Home
Class 12
MATHS
If one real root of the quadratic equati...

If one real root of the quadratic equation `81x^(2)+kx+256=0` is cube of the other root, then a value of k is

A

-81

B

100

C

-300

D

144

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The real roots of the quadratic equation x^(2)-x-1=0 are ___.

Product of the roots of the quadratic equation x^(2)+3x=0 is

One of the roots of quadratic equation 2x^(2)+kx-2=0 is -2, find k.

If one root of the quadratic equation 3y^(2)-ky+8=0 is 2/3 , find the value of k.

If x=9 is one root of the quadratic equation x^(2)-11x+k=0 , then find the value of k.

If one root of the equation 2x^(2) - ax + 64 = 0 is twice that of the other then find the value of a.

If one root of the equation 3x^(2)+kx-81=0 is the square of the other then find k.

If the both the roots of the quadratic equation x^(2)-2kx+k^(2)+k-5=0 are less than 5, then k

If one root of the equation 2x^(2)-ax+64=0 is twice that of the other find the value of a.

The number of real roots of the equation |x|^(2)-3|x|+2=0 is

CENGAGE-JEE 2019-MCQ
  1. Consider the quadratic equation, (c-5) x^(2)-2cx+(c-4) =0, c ne 5. Let...

    Text Solution

    |

  2. The value of lamda such that sum of the squares of the roots of the qu...

    Text Solution

    |

  3. If one real root of the quadratic equation 81x^(2)+kx+256=0 is cube of...

    Text Solution

    |

  4. Let alpha and beta be the roots of the quadratic equation x^(2) sin th...

    Text Solution

    |

  5. If lamda be the ratio of the roots of the quadratic equation in x, 3m^...

    Text Solution

    |

  6. The number of integral values of m for which the quadratic expression ...

    Text Solution

    |

  7. Let A={theta in (-pi /2,pi):(3+2i sin theta )/(1-2 sin theta ) is pure...

    Text Solution

    |

  8. Let Z0 is the root of equation x^2+x+1=0 and Z=3+6i(Z0)^(81)-3i(Z0)^(9...

    Text Solution

    |

  9. Let z(1) and z(2) be any two non-zero complex numbers such that 3|z(1)...

    Text Solution

    |

  10. If z=(sqrt(3)/2+i/2)^5+(sqrt(3)/2-i/2)^5 , then prove that Im(z)=0

    Text Solution

    |

  11. Let (-2 -1/3 i)^3=(x+iy)/27 (i= sqrt(-1)) where x and y are real numbe...

    Text Solution

    |

  12. Let (z-alpha)/(z+alpha) is purely imaginary and |z|=2, alphaepsilonR t...

    Text Solution

    |

  13. Let Z(1) and Z(2) be two complex numbers satisfying |Z(1)|=9 and |Z(2)...

    Text Solution

    |

  14. Consider the statement : " P(n) : n^(2)-n+41 is prime." Then, which on...

    Text Solution

    |

  15. If a ,b ,c are three distinct real numbers in G.P. and a+b+c=x b , the...

    Text Solution

    |

  16. Let a(1), a(2),....a(3) be an AP, S = sum(i = 1)^(30) a(i) and T = su...

    Text Solution

    |

  17. The sum of series 1+6+(9(1^(2)+2^(2)+3^(2)))/(7) + (12(1^(2)+2^(2)+...

    Text Solution

    |

  18. Let a, b and c be the 7th, 11th and 13th terms, respectively, of a non...

    Text Solution

    |

  19. The sum of all two digit positive numbers which when divided by 7 yiel...

    Text Solution

    |

  20. If 5, 5r and 5r^(2) are the lengths of the sides of a triangle, then r...

    Text Solution

    |