Home
Class 12
MATHS
Let a,b,c , in R not all are equal and...

Let `a,b,c , in R` not all are equal and `Delta_(1)= |{:(a,,b,,c),(b,,c,,a),(c,,a,,b):}|`
`Delta_(2)= |{:(a+2b,,b+3c,,c+4a),(b+2c,,c+3a,,a+4b),(c+2a,,a+3b,,b+4c):}|" then " (Delta_(2))/(Delta_(1)) = "____"`

A

24

B

25

C

`-24`

D

23

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) Level -II|19 Videos

  • DETERMINANT

    FIITJEE|Exercise COMPREHENSIONS -I|3 Videos

  • DETERMINANT

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) Level -II|12 Videos

  • DEFINITE INTEGRAL

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

  • ELLIPSE

    FIITJEE|Exercise NUMERICAL BASED|4 Videos

Similar Questions

Explore conceptually related problems

If Delta_(1)=|(b+c,c+a,a+b),(c+a,a+b,b+c),(a+b,b+c,c+a)| and Delta_(2)=|(a,b,c),(b,c,a),(c,a,b)| then (Delta_(1))/(Delta_(2))= _______

Suppose a,b,c are sides of a scalene triangle. Let Delta=|(a,b,c),(b,c,a),(c,a,b)| Then

If Delta_(1) = |(1,1,1),(a,b,c),(a^(2),b^(2),c^(2))|, Delta_(2) = |(1,bc,a),(1,ca,b),(1,ab,c) | , then

If Delta_(1)=|(b+c,a-b,a),(c+a,b-c,b),(a+b,c-a,c)| and Delta_(2)=|(a,b,c),(b,c,a),(c,a,b)| then Delta_(1)-Delta_(2) equual

If a, b and c are distinct positive real numbers such that Delta_(1) = |(a,b,c),(b,c,a),(c,a,b)| and Delta_(2) = |(bc - a^2, ac -b^2, ab - c^2),(ac - b^2, ab - c^2, bc -a^2),(ab -c^2, bc - a^2, ac - b^2)| , then

If a,b,c are there given non-coplanar vectors and any arbitrary vector r is in space. Where, Delta_(1) =|{:(r.a,b.a,c.a),(r.b,b.b,a.b),(r.a,b.c,c.c):}|, Delta_(2)=|{:(a.a,r.a,c.a),(a.b,r.b,c.b),(a.c,r.c,c.c):}|, Delta_(3) =|{:(a.a,b.a,r.a),(a.b,b.b,r.b),(a.c,b.c,r.c):}|, Delta=|{:(a.a,b.a,c.a),(a.b,b.b,c.b),(a.c,c.c,c.c):}| The value of |{:(a,b,c),(a.p,b.p,c.p),(a.q,b.q,c.q):}| is:

FIITJEE-DETERMINANT-ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-I
  1. If f(x)=|{:(cos(x+alpha),cos(x+beta),cos(x+gamma)),(sin(x+alpha),sin(x...

    Text Solution

    |

  2. The value of f(pi/6) where f(theta)=|{:(cos^2theta,costhetasintheta,-s...

    Text Solution

    |

  3. The system of equation 102x-95y+88z=81,3x+10y+17z=24, 57x+50y+43z=36 h...

    Text Solution

    |

  4. IF ax^3+bx^2+cx+d=|(x^2,(x-1)^2, (x-2)^2),((x-1)^2 (x-2)^2, (x-3)^2), ...

    Text Solution

    |

  5. In a Delta ABC |[1,1,1],[1+sinA,1+sinB,1+sinC][sinA+sin^2A,sinB+sin^2B...

    Text Solution

    |

  6. If a,b,c are sides of a triangle and |(a^(2),b^(2),c^(2)),((a+1)^(2),(...

    Text Solution

    |

  7. The value of |(.^(10)C(4).^(10)C(5).^(11)C(m)),(.^(11)C(6).^(11)C(7).^...

    Text Solution

    |

  8. If D=|{:(2,1,[sin^2theta]),([sin^2theta],costheta,i),(i,1,sintheta):}|...

    Text Solution

    |

  9. If alpha is a root of x^4 = 1 with negative principal argument then th...

    Text Solution

    |

  10. If Delta(x)=|((e^x,sin2x,tanx^2)),((In(1+x),cosx,sinx)),((cosx^2,e^x-1...

    Text Solution

    |

  11. Let x1y1z1,x2y2z2 and x3y3z3 be three 3-digit even numbers and Delta=|...

    Text Solution

    |

  12. If alpha, beta, gamma are the roots of x^(3) + ax^(2) + b = 0, then th...

    Text Solution

    |

  13. The product of all values of t , for which the system of equations (a-...

    Text Solution

    |

  14. Let a,b,c , in R not all are equal and Delta(1)= |{:(a,,b,,c),(b,,c,...

    Text Solution

    |

  15. The value of a for which system of equation , a^3x+(a+1)^3y+(a+2)^3z=0...

    Text Solution

    |

  16. If Delta (x)=|{:(x,1+x^(2),x^(3)),(log(1+x^(2)),e^(x),sinx),(cosx,tanx...

    Text Solution

    |

  17. If ai, bi in N for i 1,2,3, then coefficient of x in the determinant;|...

    Text Solution

    |

  18. Statement 1: The product of two diagonal matrices of order 3 is also ...

    Text Solution

    |

  19. Statement -1 : If Delta(x)=|{:(f1(x),f2(x),f3(x)),(a2,b2,c2),(a3,b3,c3...

    Text Solution

    |

  20. Consider the system of equations x-2y+3z=-1 -x+y-2z=k x-3y+4z=1 ...

    Text Solution

    |