Home
Class 12
MATHS
The det Delta=|{:(d^2+r,de,df),(de,e^2+r...

The det `Delta=|{:(d^2+r,de,df),(de,e^2+r,ef),(df,ef,f^2+r):}|` is divisible by

A

`r^(2)`

B

`(d+e^(2)+f^(2)+r)`

C

`(d^(2)+e^(2)+f^(3)+r)`

D

`(d^(2)+e+f^(2)+r^(2))`

Text Solution

Verified by Experts

The correct Answer is:
A, C
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS TIPS

    FIITJEE|Exercise PARAGRAPH BASED (MULTIPLE CHOICE) (COMPREHENSION-I)|3 Videos

  • MATHEMATICS TIPS

    FIITJEE|Exercise PARAGRAPH BASED (MULTIPLE CHOICE) (COMPREHENSION-II)|3 Videos

  • MATHEMATICS TIPS

    FIITJEE|Exercise ASSERTION - REASONING|8 Videos

  • MATHEMATICS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|15 Videos

  • MATRICES

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

Suppose a,b,c,d,e and f are in G.P with common ratio >1. Let p.q.r be three real numbers.Let Delta=det[[a,d^(2),pb^(2),e^(2),qc^(2),f,r]]. Then Delta depends on

Instead of the usual definition of derivative Df(x), if we define a new kind of derivative D^*F(x) by the formula D*f(x)=lim_(h->0)(f^2(x+h)-f^2(x))/h ,w h e r ef^2(x) mean [f(x)]^2 and if f(x)=xlogx ,then D^*f(x)|_(x=e) has the value (A)e (B) 2e (c) 4e (d) none of these

people living at Mars ,instead of the usual definition of derivative Df(x) define a new kind of derivative Df(x) by the formula Df(x)=lim_(h->0) (f^2(x+h)-f^2(x))/h where f^x means [f(x)]^2. If f(x)=xInx then Df(x)|_(x=e) has the value (a) e (b) 2e (c) 4e (d) non

Matrix M_(r) is defined as M_(r) = ({:(r,r-1),(r-1,r):}), r in N. The value of det (M_(1)) + det (M_(2)) + det (M_(3))+ .... ) det (M_(2014)) is

In the given figure,ABC is an equilateral triangle which is inscribed inside a circle and whose radius is r .Which of the following is the area of the triangle? (r+DE)^((1)/(2))(r-DE)^((3)/(2))(b)(r-DE)^((1)/(2))(r+DE)^(2)(c)(r-DE)^((1)/(2))(r+DE)^(2)(d)(r-DE)^((1)/(2))(r+DE)^((3)/(2))(d)

In figure, seg EF is a diameter and seg DF is a tangent segment. The radius of the circle is r. Prove that, DExxGE=4r^(2) .

In the adjoining figure , seg EF is a diameter and seg DF is a tangent segment. The radius of the circle is r. Prove that, DEtimesGE=4r^2 .

If Delta DEF[-=sim?]Delta BCA, write the part (s) of Delta BCA that correspond to (i) /_E( ii) /_EF (iii)

FIITJEE-MATHEMATICS TIPS-MCQ (MULTIPLE CORRECT)
  1. Let vec(a)=2hati-hatj+hatk,vec(b)=hati+2hatj-hatk and vec( c )=hati+ha...

    Text Solution

    |

  2. If P(z(1)),Q(z(2)),R(z(3)) " and " S(z(4)) are four complex numbers re...

    Text Solution

    |

  3. The largest coefficient in the expansion of (4+3x)^(25) is

    Text Solution

    |

  4. Given that the 4th term in the expansion of [2+(3//8x)]^(10) has the m...

    Text Solution

    |

  5. If Deltar=|[2^(r-1),1/(r(r+1)),sin rtheta],[x, y, z],[2^n-1, n/(n+1),(...

    Text Solution

    |

  6. If a, b, c are even natural numbers, then Delta=|{:(a-1,a,a+1),(b-1,b,...

    Text Solution

    |

  7. There are n locks and n matching keys. If all the locks and keys are t...

    Text Solution

    |

  8. The number of ways in which we can choose 2 distinct integers from 1 t...

    Text Solution

    |

  9. Let n be a positive integer with f(n) = 1! + 2! + 3!+.........+n! and ...

    Text Solution

    |

  10. If m and n are positive integers more than or equal to 2, mgtn, then (...

    Text Solution

    |

  11. A drawer contains red and black balls. When two balls are drawn at ran...

    Text Solution

    |

  12. If A, B, C and D are four points with position vectors 3hati, 3hatj, 3...

    Text Solution

    |

  13. If |(a,b,aalpha+b),(b,c,balpha+c),(a alpha+b,b alpha+c,0)|=0 then

    Text Solution

    |

  14. The equation x^3/4((log)2x)^(2+(log)2x-5/4)=sqrt(2) has (1989, 2M) at ...

    Text Solution

    |

  15. If first and (2n-1)^th terms of an AP, GP. and HP. are equal and the...

    Text Solution

    |

  16. The nature of the intersection of the set of planes: 2x-4y+2z=5,5x-y...

    Text Solution

    |

  17. Let PM be the perpendicualr from the point P(1, 2, 3) to x-y plane. If...

    Text Solution

    |

  18. The det Delta=|{:(d^2+r,de,df),(de,e^2+r,ef),(df,ef,f^2+r):}| is divis...

    Text Solution

    |

  19. The inverse of a skew symmetric matrix is

    Text Solution

    |

  20. The number of ways of choosing triplet (x , y ,z) such that zgeqmax{x,...

    Text Solution

    |