Home
Class 12
MATHS
If y=|[sinx,cosx,sinx],[cosx,-sinx,cosx]...

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

Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    CENGAGE PUBLICATION|Exercise Multiple Correct Answer|5 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

If y=tan^(-1)""(cosx+sinx)/(cosx-sinx)," then find "(dy)/(dx).

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

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

If y=(1+sinx-cosx)/(1+sinx+cosx), " show that, " (dy)/(dx)=(1)/(1+cos x).

If f(x)={:[(cosx,-sinx,0),(sinx,cosx,0),(0,0,1)] show that f(alpha)f(beta)=f(alpha+beta) .

Solve |sinx+cosx|=|sinx|+|cosx|,x in [0,2pi] .

int sinx/(sin x - cosx) dx

int dx/(3sinx + 4cosx)

int (e^(logx)+sinx)cosx dx

If y={(log)_(cosx)sinx}{(log)_(sinx)cosx}^(-1)+sin^(-1)((2x)/(1+x^2)), find (dy)/(dx)a tx=pi/4

CENGAGE PUBLICATION-DETERMINANTS-All Questions
  1. Show that the system of equations 3x-y + 4z = 3, x + 2y-3z =-2 and 6x ...

    Text Solution

    |

  2. The determinant |(a^(2)+10,ab, ac),(ab, b^(2)+10, bc),(ac, bc, c^(2)...

    Text Solution

    |

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

    Text Solution

    |

  4. Consider the system of equation x+y+z=6,x+2y+3z=10 ,a n dx+2y+lambdaz=...

    Text Solution

    |

  5. Consider the system linear equations in x ,y ,a n dz given by (sin3the...

    Text Solution

    |

  6. If alpha,beta "and" gamma are real number without expanding at any sta...

    Text Solution

    |

  7. If 3 digit numbers A28, 3B9 and 62C are divisible by a fixed constant ...

    Text Solution

    |

  8. If a=costheta+isintheta,b=cos2theta-isin2theta,c=cos3theta+i sin3theta...

    Text Solution

    |

  9. Prove that |[a1alpha1+b1beta1, a1alpha2+b1beta2, a1alpha3+b1beta3], [a...

    Text Solution

    |

  10. If alpha,beta,gamma are the roots of p x^3+q x^2+r=0, then the value o...

    Text Solution

    |

  11. Show that abs(((a-x)^2,(a-y)^2,(a-z)^2) , ((b-x)^2,(b-y)^2,(b-z)^2) ...

    Text Solution

    |

  12. If |[1, x, x^2], [x, x^2, 1], [x^2, 1, x]|=3, then find the value ...

    Text Solution

    |

  13. If |[x^n, x^(n+2), x^(n+3)], [y^n, y^(n+2), y^(n+3)], [z^n, z^(n+2), z...

    Text Solution

    |

  14. Solve the system of the equations: a x+b y+c z=d, a^2x+b^2y+c^2z=d^2,...

    Text Solution

    |

  15. If |[a,b-c,c+b],[a+c,b,c-a],[a-b,a+b,c]|=0 , then the line a x+b y+c=0...

    Text Solution

    |

  16. If 2a x-2y+3z=0,x+a y+2z=0,a n d, 2x+a z=0 have a nontrivial solutio...

    Text Solution

    |

  17. If [] denotes the greatest integer less than or equal to the real numb...

    Text Solution

    |

  18. If f(x)=a+b x+c x^2 and alpha,beta,gamma are the roots of the equation...

    Text Solution

    |

  19. If x ,y \ a n d \ z are not all zero and connected by the equations ...

    Text Solution

    |

  20. Find lambda for which the system of equations x+y-2z=0,2x-3y+z=0,x-...

    Text Solution

    |