of each of the determinants is ...

    Text Solution

    |

  19. Using the properties of determinants, prove that following |(a-b-c,2a,...

    Text Solution

    |

  20. Prove the identities: |[a, b, c],[ a-b,b-c,c-a],[ b+c,c+a, a+b]|=a^3+...

    Text Solution

    |