Home
Class 12
MATHS
If the roots of the equation , x^2+2c x+...

If the roots of the equation , `x^2+2c x+ab=0` are real and unequal, then the roots of the equation, `x^2-2(a+b)x+(a^2+b^2+2c^2)=0` are: a. real and unequal b. real and equal c. imaginary d. Rational

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    RESONANCE DPP ENGLISH|Exercise All Questions|4 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    RESONANCE DPP ENGLISH|Exercise All Questions|53 Videos

Similar Questions

Explore conceptually related problems

If the roots of the equation x^2+2c x+a b=0 are real and unequal, then the roots of the equation x^2-2(a+b)x+(a^2+b^2+2c^2)=0 are: (a) real and unequal (b) real and equal (c) imaginary (d) rational

If the roots of the equation x^2+2c x+a b=0 are real unequal, prove that the equation x^2-2(a+b)x+a^2+b^2+2c^2=0 has no real roots.

If the roots of the equation qx^(2)+2px+2q=0 are real and unequal, prove that the roots of the equation (p+q)x^(2)+2qx+(p-q)=0 are imaginary.

If roots of equation x^2-2c x+a b=0 are real and unequal, then prove that the roots of x^2-2(a+b)x+a^2+b^2+2c^2=0 will be imaginary.

If roots of equation x^3-2c x+a b=0 are real and unequal, then prove that the roots of x^2-2(a+b)x+a^2+b^2+2c^2=0 will be imaginary.

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

If a,b, cinR , show that roots of the equation (a-b)x^(2)+(b+c-a)x-c=0 are real and unequal,

If a, b, c are real and a!=b , then the roots ofthe equation, 2(a-b)x^2-11(a + b + c) x-3(a-b) = 0 are :

If the roots of the equation (b-c)x^2+(c-a)x+(a-b)=0 are equal, then prove that 2b=a+c .

If the roots of the equation (b-c)x^2+(c-a)x+(a-b)=0 are equal, then prove that 2b=a+c

RESONANCE DPP ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. The number of solutions of the equation cos6x+tan^2x+cos6xtan^2x=1 in ...

    Text Solution

    |

  2. From a point P(1, 2), pair of tangents are drawn to hyperbola, one tan...

    Text Solution

    |

  3. If the roots of the equation , x^2+2c x+ab=0 are real and unequal, the...

    Text Solution

    |

  4. If sum of the roots of the quadratic equation, a x^2+b x+c=0i s12 , th...

    Text Solution

    |

  5. The smallest of values of x^2-3x+3 in the interval [-3,3/2] is a. -20 ...

    Text Solution

    |

  6. If alphaa n dbeta are roots of the quadratic equation a x^2+b x+c=0 an...

    Text Solution

    |

  7. Given that a x^2+b x+c=0 has no real roots and a+b+c<0, then c!=0 b. c...

    Text Solution

    |

  8. If alpha and beta(alpha lt beta) are the roots of the equation x^(2)+b...

    Text Solution

    |

  9. Number of real solutions of the equation x^2+(x/(x-1))^2=8 are a. 3 ...

    Text Solution

    |

  10. Draw the graph of y=2x^3-15 x^2+36 x+12 y=-x^4+2x^2-3

    Text Solution

    |

  11. Solve: |(x^2-8x+12)/(x^2-10 x+21)|=(-(x^2-8x+12))/(x^2-10 x+21)

    Text Solution

    |

  12. The number N=(1+2log(3)2)/((1+log(3)2)^(2))+(log(6)2)^(2) when simplif...

    Text Solution

    |

  13. The complete solution set of the inequation, -2<[x+2]lt=5w h e r e[dot...

    Text Solution

    |

  14. The sum of [1/2]+[1/2+1/(2000)]+[1/2+2/(2000)]+[1/2+3/(2000)]++[1/2+(1...

    Text Solution

    |

  15. Number of roots of equation 3^(|x|)-|2-|x||=1 is a. 0 b. 2 c. 4 d. 7

    Text Solution

    |

  16. Number of solution satisfying, sqrt(5-(log)2x)=3-(log)2x are: (a)1 (b...

    Text Solution

    |

  17. If x=(log)k b=(log)b c=1/2(log)c d , then (log)k d is equal to (a)6x ...

    Text Solution

    |

  18. The number of solution of the equation, log (-2x)=2"log"(x+1) is a. ze...

    Text Solution

    |

  19. Number of integral solutions of the equation (log)(x-3)((log)(2"x"^2-2...

    Text Solution

    |

  20. Find the equation of whose roots is greater by unity than the roots...

    Text Solution

    |