Home
Class 12
MATHS
If a^2+b^2+c^2=-2a n df(x)= |a+a^2x(1+b...

If `a^2+b^2+c^2=-2a n df(x)=` `|a+a^2x(1+b^2)x(1+c^2)x(1+a^2)x1+b^2x(1+c^2)x(1+a^2)x(1+b^2)x1+c^2x|` , then `f(x)` is a polynomial of degree `0` b. `1` c. `2` d. `3`

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

The expression (x+((x^3-1)^(1/2))/2)^5+""(x-((x^3-1)^(1/2))/2)^5 is a polynomial of degree a. 5 b. 6 c. 7 d. 8

If f(x)= |1x x+1 2x x(x-1)(x+1) x3 x(x-1) x(x-1)(x-2) (x+1)x(x-1)| then f(500) is equal to 0 b. 1 c. 500 d. -500

If f(x)=cos^2x+s e c^2x ,t h e n f(x)<1 (b) f(x)=1 (c) 2ltf(x)<1 (d) """"f(x)ge2

If f(x)=lim_(n->oo)((x^2+a x+1)+x^(2n)(2x^2+x+b))/(1+x^(2n))and lim_(x->+-1)f(x) exist, then The value of b is (a) -1 (b). 1 ( c.) 0 (d). 2

The equation (x^2+x+1)^2+1=(x^2+x+1)(x^2-x-5) for x in (-2,3) will have number of solutions. a. 1 b. 2 c. 3 d. 0

If f(x)=|[a,-1, 0],[a x, a,-1],[a x^2,a x, a]|,t h e nf(2x)-f(x) is divisible by (a) a (b) b (c) c ,d ,e (d) none of these

If x_1=2tan^(-1)((1+x)/(1-x)),x_2=sin^(-1)((1-x^2)/(1+x^2)) , where x in (0,1), then x_1+x_2 is equal to 0 (b) 2pi (c) pi (d) none of these

If af(x+1)+bf(1/(x+1))=x ,x!=-1,a!=b ,t h e nf(2) is equal to (a) (2a+b)/(2(a^2-b^2)) (b) a/(a^2-b^2) (c) (a+2b)/(a^2-b^2) (d) none of these

If sin^2theta=(x^2+y^2+1)/(2x) , then x must be -3 (b) -2 (c) 1 (d) none of these

If (log)_(10)[1/(2^x+x-1)]=x[(log)_(10)5-1] , then x= 4 (b) 3 (c) 2 (d) 1

CENGAGE-DETERMINANTS-All Questions
  1. The value of determinant |1 1 1^m C1^(m+1)C1^(m+2)C1^m C2^(m+1)C2^(m+2...

    Text Solution

    |

  2. Solve the equation |a-x c b c b-x a b a c-x|=0w h e r ea+b+c!=0.

    Text Solution

    |

  3. If a^2+b^2+c^2=-2a n df(x)= |a+a^2x(1+b^2)x(1+c^2)x(1+a^2)x1+b^2x(1+c...

    Text Solution

    |

  4. Consider the set A of all determinants of order 3 with entries 0 or 1 ...

    Text Solution

    |

  5. Solve: |x^2-1x^2+2x+1 2x^2+3x+1 2x^2+x-1 2x^2+5x-3 2x^2+4x-3 6x^2-x-2 ...

    Text Solution

    |

  6. If |x3 6 3 6x6x3|=|2x7x7 2 7 2x|=|4 5x5x4x4 5|=0, then x is equal to 0...

    Text Solution

    |

  7. If A1B1C1 , A2B2C2 and A3B3C3 are three digit numbers, each of which ...

    Text Solution

    |

  8. If f^(prime)(x)=|m x m x-p m x+p nn+p n-p m x+2n m x+2n+p m x+2n-p| , ...

    Text Solution

    |

  9. If sum(n=1)^nalphan=a n^2+b n ,w h e r ea ,b are constants and alp...

    Text Solution

    |

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

    Text Solution

    |

  11. Using properties of determinant prove that |a+b+c-c-b-c a+b+c-a-b-a a...

    Text Solution

    |

  12. Show that |^x Cr^x C(r+1)^x C(r+2)^y Cr^y C(r+1)^y C(r+2)^z Cr^z C(r+1...

    Text Solution

    |

  13. If omega!=1 is a cube root of unity and x+y+z!=0, then prove tha...

    Text Solution

    |

  14. Statement 1: If the system of equation lambdax+(b-a)y+(c-a)z=0,(a-b)x+...

    Text Solution

    |

  15. If A , Ba n dC are the angels of a triangle, show that |-1+cos B co...

    Text Solution

    |

  16. If alpha,beta,gamma are the angles of a triangle and system of equatio...

    Text Solution

    |

  17. Without expanding the determinants, prove that |103 115 114 111 108 10...

    Text Solution

    |

  18. Given a=x//(y-z), b=y//(z-x),a n dc=z//(x-y),w h e r ex , y , za n dz ...

    Text Solution

    |

  19. Find the value of determinant |(sqrt((13))+sqrt(3),2sqrt(5),sqrt(5))sq...

    Text Solution

    |

  20. a ,b ,c are distinct real numbers not equal to one. If a x+y+z=0,x+b y...

    Text Solution

    |