Home
Class 12
MATHS
If a, b,c , d are the roots of the equat...

If a, b,c , d are the roots of the equation :
`x^(4) + 2x^(3) + 3x^(2) + 4x + 5 = 0` ,
then `1 + a^(2) + b^(2) + c^(2) + d^(2)` is equal to :

A

`-2`

B

`-1`

C

1

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST PAPER -III

    MODERN PUBLICATION|Exercise SELECT THE CORRECT ANSWER|60 Videos
  • PARABOLA

    MODERN PUBLICATION|Exercise RECENT COMPETITION QUESTION (QUESTION FROM KARNATAKA CET & COMED)|9 Videos

Similar Questions

Explore conceptually related problems

The sum of the roots of the equation |x^(2)+4 x+3|+2 x+5=0 is

If the roots of the equation : (b-c)x^(2) + (c-a) x + ( a-b) = 0 are equal, then a,b,c are in :

If the roots of the equations (b-c) x^(2) + (c-a) x+( a-b) =0 are equal , then prove that 2b=a+c

If a, b, c are different, then value of x satisfying the equation |{:( 0 , x^(2) - a , x^(3) - b) , (x^(2) + a , 0 , x^(2) + c), (x^(4) + b , x- c , 0):}|=0 is

If a, b, c are real and a!=b , then the roots of the equation, 2(a-b)x^2-11(a + b + c) x-3(a-b) = 0 are :

If the roots of the quadratic equations x^(2) +4x +c=0 are equal then the value of c is:

If alpha and beta are the roots of the equation 2x^2-3x + 4=0 , then the equation whose roots are alpha^2 and beta^2, is

Verify whether 1 and (3)/(2) are the roots of the equation 2x^(2)-5x+3=0

The roots of the quadratic equation (a + b-2c)x^2+ (2a-b-c) x + (a-2b + c) = 0 are

MODERN PUBLICATION-MOCK TEST PAPER -IV-SELECT THE CORRECT ANSWER
  1. The number of bijective functions from the set A to itself if a contai...

    Text Solution

    |

  2. If 2x=-1+sqrt(3)i, then the value of (1-x^(2)+x)^(6)-(1-x+x^(2))^(6)=

    Text Solution

    |

  3. If a, b,c , d are the roots of the equation : x^(4) + 2x^(3) + 3x^(2...

    Text Solution

    |

  4. The expression : (1)/(sqrt((3x + 1))) ( { ( (1 + sqrt(3x + 1))/(2) ...

    Text Solution

    |

  5. The number of triangles in a complete graph with 10 non collinear vert...

    Text Solution

    |

  6. If x^(r ) occurs in the expansions of (x+(1)/(x))^(n) then its coeff...

    Text Solution

    |

  7. If in the expansion of (1+x)^(m)(1-x)^(n) the coefficients of x and x^...

    Text Solution

    |

  8. If the straight line ax +by+c=0 always passes through (1,-2) then a,b,...

    Text Solution

    |

  9. A straight line through P(1,2) is such that the intercept between the...

    Text Solution

    |

  10. If the line through A=(4,-5) is inclined at an anlge 45^(@) with the p...

    Text Solution

    |

  11. The mean and variance for the data 6,7,10,12,13,4,8,12 respectively ar...

    Text Solution

    |

  12. If tan(x+y)=33, and x= tan^(-1)3, then: y=

    Text Solution

    |

  13. Prove that: (sin x - sin 3x)/(sin^(2)x-cos^(2)x)=2sinx

    Text Solution

    |

  14. The number of solution of the eqution |cot x|=cot x+(1)/(sin x)(0 le x...

    Text Solution

    |

  15. The number of solution of the eqution |cot x|=cot x+(1)/(sin x)(0 le x...

    Text Solution

    |

  16. cot^(-1)(21) +cot^(-1)(13)+co^(-1)(8)=

    Text Solution

    |

  17. tan(cos^(-1)(1)/(5sqrt(2))-sin^(-1)(4)/sqrt(17)) is

    Text Solution

    |

  18. If a,b,c are A.P then the value of the determinant |(x+2,x+3,x+2a),...

    Text Solution

    |

  19. If A = [(alpha,2),(2,alpha)]and A^(3)=27 then alpha =

    Text Solution

    |

  20. If A ={:[(1,0),(1,1)]:} and A^(8) =aA+bI , then (a,b) =

    Text Solution

    |