Home
Class 12
MATHS
Without expanding show that the followin...

Without expanding show that the following determinant is equal to Ax+B where A and B are determinants of order 3 not involning x.
`[[x^2+x,x+1,x-2],[2x^2+3x-1,3x,3x-3],[x^2+3x+3,2x-1,2x-1]]`

Promotional Banner

Topper's Solved these Questions

  • MATRICES DETERMINANTS PROBABILITY

    USHA PUBLICATION|Exercise EXERCISE|59 Videos

  • PRACTICE PAPER

    USHA PUBLICATION|Exercise PRACTICE PAPER|95 Videos

Similar Questions

Explore conceptually related problems

Prove the following : [[1,x,x^2],[x^2,1,x],[x,x^2,1]]=(1-x^3)^2

Show that the function f(x) = x^3- 3x^2 + 3x, x in R is increasing on R.

Find derivatives of the following function. ((x+1)(x+2)^2(x+3)^3)/((x-1)(x-2)^2(x-3)^3)

Evaluate the following lim_(xto0) (3x^2 +4x -1) (x^4+2x^3-3x^2 +5x+2)

Show that the tangent to the curve y=x^2+3x-2 at (1,2) is parallel to tangent at (-1,1) to the curve y=x^3+2x .

Integrate the following int(x^4-3x^2+1)^4(2x^3-3x)dx

Integrate the following int(x^2+2x+4)/((x+1)sqrt(x^2+2x-3))

Evaluate the following integrals int(2x^2)/((x-1)(x-2)(x-3))dx

Evaluate the following integrals int(3x^2+2x-1)/(x^3+x^2-x-1)dx

USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Find the distance of the point (3,-4,5)from the plane 2x+5y-6z-19=0 me...

    Text Solution

    |

  2. A variable plane is at a constant distance p from the origin and meets...

    Text Solution

    |

  3. Without expanding show that the following determinant is equal to Ax+B...

    Text Solution

    |

  4. If A=[[0,-tan(alpha/2)],[tan(alpha/2),0]] show that (I+A) =(I-A)[[c...

    Text Solution

    |

  5. Find the probability distribution of number of doublets in four throws...

    Text Solution

    |

  6. What is the value of int0^picos^(101)xdx?

    Text Solution

    |

  7. If f(x)={(3x+2,xle0),(2-3x,xgt0):}

    Text Solution

    |

  8. What is the equation of the plane |r to y-axis and passing through(2,-...

    Text Solution

    |

  9. Find least non negative integer r such that 7xx13xx23xx413 -= r "(mod ...

    Text Solution

    |

  10. For a 2xx2 matrix A,if AxxadjA=[(10,0),(0,10)]then what is the value o...

    Text Solution

    |

  11. Write the Order and degree of the differential equation whose general ...

    Text Solution

    |

  12. With 4 different elements how many different determinant of order 2 ca...

    Text Solution

    |

  13. What is the value of a so that 6hati+2hatj-3hatk and hati-4hatj+ahatk...

    Text Solution

    |

  14. If "sin"^(-1)x+"sin"^(-1)y+"sin"^(-1)z=pi, show that xsqrt(1-x^(2))+ys...

    Text Solution

    |

  15. Find the feasible solution region of the following system:-x+yge-1,x+y...

    Text Solution

    |

  16. If "tan"^(-1) x +"tan" ^(-1) y +"tan"^(-1)z -pi show that x+y+z=xyz.

    Text Solution

    |

  17. If p is a prime and ab-=0 (mod p) then show that either a=0 (mod p) or...

    Text Solution

    |

  18. If A+B+C=pi,then show that Abs((-1,cosC,cosB),(cosC,-1,cosA),(cosB,cos...

    Text Solution

    |

  19. Prove that the following. [[1+a,1,1],[1,1+b,1],[1,1,1+c]] = abc(1+1/...

    Text Solution

    |

  20. If A=[(1,2),(2,3),(3,4)]and B=[(2,3,0),(1,2,3)],then verify that (AB)^...

    Text Solution

    |