Home
Class 12
MATHS
The equation whose roots are 'K' times t...

The equation whose roots are 'K' times the roots of the equation `ax^(2)+bx+c=0` is

A

`ax^(2)+Kbx+Kc=0`

B

`ax^(2)+K^(2)by+K^(2)c=0`

C

`ax^(2)+Kbx+K^(2)c=0`

D

`ax^(2)+K^(2)bx+Kc=0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise EXERCISE-II|121 Videos

  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|88 Videos

  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|10 Videos

  • PROBABILITY

    AAKASH SERIES|Exercise Practise Exercise|165 Videos

  • RANDOM VARIABLE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|34 Videos

Similar Questions

Explore conceptually related problems

The equation whose roots are the cubes of the roots of the equation ax ^2+bx +c=0 is

Find the equation whose roots are 3 times the roots of the equation x^(2)-5x+6=0

Assertion (A) : If 1,2,3 are the roots of ax^3 + bx ^2 +cx +d=0 then the roots of ax^3 +2bx^2 + 4 cx + 8d =0 are =0 are 2,4,6 Reason (R ) : the equation whose roots are k times the roots of the equation f(x) =0 is f((x )/(k ))=0

Assertion (A ) : If 1,2,3 are the roots of ax^3 +bx^2 + cx + +d =0 then roots of ax^3 + 2 bx^2 + 4 cx +8d =0 are 2,4,6 Reason (R ) : The equation whose roots are k times the roots of the equation f(x) =0 Is f(x//k) =0 then the true statment among the following is :

The equation whose roots are the n th powers of the roots of the equation x^(2)-2xcostheta+1=0 is

Find the equation whose roots are 3 times the roots of x^3 +2x^2 -4x +1=0

AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-EXERCISE-I
  1. If alpha, beta are the roots of x^(2)+2x-1=0, then the equation whose ...

    Text Solution

    |

  2. If alpha, beta are the roots of x^(2)+6x+9=0, then the equation whose ...

    Text Solution

    |

  3. The equation whose roots are 'K' times the roots of the equation ax^(2...

    Text Solution

    |

  4. If alpha, beta be the roots of the equation ax^(2)+bx+c=0, then the ro...

    Text Solution

    |

  5. If alpha, beta are the roots of x^(2)+2x+5=0, then the equation whose ...

    Text Solution

    |

  6. If r is the ratio of the roots of ax ^2 + bx +C=0 then ((r +1)^2)...

    Text Solution

    |

  7. If one root of x^(2)+kx+27=0 may be triple the other, then k=

    Text Solution

    |

  8. If one root of x^2+px+1=0 is square that of the other thenp=

    Text Solution

    |

  9. If one root of x^(2)+px+q=0 may be the square pf the other, then p^(3)...

    Text Solution

    |

  10. The quadratic equation with rational coefficients whose one root is 3+...

    Text Solution

    |

  11. If 3+4i is a root of equation x^(2)+px+q=0 where p, q in R then

    Text Solution

    |

  12. The quadratic equation whose one root is (-3+I sqrt7)/(4) is

    Text Solution

    |

  13. If the roots of x^(2)-2(7+3m)x+55m+45=0, are equal, then m =

    Text Solution

    |

  14. The roots of the equation x^(2)-2sqrt3 x+3=0 are

    Text Solution

    |

  15. IF the roots of the equation x^2+a^2 =8x + 6a are real , then...

    Text Solution

    |

  16. If the roots of (x^(2)-bx)/(ax-c)=(k-1)/(k+1) are numerically equal bu...

    Text Solution

    |

  17. The least integral value of 'a' for which the equation x^(2)-2(a-1)x+(...

    Text Solution

    |

  18. The value of 'a' for which the equation 3x^(2)+2(a^(2)+1)x+(a^(2)-3a+2...

    Text Solution

    |

  19. If the roots ax^(2)+bx+c=0 are both negative and b lt 0, then

    Text Solution

    |

  20. The coefficient of x in a quadratic equation x^2 + px +q=0 was ...

    Text Solution

    |