Home
Class 12
MATHS
Given A=|a b 2c d e 2f l m 2n|,B=|f 2d e...

Given `A=|a b 2c d e 2f l m 2n|,B=|f 2d e 2n 4l 2m c 2a b|` , then the value of `B//A` is ___________.

Text Solution

Verified by Experts

The correct Answer is:
5

`B =2xx2 |{:(f,,d,,e),(n,,l,,m),(c,,a,,b):}|`
`=2 |{:(2f,,d,,e),(2n,,l,,m),(2c,,a,,b):}|`
`=2|{:(2f,,a,,b),(2n,,d,,e),(2c,,l,,m):}|" "[R_(3) hArr R_(2) " and then "R_(2) hArr R_(2)]`
`=2 |{:(a,,b,,2c),(d,,e,,2f),(l,,m,,2n):}|" "[C_(1) hArr C_(2) " and then " C_(2) hArr C_(3)]`
`=2A`
`:. B//A =2`
Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    CENGAGE|Exercise Multiple Correct Answer|5 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE|Exercise Exercise|337 Videos

Similar Questions

Explore conceptually related problems

Given A=|a b2c d e2fl m2n|,B=|f2d e2n4l2m c2a b| , then the value of B//A is ___________.

If intx^2dote^(-2x)dx=e^(-2x)(a x^2+b x+c)+d , then the value of |a/(b c)| is______

Let D_1=|a b a+b c d c+d a b a-b|a n dD_2=|a c a+c b d b+d a c a+b+c| then the value of |(D_1)/(D_2)|,w h e r eb!=0a n da d!=b c , is _____.

Let D_1=|a b a+b c d c+d a b a-b|a n dD_2=|a c a+c b d b+d a c a+b+c| then the value of |(D_1)/(D_2)|,w h e r eb!=0a n da d!=b c , is _____.

Let a,b,c,d and e be positive real numbers such that a+b+c+d+e=15 and ab^2c^3d^4e^5=(120)^3xx50 . Then the value of a^2+b^2+c^2+d^2+e^2 is ___________.

If a ,b ,c ,d ,e ,f are A.M.s between 2 and 12, then find the sum a+b+c+d+e+fdot

In fig. A B ,D Ea n dG F are parallel to each other and A D ,B Ga n dE F are parallel to each other. If C D : C E=C G : C B=2:1, then the value of area ( A E G): area ( A B D) is equal to 7//2 b. 3 c. 4 d. 9//2

A B C is a right-angled triangle in which /_B=90^0 and B C=adot If n points L_1, L_2, ,L_nonA B is divided in n+1 equal parts and L_1M_1, L_2M_2, ,L_n M_n are line segments parallel to B Ca n dM_1, M_2, ,M_n are on A C , then the sum of the lengths of L_1M_1, L_2M_2, ,L_n M_n is (a(n+1))/2 b. (a(n-1))/2 c. (a n)/2 d. none of these

If a ,b ,c ,d ,e ,a n df are in G.P. then the value of |a^2d^2x b^2e^2y c^2f^2z| depends on xa n dy b. xa n dz c. ya n dz d. independent of x ,y ,a n dz

If p=(8+3sqrt(7))^n a n df=p-[p],w h e r e[dot] denotes the greatest integer function, then the value of p(1-f) is equal to a. 1 b. 2 c. 2^n d. 2^(2n)

CENGAGE-DETERMINANTS-All Questions
  1. Given A=|a b 2c d e 2f l m 2n|,B=|f 2d e 2n 4l 2m c 2a b| , then the v...

    Text Solution

    |

  2. Statement 1: If b c+q r=c a+r p=a b+p q=-1, t h e n|a p a p b q b q c...

    Text Solution

    |

  3. If f(theta)=|sinthetacosthetasintheta costhetasinthetacostheta costhet...

    Text Solution

    |

  4. If f(theta)=|[sin^2A,cot A,1],[sin^2B,cosB,1],[sin^2C,cosC,1]| , then...

    Text Solution

    |

  5. The roots of the equation |^x Cr^(n-1)Cr^(n-1)C(r-1)^(x+1)Cr^n Cr^n C(...

    Text Solution

    |

  6. Let Delta(x)=|[3,3x,3x^2+2a^2] , [3x, 3x^2+2a^2, 3x^3+6a^2x] , [3x^2+2...

    Text Solution

    |

  7. The determinant "Delta"=|(a^2+x) ab ac ab (b^2+x) bc ac bc (c^2+...

    Text Solution

    |

  8. If f(x)=|[a,-1, 0],[a x, a,-1],[a x^2,a x, a]|,t h e nf(2x)-f(x) is d...

    Text Solution

    |

  9. If g(x)-(f(x))/((x-a)(x-b)(x-c)),w h e r ef(x) is a polynomial of d...

    Text Solution

    |

  10. If (x)= |x^2+4x-3 2x+4 13 ...

    Text Solution

    |

  11. If |y z-x^2z x-y^2x y-z^2x z-y^2x y-z^2y z-x^2x y-z^2y z-x^2z x-y^2|=|...

    Text Solution

    |

  12. Let f (n) = |{:(n,,n+1,,n+2),(.^(n)P(n),,.^(n+1)P(n+1),,.^(n+2)P(n+2)...

    Text Solution

    |

  13. If |x^n x^(n+2)x^(2n)1x^a a x^(n+5)x^(a+6)x^(2n+5)|=0,AAx in R ,w h e...

    Text Solution

    |

  14. Let x<1, then value of [[x^2+2, 2x+1 ,1],[ 2x+1,x+2, 1],[ 3, 3 ,1]...

    Text Solution

    |

  15. If f (x) = |(0,x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)|then

    Text Solution

    |

  16. Value of [[x+y, z,z ],[x, y+z, x],[y, y, z+x]], where x ,y ,z are non...

    Text Solution

    |

  17. Which of the following is not the root of the equation |[x,-6,-1],[ 2,...

    Text Solution

    |

  18. If A,B,C are the angles of a non right angled triangle ABC. Then find ...

    Text Solution

    |

  19. If f(x)=|x a a a x a a a x|=0, then f^(prime)(x)=0a n df^(x)=0 has com...

    Text Solution

    |

  20. Evaluate {:[( cos alpha cos beta , cos alpha sin beta , -sin alpha ),...

    Text Solution

    |

  21. Roots of the equation |x m n1a x n1a b x1a b c1|=0 are independent of ...

    Text Solution

    |