Home
Class 12
MATHS
Let a , ba n dc detnote the sides B C ,C...

Let `a , ba n dc` detnote the sides `B C ,C Aa n dA B` respectively of ` A B Cdot` If `|1a b1c a1b c|=0`

A

`9/4`

B

`4/9`

C

`1`

D

`3sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    VMC MODULES ENGLISH|Exercise LEVEL 2|47 Videos
  • MATRICES AND DETERMINANTS

    VMC MODULES ENGLISH|Exercise Numerical ValueType for JEE Main|15 Videos
  • JEE MAIN REVISON TEST-23

    VMC MODULES ENGLISH|Exercise MATHEMATICS (SECTION 2)|5 Videos
  • MOCK TEST 1

    VMC MODULES ENGLISH|Exercise PART III : MATHEMATICS (SECTION-2)|10 Videos

Similar Questions

Explore conceptually related problems

Let a ,\ b and c denote the sides B C ,\ C A and A B respectively of A B C . If |1a b1c a1b c|=0, then find the value of sin^2A+sin^2B+sin^2C .

Let a , b and c detnote the sides BC,CA and AB respectively of triangle ABC . If |[1,a, b],[1,c, a],[1,b ,c]|=0 . find the value of sin^2A+sin^2B+sin^2C

Let D ,Ea n dF be the middle points of the sides B C ,C Aa n dA B , respectively of a triangle A B Cdot Then prove that vec A D+ vec B E+ vec C F= vec0 .

Let D ,Ea n dF be the middle points of the sides B C ,C Aa n dA B , respectively of a triangle A B Cdot Then prove that vec A D+ vec B E+ vec C F= vec0 .

If D ,E ,F are the mid-points of the sides B C ,C Aa n dA B respectively of a triangle A B C , prove by vector method that A r e aof D E F=1/4(a r e aof A B C)dot

In triangle A B C ,points D , Ea n dF are taken on the sides B C ,C Aa n dA B , respectively, such that (B D)/(D C)=(C E)/(E A)=(A F)/(F B)=ndot Prove that triangle D E F=(n^2-n+1)/((n+1)^2) triangle(A B C)dot

In Figure, Pa n dQ are the midpoints of the sides C Aa n dC B respectively of A B C right angled at C. Prove that 4(A Q^2+B P^2)=5A B^2 .

From a point O inside a triangle A B C , perpendiculars O D ,O Ea n dOf are drawn to rthe sides B C ,C Aa n dA B , respecrtively. Prove that the perpendiculars from A ,B ,a n dC to the sides E F ,F Da n dD E are concurrent.

If the angle A ,Ba n dC of a triangle are in an arithmetic propression and if a , ba n dc denote the lengths of the sides opposite to A ,Ba n dC respectively, then the value of the expression a/csin2C+c/asin2A is (a) 1/2 (b) (sqrt(3))/2 (c) 1 (d) sqrt(3)

A B C D is a quadrilateral; P , Q , Ra n dS are the points of trisection of side A B ,B C ,C Da n dD A respectively and are adjacent to Aa n dC ; prove that P Q R S is parallelogram.

VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -JEE ADVANCED ARCHIVE
  1. Let a , ba n dc detnote the sides B C ,C Aa n dA B respectively of A ...

    Text Solution

    |

  2. If A and B are square martrices of equal degree, then which one is co...

    Text Solution

    |

  3. If A=[(1,0,0),(0,1,1),(0,-2,4)],6A^-1=A^2+cA+dI, then (c,d)=

    Text Solution

    |

  4. about to only mathematics

    Text Solution

    |

  5. If A=[[alpha,0],[ 1, 1]] and B=[[1, 0],[ 5, 1]], find the values of al...

    Text Solution

    |

  6. Let P=[a(i j)] be a 3xx3 matrix and let Q=[b(i j)],w h e r eb(i j)=2^(...

    Text Solution

    |

  7. If A=|[alpha,2], [2,alpha]| and |A|^3=125 , then the value of alpha ...

    Text Solution

    |

  8. The number of distinct real roots of |(sinx, cosx, cosx),(cos x,sin x,...

    Text Solution

    |

  9. Let "f(x)"=|{:(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x...

    Text Solution

    |

  10. The parameter on which the value of the determinant |[1,a...

    Text Solution

    |

  11. The determinant |x p+y x y y p+z y z0x p+y y p+z|=0 if x ,y ,z

    Text Solution

    |

  12. Consider the set A of all matrices of order 3 xx 3 with entries 0 or 1...

    Text Solution

    |

  13. If A is a 3xx3 non-singular matrix such that A A' = A' A and B = A^(...

    Text Solution

    |

  14. If P is a 3xx3 matrix such that P^(T) = 2 P + I , where P^(T) is the...

    Text Solution

    |

  15. Let omega!=1 be cube root of unity and S be the set of all non-singula...

    Text Solution

    |

  16. Let M and N be two 3xx3 nonsingular skew-symmetric matrices such that ...

    Text Solution

    |

  17. The number of 3xx3 matrices A whose entries are either 0or1 and for wh...

    Text Solution

    |

  18. Given , 2x-y+2z=2, x-2y+z=-4, x+y+lambdaz=4, then the value of lam...

    Text Solution

    |

  19. The number of values of k for which the system of the equations (k+1)x...

    Text Solution

    |

  20. If the system of equations x-k y-z=0, k x-y-z=0,x+y-z=0 has a nonzero ...

    Text Solution

    |

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

    Text Solution

    |