Home
Class 12
MATHS
If a,b,and c are the side of a triangle ...

If a,b,and c are the side of a triangle and A,B and C are the angles opposite to a,b,and c respectively, then
`Delta=|{:(a^(2),bsinA,CsinA),(bsinA,1,cosA),(CsinA,cos A,1):}|` is independent of

A

sinA-sin C sinB

B

abc

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
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

In a Delta ABC , a, b, c are sides and A, B, C are angles opposite to them, then the value of the determinant |(a^(2),b sin A,c sin A),(b sin A,1,cos A),(c sin A,cos A,1)| , is

Let a,b,c be the sides of a triangle ABC, a=2c,cos(A-C)+cos B=1. then the value of C is

If A, B and C denote the angles of a triangle, then Delta = |(-1,cos C,cos B),(cos C,-1,cos A),(cos B,cos A,-2)| is independent of

If a,b,c are the sides of a triangle then a/(b+c-1)+b/(c+a-b)+c/(a+b-c)=

In a right triangle with legs a and b and hypotenuse c, angles A,B and C are opposite to the sides a,b and c respectively, then e^(lnb-lna) is equal to-

In a triangle ABC, sin A- cos B = Cos C , then angle B is

If a , b , c are the sides of triangle , then the least value of (a)/(c+a-b)+(b)/(a+b-c)+(c )/(b+c-a) is

The sides of a triangle are in AP. If the angles A and C are the greatest and smallest angle respectively, then 4 (1- cos A) (1-cos C) is equal to

If A, B, C are the angles of a triangle ABC and if cosA=(sinB)/(2sinC) , show that the triangle is isosceles.

In a triangle ABC , if a,b,c are the sides opposite to angles A , B , C respectively, then the value of |{:(bcosC,a,c cosB),(c cosA,b,acosC),(acosB,c,bcosA):}| is (a) 1 (b) -1 (c) 0 (d) acosA+bcosB+c cosC

VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -JEE ADVANCED ARCHIVE
  1. If a,b,and c are the side of a triangle and A,B and C are the angles o...

    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

    |