Home
Class 12
MATHS
Given abclt0 and a+b+cgt0. If (|a|)/(a)+...

Given `abclt0` and `a+b+cgt0`. If `(|a|)/(a)+(|b|)/(b)+(|c|)/(c)=x`, then find the value of `x^(3)+16x-8`.

Text Solution

Verified by Experts

The correct Answer is:
9
Out of `a,b,c` any one is `-ve` and are `+ve`.
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    RESONANCE ENGLISH|Exercise Math|105 Videos

  • TEST PAPER

    RESONANCE ENGLISH|Exercise MATHEMATICS|48 Videos

  • TEST SERIES

    RESONANCE ENGLISH|Exercise MATHEMATICS|132 Videos

Similar Questions

Explore conceptually related problems

If a b c=0 , then find the value of {(x^a)^b}^c (a)1 (b) a (c)b (d) c

If a x^2+b x+c=0 and b x^2+c x+a=0 have a common root and a, b, and c are nonzero real numbers, then find the value of (a^3+b^3+c^3)//a b c

If x=1 and x=2 are solutions of equations x^3+a x^2+b x+c=0 and a+b=1, then find the value of bdot

In a parallelogram A B C D , if /_A=(3x-20)^0,\ /_B\ (y+15)^0,\ /_C=(x+40)^0, then find the values of x\ a n d\ y

If x, a, b, c are real and (x-a+b)^(2)+(x-b+c)^(2)=0 , then a, b, c are in

If a+b+c=3 and agt0,bgt0,cgt0 then the greatest value of a^(2)b^(3)c^(2) is

If x^2+3x+5=0a n da x^2+b x+c=0 have common root/roots and a ,b ,c in N , then find the minimum value of a+b+ c dot

If a+b+c=0 and a^2+b^2+c^2=16 , find the value of a b+b c+c a

If x-a is a factor of x^3-3x^2a+2a^2x+b , then the value of b is (a) 0 (b) 2 (c) 1 (d) 3

Let f(x)=a^2+b x+c where a ,b , c in R and a!=0. It is known that f(5)=-3f(2) and that 3 is a root of f(x)=0. Then find the other of f(x)=0.

RESONANCE ENGLISH-TEST PAPERS-MATHEMATICS
  1. The possible number of ordered triplets (m, n, p) where m,np in N is (...

    Text Solution

    |

  2. Let f (x) be a function defined by f(x)= int(1)^(x) t(t^(2)-3t +2) dt,...

    Text Solution

    |

  3. Given abclt0 and a+b+cgt0. If (|a|)/(a)+(|b|)/(b)+(|c|)/(c)=x, then fi...

    Text Solution

    |

  4. If (1+x+x^(2))^(3n+1)=a(0)+a(1)x+a(2)x^(2)+…a(6n+2)x^(6n+2), then find...

    Text Solution

    |

  5. Find number of values of complex numbers omega satisfying the system o...

    Text Solution

    |

  6. Let f(x) = max. {sinx , cosx , (1)/(2)} , then area of the region boun...

    Text Solution

    |

  7. if y=ae^(x)+be^(-3x)+c, then the value of ((d^(3)y)/(dx^(3))+2(d^(2)y)...

    Text Solution

    |

  8. If |[a^2+lambda^2,ab+clambda,ca-blambda],[ab-clambda,b^2+lambda^2,bc+a...

    Text Solution

    |

  9. In DeltaABC if (c+a)/(12)=(a+b)/(14)=(b+c)/(18), then find the value o...

    Text Solution

    |

  10. What is the value of 6t such that volume contained inside the planes s...

    Text Solution

    |

  11. The number of ways of seven digit number with distinct digits of the f...

    Text Solution

    |

  12. If the terms of G.P. sqrt(a-x),sqrt(x),sqrt(a+x).. are all in integers...

    Text Solution

    |

  13. P is a variable point on the ellipse x^2/(2a^2)+y^2/(2b^2)=1\ (a gt b)...

    Text Solution

    |

  14. The general solution of |sinx|=cosx is (When ninz) given by

    Text Solution

    |

  15. Distance of point P(-2,3,4) from the line (x+2)/3=(2y+3)/4=(3z+4)/5 me...

    Text Solution

    |

  16. The point P(1,1) is transiated parallel to 2x=yin the first quadrant t...

    Text Solution

    |

  17. A function f from integers to integers is defined as f(x)={n+3, n in ...

    Text Solution

    |

  18. If f(x)=x^(n),"n" epsilon N, then the value of f(1)-(f^(')(1))/(1!)+(f...

    Text Solution

    |

  19. The extremities of the diagonal of a rectangle are (-4, 4) and (6,-1)....

    Text Solution

    |

  20. In a city no two persons have identical set of teeth and there is n...

    Text Solution

    |