Home
Class 12
MATHS
Which of the following has/have value eq...

Which of the following has/have value equal to zero? `|8 2 7 12 3 5 16 4 3|` b.`|1//a a^2b c1//bb^2a c1//cc^2a b|` c.`|a+b2a+b3a+b2a+b3a+b4a+b4a+b5a+b6a+b|` d. `|2 43 3 7 35 4 3 17 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

If |b+cc+a a+b a+bb+cc+a c+a a+bb+c|=k|a b cc a bb c a| , then value of k is 1 b. 2 c. 3 d. 4

Simplify : (2a+3b+4c) ( 4a^(2) + 9b^(2) + 16c^(2) -6ab - 12bc - 8ca )

If (log)_4 5=aa n d(log)_5 6=b , then (log)_3 2 is equal to 1/(2a+1) (b) 1/(2b+1) (c) 2a b+1 (d) 1/(2a b-1)

If sides of triangle A B C are a , ba n dc such that 2b=a+c then b/c >2/3 (b) b/c >1/3 b/c<2 (d) b/c<3/2

Factorize the following |3a+b+c a^3+b^3+c^3a+b+c a^2+b^2+c^2a^4+b^4+c^4a^2+b^2 +c^2a^3+b^3+c^3a^5+b^5+c^5|

In an acute angled triangle A B C ,r+r_1=r_2+r_3a n d/_B >pi/3, then b+2c<2a<2b+2c b+4c<4a<2b+4c b+4c<4a<4b+4c b+3c<3a<3b+3c

Find the value of a , b , c , d , x , y from the following matrix equation . ({:(d , 8) , (3b , a):}) + ({:(3 , a) , (-2 , -4):})= ({:(2 , 2a) , (b , 4c):}) + ({:(0 , 1) , (-5 , 0):})

Let D be the middle point of the side B C of a triangle A B Cdot If the triangle A D C is equilateral, then a^2: b^2: c^2 is equal to 1:4:3 (b) 4:1:3 (c) 4:3:1 (d) 3:4:1

If (log)_3{5+4(log)_3(x-1)}=2, then x is equal to 4 (b) 3 (c) 8 (d) (log)_2 16

CENGAGE-DETERMINANTS-All Questions
  1. If w is a complex cube root of unity, then value of =|a1+b1w a1w^2+b1c...

    Text Solution

    |

  2. Let f(x)=|cos(x+x^2)sin(x+x^2)- cos(x+x^2)...

    Text Solution

    |

  3. Which of the following has/have value equal to zero? |8 2 7 12 3 5 16 ...

    Text Solution

    |

  4. If f(x),g(x)a n dh(x) are three polynomials of degree 2, then prove th...

    Text Solution

    |

  5. If a ,b ,c are in G.P. with common ratio r1a n dalpha,beta,gamma are...

    Text Solution

    |

  6. Show that: |a b-cc+b a+c b c-a a-bb+a c|=(a+b+c)(a^2+b^2+c^2)dot

    Text Solution

    |

  7. In triangle A B C , if |1 1 1cotA/2cotB/2cotC/2tanB/2+tanC/2tanB/2+tan...

    Text Solution

    |

  8. If a ,b ,c ,d ,e, and fare in G.P. then the value of |((a^2),(d^2),x)...

    Text Solution

    |

  9. Prove that: |[(b+c)^2,a^2,a^2],[b^2,(c+a)^2,b^2],[c^2,c^2,(a+b)^2]|=2a...

    Text Solution

    |

  10. " if " x(i) =a(i) b(i) C(i) i= 1,2,3 are three- digit positive integer...

    Text Solution

    |

  11. The system of linear equations x+lambday-z=0 lambdax-y-z=0 x+y-lambd...

    Text Solution

    |

  12. If p q r!=0 and the system of equation (p+a)x+b y+c z=0 a x+(q+b)...

    Text Solution

    |

  13. If c<1 and the system of equations x+y-1=0,2x-y-c=0,a n db x+3b y-c=0 ...

    Text Solution

    |

  14. Prove that |(x^2,x^2-(y-z)^2,yz),(y^2,y^2-(z-x)^2,zx),(z^2,z^2-(x-y)^2...

    Text Solution

    |

  15. If a,b and c are real numbers, and Delta ={:[( b+c,C+a,a+b),( c+a,a...

    Text Solution

    |

  16. If a , b , c are non-zero, then the system of equations (alpha+a)x+alp...

    Text Solution

    |

  17. Prove that |a b+c a^2b c+a b^2c a+b c^2|=-(a+b+c)xx(a-b)(b-c)(c-a)dot

    Text Solution

    |

  18. If a >0 and discriminant of a x^2+2b x+c is negative, then |[a,b,ax+...

    Text Solution

    |

  19. If |(a-b-c,2a,2a),(2b,b-c-a,2b),(2c,2c,c-a-b)|=(a+b+c) xx(x + a + b...

    Text Solution

    |

  20. If a(1), a(2), a(3), ………, a(n)….. are in G.P., then the determinant De...

    Text Solution

    |