Home
Class 12
MATHS
By using properties of determinants, pro...

By using properties of determinants, prove the following `|(x+4,2x,2x),(2x,x+4,2x),(2x,2x,x+4)|=(5x+4)(4-x)^2`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • EXAM REVISION SERIES

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise All Questions|19 Videos

Similar Questions

Explore conceptually related problems

By using properties of determinants. Show that: (i) |(x+4,2x,2x),(2x,x+4,2x),(2x,2x,x+4)|=(5x-4)(4-x)^2 (ii) |(y+k,y,y),(y,y+k,y),(y,y,y+k)|=k^2(3y+k)

By using properties of determinants. Show that: (i) |(x+4,2x,2x),(2x,x+4,2x),(2x,2x,x+4)|=(5x-4)(4-x)^2 (ii) |(y+k,y,y),(y,y+k,y),(y,y,y+k)|=k^2(3y+k)

By using properties of determinants, prove the following: |x+4 2x2x2xx+4 2x2x2xx+4|=(5x+4)(4-x)^2

Using properties of determinants, solve the following for x: |{:(x-2,,2x-3,,3x-4),(x-4,,2x-9,,3x-16),(x-8,,2x-27,,3x-64):}|=0

Using properties of determinants, solve the following for x: |[x-2, 2x-3, 3x-4],[x-4, 2x-9, 3x-16],[ x-8, 2x-27, 3x-64]|=0

Using properties of determinants, solve the following for x: |[x-2, 2x-3, 3x-4],[x-4 ,2x-9, 3x-16], [x-8, 2x-27, 3x-64]|=0

Solve the following inequation . (xx) log_(5x+4)x^2lelog_(5x+4)(2x+3)

Simplify the following 4x-(3x+3)-[2x-4[x+3(x-5)}]

Prove that : |{:(x+a,x+2a,x+3a),(x+2a,x+3a,x+4a),(x+4a,x+5a,x+6a):}|=0

Obtain the different coefficient of the following : (i) (x-1)(2x+5) (ii) (1)/(2x+1) (iii) (3x+4)/(4x+5) (iv) (x^(2))/(x^(3)+1)

XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Solve the following differential equation: (dy)/(dx)+y=cosx-sinx

    Text Solution

    |

  2. For the differential equation , find the particular solution satisfyi...

    Text Solution

    |

  3. By using properties of determinants, prove the following |(x+4,2x,2x),...

    Text Solution

    |

  4. Write the vector equation of the following line: (x-5)/3=(y+4)/7=(6-z...

    Text Solution

    |

  5. Using integration, find the area of the triangle ABC, coordinates o...

    Text Solution

    |

  6. Find the area of circle 4x^2+4y^2=9 which is interior to the parabo...

    Text Solution

    |

  7. If siny=xsin(a+y),\ \ prove that (dy)/(dx)=(sin ^2\ (a+y))/(sina)

    Text Solution

    |

  8. If (cos"x")^y=(sin y)^x , find (dy)/(dx)

    Text Solution

    |

  9. Solve the following differential equation: ((x^2-1)dy)/(dx)+2x y=1/(x...

    Text Solution

    |

  10. Solve the following differential equation: sqrt(1+x^2+y^2+x^2\ y^2)\ ...

    Text Solution

    |

  11. If y=logtan(pi/4+x/2),\ show that (dy)/(dx)=secx. Also find the val...

    Text Solution

    |

  12. If y=cos^(-1)((2^x+1)/(1+4^x)), find (dy)/(dx)

    Text Solution

    |

  13. Evaluate : int0^pi(xtan\ x)/(sec\ x+tan\ x)\ dx

    Text Solution

    |

  14. From the following matrix equation, find the value of x:[[x+y,4],[-5,...

    Text Solution

    |

  15. Prove the following: tan[pi/4+1/2cos^(-1)(a/b)]+tan[pi/4-1/2cos^(-1)...

    Text Solution

    |

  16. Form the differential equation representing the family of ellipses ...

    Text Solution

    |

  17. Prove the following, using properties of determinants: |[a+b+2c,a,b],[...

    Text Solution

    |

  18. Find the inverse of A=[[3,-1],[-4,1]] using elementary transformations...

    Text Solution

    |

  19. Using properties of determinants, prove the following |(a^2+1,ab,ac),(...

    Text Solution

    |

  20. If y=(t a n^(-1)\ x)^2 , show that (x^2+1)^2(d^2\ y)/(dx^2)+2x(x^2+1)(...

    Text Solution

    |