Home
Class 12
MATHS
If |xsinthetacostheta-sintheta-x1costhet...

If `|xsinthetacostheta-sintheta-x1costheta1x|=8` , write the value of `xdot`

Text Solution

Verified by Experts

Expanding along row_1 in given question we get,
`x(-x^2-1)-sintheta(-xsintheta-costheta)+costheta(xcostheta-sintheta)=8`
`=>-x^3-x+xsin^2theta+sinthetacostheta+xcos^2theta-sinthetacostheta=8`
`=>-x^3-x+x(sin^2theta+cos^2theta)=8`
...
Promotional Banner

Topper's Solved these Questions

  • DERIVATIVES AS A RATE MEASURER

    RD SHARMA|Exercise Solved Examples And Exercises|149 Videos

  • DIFFERENTIABILITY

    RD SHARMA|Exercise Solved Examples And Exercises|136 Videos

Similar Questions

Explore conceptually related problems

If sintheta+costheta=x then sintheta-costheta=?

If |{:(x,sintheta,costheta),(-sintheta,-x,1),(costheta,1,x):}|=8 , then the value of x is :

If x=sintheta+costhetaandy=sintheta.costheta , then what is the value of x^(4)-4x^(2)y-2x^(2)+4y^(2)+4y+1 ?

If (sintheta+costheta)/(sintheta-costheta)=3 then the value of sin^(4)theta is :

If (sintheta+costheta)/(sintheta-costheta)=(5)/(4) , the value of (tan^(2)theta+1)/(tan^(2)theta-1) is

If sintheta-costheta=1 ,then find sintheta.costheta

Prove that the determinant |[x, sintheta,costheta],[-sintheta,-x,1],[costheta,1,x]| is independent of theta

If sintheta+costheta=1 , then Find sintheta.costheta

RD SHARMA-DETERMINANTS-Solved Examples And Exercises
  1. The maximum value of |(1,1,1),(1,1+sintheta,1),(1,1,1+costheta)| is 1/...

    Text Solution

    |

  2. If x in N and |x+3-2-3x2x|=8, then find the value of xdot

    Text Solution

    |

  3. If |xsinthetacostheta-sintheta-x1costheta1x|=8 , write the value of xd...

    Text Solution

    |

  4. If Delta=|a(11)a(12)a(13)a(21)a(22)a(23)a(31)a(32)a(33)| and A(i j) is...

    Text Solution

    |

  5. Which of the following is not correct in a given determinant of A , wh...

    Text Solution

    |

  6. Let |x2xx^2x6xx6|=a x^4+b x^3+c x^2+dx+edot Then, the value of 5a+4b+3...

    Text Solution

    |

  7. The value of the determinant |a^2a1cosn xcos(n+a)xcos(n+2)xsinn xsin(n...

    Text Solution

    |

  8. If Dk=1nn2k n^2+n+1n^2+n2k-1n^2n^2+n+1a n dsum(k=1)^n Dk=56. then n eq...

    Text Solution

    |

  9. Let |[x^2+3x,x-1,x+3],[x+1,-2x,x-4],[x-3,x+4, 3x]| =a x^4+b x^3+c x^2+...

    Text Solution

    |

  10. Using the factor theorem it is found that a+b , b+ca n dc+a are three ...

    Text Solution

    |

  11. If a ,b ,c are different, then the value of |0x^2-a x^3-b x^2+a0x^2+c ...

    Text Solution

    |

  12. If the determinant |[a ,b,2a alpha+3b],[b ,c, 2b alpha+3c],[2a alpha+3...

    Text Solution

    |

  13. If 1.omega, omega^2 are the roots of unity, then Delta=|(1,omega^n,ome...

    Text Solution

    |

  14. If a >0 and discriminant of a x^2+2b x+c is negative, then |[a,b,ax+...

    Text Solution

    |

  15. The value of /\=|[5^2, 5^3, 5^4],[ 5^3, 5^4, 5^5],[ 5^4, 5^5, 5^6]| is...

    Text Solution

    |

  16. |(log)3 512(log)4 3(log)3 8(log)4 9|xx|(log)2 3(log)8 3(log)3 4(log)3 ...

    Text Solution

    |

  17. If a, b, c, are in A.P, then the determinant|x+2x+3x+2a x+3x+4x+2b x+4...

    Text Solution

    |

  18. If A+B+C=pi, then the value of [[sin(A+B+C) , sin(A+C) , cosC],[-sinB...

    Text Solution

    |

  19. The number of distinct real roots of |{:(cosec x, secx, secx), (secx...

    Text Solution

    |

  20. Let A=[[1,sintheta,1],[sintheta,1,sintheta],[-1,-sintheta,1]] where 0l...

    Text Solution

    |