Home
Class 11
MATHS
If the equation (a-5)x^2+2(a-10)x+a+10=0...

If the equation `(a-5)x^2+2(a-10)x+a+10=0` has roots of opposite sign, then find the value of `adot`

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise All Questions|363 Videos

  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|1167 Videos

Similar Questions

Explore conceptually related problems

If the equation 2^(2x)+a*2^(x+1)+a+1=0 has roots of opposite sign, then the exhaustive set of real values of a is (a)(−∞,0) (b)(−1,−2/3) (c)(−∞,−2/3) (d)(−1,∞)

If (p^2+2)x^2+2p^2x+(P^2-4) =0 has root of opposite sign,then find the range of 'p'.

If one root of the equation x^2+(5a+2)x+5a+2=0 is five times the other root , then find the numerical value of a .

If the difference between the roots of the equation x^2+a x+1=0 is less then sqrt(5) , then find the set of possible value of adot

The quadratic equation 2x^2-(a^3+8a-1)x+a^2-4a=0 possesses roots of opposite sign. Then

If the roots of the equation x^2-8x+a^2-6a=0 are real distinct, then find all possible value of adot

If the lines x+(a-1)y+1=0 and 2x+a^2y-1=0 are perpendicular, then find the value of adot

If roots of the equation 2x^2-4x+2sintheta-1=0 are of opposite sign, then theta belongs to (pi/6,(5pi)/6) (b) (0,pi/6)uu((5pi)/6,pi) ((13pi)/6,(17pi)/6) (d) (0,pi)

If the roots of the equation x^2+7x+m=0 are two consecutive whole number, then find the value of m.

If the equation x^(2)+y^(2)-10x+21=0 has real roots x=alphaandy=beta then

CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If a ,b ,c in R such that a+b+c=0a n da!=c , then prove that the root...

    Text Solution

    |

  2. Evaluate: i^(135) (-sqrt(-1))^(4n+3),n in N sqrt(-25)+3sqrt(-4)+...

    Text Solution

    |

  3. If the equation (a-5)x^2+2(a-10)x+a+10=0 has roots of opposite sign, t...

    Text Solution

    |

  4. If alphaa n dbeta are the roots of ax^2+bx+c=0a n dSn=alpha^n+beta^n,...

    Text Solution

    |

  5. If alpha is a root of the equation 4x^2+2x-1=0, then prove that 4alp...

    Text Solution

    |

  6. If both the roots of x^2-a x+a=0 are greater than 2, then find the val...

    Text Solution

    |

  7. If (y^2-5y+3)(x ^2+x+1)<2x for all x in R , then find the interval in...

    Text Solution

    |

  8. Find the values of 'a' which 4^t-(a-4)2^t+9/4alt0,foralltin(1,2)

    Text Solution

    |

  9. Find the number of positive integral values of k for which kx ^(2) +(k...

    Text Solution

    |

  10. If x^2+2ax+a lt 0 AA x in [1, 2] then find set of all possible values ...

    Text Solution

    |

  11. Given that a ,b ,c are distinct real numbers such that expressions a x...

    Text Solution

    |

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

    Text Solution

    |

  13. Solve the following: (sqrt(x^2-5x+6)+sqrt(x^2-5x+4))^(x/2)+(sqrt(x^2-...

    Text Solution

    |

  14. Show that the equation A^2/(x-a)+B^2/(x-b)+C^2/(x-c)+.....+H^2/(x-h)=...

    Text Solution

    |

  15. Find the values of a if x^2-2(a-1)x+(2a+1)=0 has positive roots.

    Text Solution

    |

  16. If alphaa n dbeta,alphaa n dgamma,alphaa n ddelta are the roots of th...

    Text Solution

    |

  17. If alphabeta the roots of the equation x^2-x-1=0 , then the quadratic...

    Text Solution

    |

  18. 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

    |

  19. If alpha1,alpha2 are the roots of equation x ^2-p x+1=0a n dbeta1,bet...

    Text Solution

    |

  20. Suppose A, B, C are defined as A=a^2b+a b^2-a^2c-a c^2 , B=b^2c+b c^2-...

    Text Solution

    |