Home
Class 12
MATHS
A polynomial P(x) of third degree vanish...

A polynomial P(x) of third degree vanish when `x=1` & `x=-2` . This polynomial have the values `4 & 28` when `x=-1` and `x=2` respectively. `P(i),w h e r ei=sqrt(-1)` is a. purely real b. Purely imaginary c. imaginary d. None of these

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

  • THREE DIMENSIONAL GEOMETRY

    RESONANCE DPP ENGLISH|Exercise All Questions|5 Videos

Similar Questions

Explore conceptually related problems

A polynomial P(x) of third degree vanish when x=1 & x=-2 . This polynomial have the values 4 & 28 when x=-1 and x=2 respectively. One of the factor of P(x) is a. x+1 b. x-2 c. 3x+1 d. None of these

A polynomial P(x) of third degree vanish when x=1 & x=-2 . This polynomial have the values 4 & 28 when x=-1 and x=2 respectively. If the polynomial P(x) is divided by (x+3), the remainder is a. -32 b. 100 c. 32 d. 0

Prove that z=i^i ,w h e r ei=sqrt(-1) , is purely real.

A polynomial in x of degree 3 vanishes when x=1 and x=-2 , ad has the values 4 and 28 when x=-1 and x=2 , respectively. Then find the value of polynomial when x=0 .

A polynomial in x of degree three vanishes when x = 1 and x =- 2 and has the values 4 and 28 when x =- 1 and x = 2 respectively, then f(1) is

If a=cos((4pi)/3)+isin((4pi)/3) then |(1,1,1),(1,a,a^2),(1,a^2,a)| (a) purely real (b) purely imaginary (c) 0 (d) none of these

Solve ( sin x + "i" cos x )/( 1 +i),i =sqrt(-1) when it is purely imaginary .

Find the real number x if (x−2i)(1+i) is purely imaginary.

If a in (-1,1), then roots of the quadratic equation (a-1)x^2+a x+sqrt(1-a^2)=0 are a. real b. imaginary c. both equal d. none of these

If |z_1|=|z_2| and arg((z_1)/(z_2))=pi , then z_1+z_2 is equal to (a) 0 (b) purely imaginary (c) purely real (d) none of these

RESONANCE DPP ENGLISH-RELATIONS AND FUNCTIONS XII-All Questions
  1. Find the number of positive integers x for which f(x) = x^(3) - 8 x^...

    Text Solution

    |

  2. The least integral value of ' m ' for which the expression m x^2-4x+3m...

    Text Solution

    |

  3. Values of x satisfying the inequality |x^2+8x+7|geq|x^2+4x+4|+|4x+3| f...

    Text Solution

    |

  4. Let N=(log(3)135)/(log(15)3)-(log(3)5)/(log(405)3). Then N is

    Text Solution

    |

  5. f(x)=x/(x-1) then (f(a))/(f(a+1)) is equal to a.f(-a) b.f(1//a) c...

    Text Solution

    |

  6. Suppose f is a real function satisfying f(x+f(x))=4f(x)a n df(1)=4. Th...

    Text Solution

    |

  7. If f(x)=2/(4^x+2) for real numbers x , then f(1/(2011))+f(2/(2011))++f...

    Text Solution

    |

  8. A polynomial P(x) of third degree vanish when x=1 & x=-2 . This ...

    Text Solution

    |

  9. Solve the following inequalities (x-1)/x-(x+1)/(x-1)<2

    Text Solution

    |

  10. Solve inequality (x^2-5x+6)/(x^2+x+1)<0

    Text Solution

    |

  11. solve the given inequation (x^2+4x+4)/(2x^2-x-1)>0

    Text Solution

    |

  12. ((x-4)^(2005)dot(x+8)^(2008)(x+1))/(x^(2006)(x-2)^3dot(x+3)^5 0(x-6)(x...

    Text Solution

    |

  13. Solve the following inequalities ((x-1)(x-2)(x-3))/((x+1)(x+2)(x+3))>...

    Text Solution

    |

  14. The sum of the series ""(1^2)/(2!)+(2^2)/(3!)+(3^2)/(4!)+"i s" e+1 ...

    Text Solution

    |

  15. The function f(x)=(4-x^2)/(4x-x^3) (a) discontinuous at only one poin...

    Text Solution

    |

  16. If A is the set of even natural numbers less than 8 and B in the set p...

    Text Solution

    |

  17. If range of the function f(x)=(2sin^2x+2sinx+3)/(sin^2x+sinx+1) is [p ...

    Text Solution

    |

  18. In function f(x)=cos^(-1)x+cos^(-1)(x/2+(sqrt(3-3x^2))/2) , then Range...

    Text Solution

    |

  19. An extremum value of the function f(x)=(a r csinx)^3+(a r ccosx)^3 is ...

    Text Solution

    |

  20. If x , y , z are all different real numbers, then 1/((x-y)^2)+1/((y-z)...

    Text Solution

    |