Home
Class 12
MATHS
If a,b,c are in A.P. then the determinan...

If a,b,c are in A.P. then the determinant
` {:[( x+2,x+3,x+2a),( x+3,x+4,x+2b),( x+4,x+5,x+2c)]:}` is

A

`0`

B

`1`

C

`x`

D

`2x`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    NCERT TAMIL|Exercise EXERCISE 4.6|16 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT TAMIL|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 5|23 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT TAMIL|Exercise MISCELLANEOUS EXERCISE|18 Videos

Similar Questions

Explore conceptually related problems

If a-2b+c=1 , then the value of |{:(x+1,x+2,x+a),(x+2,x+3,x+b),(x+3,x+4,x+c):}| is

If a ,b ,c are different, then the value of x for which |[0,x^2-a, x^3-b], [x^2+a,0,x^2+c ],[x^4+b, x-c,0]|=0 is

if (x_(1),x_(2))^(2)+(y_(1)-y_(2))^(2)=a^(2), (x_(2)-x_(3))^(2)+(y_(2)-y_(3))^(2)=b^(2) (x_(3)-x_(1))^(2)+(y_(3)-y_(1))^(2)=c^(2). where a,b,c are positive then prove that 4 |{:(x_(1),,y_(1),,1),(x_(2) ,,y_(2),,1),( x_(3),, y_(3),,1):}| = (a+b+c) (b+c-a) (c+a-b)(a+b-c)

If x , y , z are in A.P. , then the value of the determinant are in A.P. , then the value of the determinant |a+2a+3a+2x a+3a+4a+2y a+4a+5a+2z| is a. 1 b. 0 c. 2a d. a

If a ,b ,c ,d in R , then the equation (x^2+a x-3b)(x^2-c x+b)(x^2-dx+2b)=0 has a. 6 real roots b. at least 2 real roots c. 4 real roots d. none of these

If a ,b ,c are different, then the value of |0x^2-a x^3-b x^2+a0x^2+c x^4+b x-c0|=0 is c b. c c. b d. 0

Find the values of "a" and "b" given that p(x) = (x^2 + 3x+2) (x^2 - 4x+a) g(x) =(x^2 - 6x+9) (x^2 + 4x+b) and their G.C.D. is (x+2) (x-3)

Discuss the extremum of f(x)=2x^3-3x^2-12 x+5 for x in [-2,4]

A random variable X has the following distribution. {:(x,1,2,3,4),(p(X=x),c,2c,3c,4c):} then the value of c is …………… .

The equation (x^(2)+3x+4)^(2)+3(x^(2)+3x+4)+4=x has

NCERT TAMIL-DETERMINANTS -Miscellaneous Exercises on Chapter 4
  1. Prove that the determinant {:[( x, sin theta ,cos theta ),( -sin thet...

    Text Solution

    |

  2. Without expanding the determinant, prove that {:[( a, a ^(2), bc ),( ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. Solve the equation {:[( x+a,x,x),(x,x+a,x),(x,x,x+a) ]:}=0,ane 0

    Text Solution

    |

  6. Prove that {:[( a^(2) , bc, ac+c^(2)),( a^(2) +ab,b^(2) ,ac),( ab,b^(2...

    Text Solution

    |

  7. If A^(-1) ={:[( 3,-1,1),(-15,6,-5),(5,-2,2) ]:}and B= {:[( 1,2,-2),( -...

    Text Solution

    |

  8. Let A = {:[( 1,2,1),(2,3,1),(1,1,5) ]:} Verify that (A^(-1) )^(-1) =...

    Text Solution

    |

  9. Evaluate {:[( x,y , x+y),( y,x+y,x),( x+y,x,y)]:}

    Text Solution

    |

  10. Evaluate {:[(1,x,y),( 1,x+y,y),( 1,x,x+y)]:}

    Text Solution

    |

  11. Using properties of determinants in Exercises prove that : {:[( alph...

    Text Solution

    |

  12. {:[( x,x^(2) , 1+ px^(3) ),( y,y^(2) , 1+ py^(3)),( z,z^(2) , 1+pz^(3)...

    Text Solution

    |

  13. solve {:[( 3a,-a+b,-a+c),( -b+a, 3b,-b+c) ,( -c+a,-c+b,3c) ]:} = 3( a+...

    Text Solution

    |

  14. {:[( 1,1+p,1+p+q),( 2,3+2p,4+3p+2q),( 3,6+3p,10+6p+3q)]:}=1

    Text Solution

    |

  15. Without expanding evaluate the determinant |(sinalpha,cosalpha,sin(alp...

    Text Solution

    |

  16. Solve system of linear equations , using matrix method 2x+ 3y + ...

    Text Solution

    |

  17. If a,b,c are in A.P. then the determinant {:[( x+2,x+3,x+2a),( x+3,...

    Text Solution

    |

  18. If x,y,z are nonzero real number , then the inverse of matrix A= {:[( ...

    Text Solution

    |

  19. Let A={:[( 1,sin theta , 1),( -sin theta , 1, sin theta ),( -1 ,-sin ...

    Text Solution

    |