Home
Class 12
MATHS
" If " |{:(x^(2)+x,,x+1,,x-2),(2x^(2)+3...

`" If " |{:(x^(2)+x,,x+1,,x-2),(2x^(2)+3x-1,,3x,,3x-3),(x^(2)+2x+3,,2x-1,,2x-1):}|=xA +B` then

Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Exercise 4(b) (LONG ANSWER TYPE QUESTIONS (II))|48 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Exercise 4(c ) (SHORT ANSWER TYPE QUESTIONS)|4 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Exercise 4(b) (SHORT ANSWER TYPE QUESTIONS)|11 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (9)|12 Videos

Similar Questions

Explore conceptually related problems

Without expanding a determinant at any stage, show that |{:(x^(2)+x, x+1, x+2),(2x^(2) +3x-1, 3x, 3x-3),(x^(2) +2x+3, 2x-1, 2x-1):}|=xA+B where A and B are determinants of order 3 not involving x.

If |(x^2+x,x+1,x-2),(2x^2+3x-1,3x,3x-3),(x^2+2x+3,2x-1,2x-1)|=ax-12 then 'a' is equal to (1) 12 (2) 24 (3) -12 (4) -24

y=|(x^2+x, x+1, x-2),(2x^2+3x+1, 3x, 3x-3),(x^2+3x+2, 2x-1, 2x-1)| represents (A) a straight line (B) a circle (C) a parabola (D) none of these

x ^ (2) + 2x + 3x = 1

If |{:(x^(2) +x , 3x - 1 , -x + 3),(2x +1 , 2 + x^(2) , x^(3) - 3),(x - 3, x^(2) + 4, 3x):}| = a_(0) + a_(1) x + a_(2) x^(2) + .... + x_(7) x^(7), then the value of a_(0) is

(x^(2)-x)-(1)/(2)(x-3+3x^(2))

[[3x^(2),3x,1x^(2)+2x,2x+1,12x+1,x+2,1]]=(x-1)^(3)

im_(-)>1[(x-2)/(x^(2)-x)-(1)/(x^(3)-3x^(2)+2x)]

If f(x)=|{:(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x(x-1)):}| then

lim_(xrarr1) [(x-2)/(x^(2)-x)-(1)/(x^(3)-3x^(2)+2x)]

MODERN PUBLICATION-DETERMINANTS-Exercise 4(b) (LONG ANSWER TYPE QUESTIONS (I))
  1. Using the property of determinants and without expanding, prove that |...

    Text Solution

    |

  2. Without actual expansion, prove that the following determinants vanish...

    Text Solution

    |

  3. Using the property of determinants and without expanding in questions ...

    Text Solution

    |

  4. Prove that |{:(1, a, a^(2)-bc),(1, b, b^(2)-ca), (1, c, c^(2)-ab):}|=...

    Text Solution

    |

  5. witout expanding at any stage Prove that |{:(0,,a,,-b),(-a,,0,,-...

    Text Solution

    |

  6. Without actual expansion, prove that the following determinants vanish...

    Text Solution

    |

  7. The value of the determinant |{:(1,bc,a(b+c)),(1,ca,b(a+c)),(1, ab,c(a...

    Text Solution

    |

  8. Without expanding the determinants show that : ((1)/(a)+(1)/(b)+(1)/...

    Text Solution

    |

  9. Prove that : |{:(x-y-z,2x,2x),(2y,y-z-x,2y),(2z,2z,z-x-y):}|

    Text Solution

    |

  10. Without expanding the determinant, prove that |a a^2b c bb^2c a cc^2a ...

    Text Solution

    |

  11. Show without expanding at any stage that: [0,sinalpha-cosalpha],[-sin...

    Text Solution

    |

  12. " If " |{:(x^(2)+x,,x+1,,x-2),(2x^(2)+3x-1,,3x,,3x-3),(x^(2)+2x+3,,2x...

    Text Solution

    |

  13. Evaluate the following : |{:(b+c,a,a),(b,c+a,b),(c,c,a+b):}|

    Text Solution

    |

  14. Evaluate the following : |{:(x+lambda,x,x),(x,x+lambda,x),(x,x,x+lam...

    Text Solution

    |

  15. Evaluate the following: |[1, a, b+c],[1, b, c+a],[1, c, a+b]|

    Text Solution

    |

  16. Evaluate: [[x,y,x+y],[y,x+y,x],[x+y,x,y]]

    Text Solution

    |

  17. Evaluate the following: |[1,x,y],[1, x+y, y],[1, x, x+y]|

    Text Solution

    |

  18. Prove that: |[b+c, c=a, a+b],[q+r, r+p, p+q],[y+z, z+x, x+y]|=2|[a,b,...

    Text Solution

    |

  19. Use the properties of determinant and without expanding prove that |...

    Text Solution

    |