Home
Class 11
MATHS
Let alpha1,beta1 be the roots x^2-6x+p=0...

Let `alpha_1,beta_1` be the roots `x^2-6x+p=0a n d` `alpha_2,beta_2` be the roots `x^2-54 x+q=0dot` If `alpha_1,beta_1,alpha_2,beta_2` form an increasing G.P., then sum of the digits of the value of `(q-p)` is ___________.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE ENGLISH|Exercise All Questions|365 Videos

  • CONIC SECTIONS

    CENGAGE ENGLISH|Exercise All Questions|1344 Videos

Similar Questions

Explore conceptually related problems

Let alpha, beta " the roots of " x^(2) -4x + A =0 and gamma, delta " be the roots of " x^(2) -36x +B =0. " If " alpha, beta , gamma, delta forms an increasing G.P. Then

If alpha , beta are the roots of x^2 +x+1=0 then alpha beta + beta alpha =

If alpha, beta are the roots of x^(2)+x+1=0 , then alpha^(-2)+beta^(-2) is

If alpha , beta are the roots of x^2-p(x+1)+c=0 then (1+alpha )( 1+ beta )=

Let alpha, beta are the roots of the equation x^(2)+x+1=0 , then alpha^3-beta^3

If w , w^(2) are the roots of x^(2)+x+1=0 and alpha, beta are the roots of x^(2)+px+q=0 then (w alpha+w^(2)beta)(w^(2)alpha+w beta) =

If alpha, beta and 1 are the roots of x^3-2x^2-5x+6=0 , then find alpha and beta

Let alpha and beta be the roots of x^2-6x-2=0 with alpha>beta if a_n=alpha^n-beta^n for n>=1 then the value of (a_10 - 2a_8)/(2a_9)

If alpha, beta are the roots of x^(2)+3x+1=0 , then the equation whose roots 2-alpha, 2-beta is

If alpha, beta are the roots of x^(2) + 7x + 3 = 0 then (alpha – 1)^(2) + (beta – 1)^(2) =

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Polynomial P(x) contains only terms of aodd degree. when P(x) is divid...

    Text Solution

    |

  2. If the equation 2x^2+4x y+7y^2-12 x-2y+t=0, where t is a parameter has...

    Text Solution

    |

  3. Let alpha1,beta1 be the roots x^2-6x+p=0a n d alpha2,beta2 be the root...

    Text Solution

    |

  4. If sqrt(sqrt(sqrt(x)))=(3x^4+4)^(1/64), then the value of x^4 is.

    Text Solution

    |

  5. Let P(x)=x^4+a x^3+b x^2+c x+d be a polynomial such that P(1)=1,P(2)=8...

    Text Solution

    |

  6. If the equation x ^2+2(lambda+1)x+lambda^2+lambda+7=0 has only negati...

    Text Solution

    |

  7. Given alphaa n dbeta are the roots of the quadratic equation x^2-4x+k...

    Text Solution

    |

  8. If (x^2+a x+3)/(x^2+x+a) takes all real values for possible real value...

    Text Solution

    |

  9. If cos^4theta+alpha and sin^4theta+alpha are the roots of the equation...

    Text Solution

    |

  10. If the roots of the equation x^2+a x+b=0 are c and d , then roots of ...

    Text Solution

    |

  11. If a ,b ,c in R a n d a b c<0 , then equation b c x^2+(2b+c-a)x+a...

    Text Solution

    |

  12. For the quadratic equation x^2+2(a+1)x+9a-5=0, which of the following ...

    Text Solution

    |

  13. Let P(x)=x^2+b x+cw h e r eba n dc are integer. If P(x) is a factor ...

    Text Solution

    |

  14. If |a x^2+b x+c|lt=1 for all x in [0, 1], then a.|a|lt=8 b. |b|>8 ...

    Text Solution

    |

  15. Let f(x)=a x^2+b x+cdot Consider the following diagram. Then Fig c<0...

    Text Solution

    |

  16. If roots of a x^2+b x+c=0 are alphaa n dbetaa n d4a+2b+c &gt;0,4a ,-2...

    Text Solution

    |

  17. The equation (x/(x+1))^2+(x/(x-1))^2=a(a-1) has a. Four real roots ...

    Text Solution

    |

  18. Find the complete set of values of a such that (x^2-x)//(1-a x) attain...

    Text Solution

    |

  19. If alpha,beta are roots of x^2+p x+1=0a n dgamma,delta are the roots o...

    Text Solution

    |

  20. If he roots of the equation12 x^2-m x+5=0 are in the ratio 2:3 then fi...

    Text Solution

    |