Home
Class 11
MATHS
If one root of the equation (k-1)x^(2)...

If one root of the equation `(k-1)x^(2) - 10x+ 3 = 0` is the reciprocal of the other, then the value of is___________ .

A

4, -24

B

4, 24

C

`-4, -24`

D

`-4, 24`

Text Solution

Verified by Experts

The correct Answer is:
D
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

If one root of the equation (k-1)x^(2) - 10x+ 3 = 0 is the reciprocal of the other, then the value of k is___________ .

If one root of the equation ax^(2) + bx + c = 0 is the reciprocal of the other root, then

If one root of the equation 3x^(2)-5x+lambda=0 is the reciprocal of the other, then the value of lambda is

If one root of the equation 6x^2 − 2 x + ( λ − 5 ) = 0 be the reciprocal of the other, then λ =

If one root of the quadratic equation 3x^(2)-10x+k=0 is reciprocal of the other, find the value of k.

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 one root of the equation 8x^(2) - 6x-a-3=0 is the square of the other values of a are :

If one root of the polynomial f(x)=5x^2+13 x+k is reciprocal of the other, then the value of k is (a) 0 (b) 5 (c) 1/6 (d) 6

If one root of the equation x^2+px+q=0 is the square of the other then

If one root of x^(2)-x-k=0 is square of the other, then find the value of k.

OBJECTIVE RD SHARMA ENGLISH-QUADRATIC EXPRESSIONS AND EQUATIONS -Exercise
  1. Find the values of a for which the roots of the equation x^2+a^2=8x+6a...

    Text Solution

    |

  2. If the sum of the roots of the equation (a+1)x^2=(2a+3)x+(3a+4)=0 is -...

    Text Solution

    |

  3. If one root of the equation (k-1)x^(2) - 10x+ 3 = 0 is the reciproca...

    Text Solution

    |

  4. If b1. b2=2(c1+c2) then at least one of the equation x^2+b1x+c1=0 and ...

    Text Solution

    |

  5. Solve |x^2+4x+3|+2x+5=0.

    Text Solution

    |

  6. For a alt=0, determine all real roots of the equation x^2-2a|x-a|-3...

    Text Solution

    |

  7. If 2+sqrt(3)i is a root of the equation x^2+p x+1=0 , then write the v...

    Text Solution

    |

  8. If tan alpha tan beta are the roots of the equation x^2 + px +q =0(p!...

    Text Solution

    |

  9. Root of the quadratic equation x^2+6x-2=0

    Text Solution

    |

  10. If sum of the roots of ax^(2)+bx+c=0 is equal to the sum of the square...

    Text Solution

    |

  11. For real x , the function (x-a)(x-b)//(x-c) will assume all real value...

    Text Solution

    |

  12. If a(p+q)^2+2b p q+c=0 and a(p+r)^2+2b p r+c=0 (a!=0) , then which one...

    Text Solution

    |

  13. If the roots of the equation a x^2+2b x+c=0 and b x^2-2sqrt(a c) x+b=0...

    Text Solution

    |

  14. If a, b, c are real and x^3-3b^2x+2c^3 is divisible by x -a and x - b,...

    Text Solution

    |

  15. if p and q are non zero constants, the equation x^2+px+q=0 has roots ...

    Text Solution

    |

  16. The equation x^((3)/4 (log2x)^2+log2 x -(5)/(4))=sqrt(2) has :

    Text Solution

    |

  17. cosα is a root of the equation 25x^2+5x−12=0,−1 lt x lt 0, then the va...

    Text Solution

    |

  18. If a+b+c=0 then check the nature of roots of the equation 4a x^2+3b x+...

    Text Solution

    |

  19. If b gt a, then the equation (x-a)(x-b)-1=0 has (a) Both roots in (a...

    Text Solution

    |

  20. If a,b,c epsilonQ then roots of the equation (b+c-2a)x^(2)+(c+a-2b)x+(...

    Text Solution

    |