Home
Class 11
MATHS
If the product of the of the equation x^...

If the product of the of the equation `x^(2) - 3kx + 2e^(2log_(e^(k)))` = 1` is `7, then the roots are real for `k^(2) =`

A

`+- 1`

B

2

C

`+- 3`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EXPRESSIONS AND EQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|50 Videos

  • QUADRATIC EXPRESSIONS AND EQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|22 Videos

  • PROBABILITY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|45 Videos

  • SEQUENCES AND SERIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|59 Videos

Similar Questions

Explore conceptually related problems

Fill in the blanks. If the product of the roots of the equation x^2-3k x+2e^(2logk)-1=0 is 7, then the roots are real for____________.

If the product of the roots of the equation x^(2) - 2sqrt(2) kx + 2e^(2 log k) -1 = 0 is 31, then the roots of the equation are real for k equal to

If the product of two of the roots of x^3 +kx ^2 -3x+4=0 is -1 then k=

If the equation x^2-3kx+2e^(2logk)-1=0 has real roots such that the product of roots is 7 then the value of k is

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

If 2 is a root of the equation x^4+2x^3-3x^2+kx-4=0 , then k=

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

If the sum of the roots of the equation x^2-(k+6)x+2(2k-1)=0 is equal to half of their product, then k= (a) 6 (b) 7 (c) 1 (d) 5

OBJECTIVE RD SHARMA ENGLISH-QUADRATIC EXPRESSIONS AND EQUATIONS -Exercise
  1. If x=2+2^(2//3)+2^(1//3) , then the value of x^3-6x^2+6x is

    Text Solution

    |

  2. Find the number of quadratic equations, which are unchanged by squarin...

    Text Solution

    |

  3. If the product of the of the equation x^(2) - 3kx + 2e^(2log(e^(k))) =...

    Text Solution

    |

  4. If one root of x^(2) + px+12 = 0 is 4, while the equation x ^(2)...

    Text Solution

    |

  5. if the difference of the roots of the equation x^(2)-px +q=0 is unity...

    Text Solution

    |

  6. If alpha, beta are roots of the equation ax^2 + bx + c = 0 then the...

    Text Solution

    |

  7. The number of roots of the equation, x-2/(x-1)=1-2/(x-1) is 0 (b) 1 ...

    Text Solution

    |

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

    Text Solution

    |

  9. If the equation a/(x-a)+b/(x-b)=1has two roots equal in magnitude and ...

    Text Solution

    |

  10. If one of the roots of the equation ax^2 + bx + c = 0 be reciprocal ...

    Text Solution

    |

  11. If sin alpha and cos alpha are roots of the equation px^2 + qx+r=0 th...

    Text Solution

    |

  12. If x-c is a factor of order m of the polynomial f(x) of degree n (1 < ...

    Text Solution

    |

  13. If x-c is a factor of order m of the polynomial f(x) of degree n (1 < ...

    Text Solution

    |

  14. If a and b are two distinct real roots of the polynomial f(x) such th...

    Text Solution

    |

  15. If ax^3+ bx - c is divisible by x^2+bx+c, then 'a' is a root of the ...

    Text Solution

    |

  16. If alpha,beta are the roots of x^2+p x+q=0a n dx^(2n)+p^n x^n+q^n=0a n...

    Text Solution

    |

  17. Root (s) of the equation 9x ^(2) -18|x|+5=0 belonging to the domain of...

    Text Solution

    |

  18. If x=1+i is a root of the equation =x^3-i x+1-i=0, then the other real...

    Text Solution

    |

  19. Let a, b, c be real numbers, a != 0. If alpha is a zero of a^2 x^2+bx...

    Text Solution

    |

  20. If alphaa n dbeta are the roots of x^2+p x+q=0a n dalpha^4,beta^4 are ...

    Text Solution

    |