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

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

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If the roots of the equation x^(2)+2cx+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

If the roots of the equation,x^(2)+2cx+ab=0 are real and unequal,then the roots of the equation,x^(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 ax^2 +x+b=0 be real, and unequal then the roots of the equation x^2-4sqrt(ab)x + 1 = 0 will be

If the roots of the equation x^(2)+2cx+ab=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 a and b are real and aneb then show that the roots of the equation (a-b)x^(2)+5(a+b)x-2(a-b)=0 are real and unequal.

The roots of the equation a^(2)x^(2)+(a+b)x-b^(2)=0(a,b!=0) are :(A) real and different (B) real and equal (C) imaginary (D) None

If roots of equation x^(2)-2cx+ab=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 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 roots of the equation ax^(2)+2(a+b)x+(a+2b+c)=0 are imaginary then roots of the equation ax^(2)+2bx+c=0 are

RESONANCE DPP-JEE MAINS-All Questions
  1. A circle is drawn to pass through the extremities of the latus rectum ...

    Text Solution

    |

  2. letp(x)=4x^2+6x+4 and q(y)=4y^2-12Y+25. Find the unique pairs of real ...

    Text Solution

    |

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

    Text Solution

    |

  4. AB is focal chord of a parabola. Let D and C be foot of perpendicul...

    Text Solution

    |

  5. If the quadratic equations, a x^2+2c x+b=0a n da x^2+2b x+c=0(b!=c) ha...

    Text Solution

    |

  6. If a=7,\ b=5,\ c=3, then the value of a^2+b^2+c^2-a b-b c-c a\ i s -1...

    Text Solution

    |

  7. Find the value of a if x^3-3x+a=0 has three distinct real roots.

    Text Solution

    |

  8. The complex number associated with the vertices A, B, C of DeltaABC...

    Text Solution

    |

  9. Let lambda in R . If the origin and the non-real roots of 2z^2+2z+lam...

    Text Solution

    |

  10. Solution of the differential equation (y+xsqrt(x y)(x+y))dx+(ysqrt(x y...

    Text Solution

    |

  11. STATEMENT-1 : The graph of y=[sqrt(1-cos2x]) consists of only two line...

    Text Solution

    |

  12. The number of values of x in the interval 0,5pi satisfying the equatio...

    Text Solution

    |

  13. The number solution of the equation sgn(x^2)=|x-2| is 1 (b) 0 (c) 2...

    Text Solution

    |

  14. The equation 2log(x+3)=log(alphax) has only one solution if

    Text Solution

    |

  15. If x^2+2a x+a<0AAx in [1,2], the find the values of adot

    Text Solution

    |

  16. The solution of the differential equation 2x^2y(dy)/(dx)=tan(x^2y^2)-...

    Text Solution

    |

  17. If (x^2-7|x|+10)/(x^2-6x+9)<0 then x can belongs to a(-5,-2) b.(2,3...

    Text Solution

    |

  18. If alpha=cos ((2pi)/5)+isin((2pi)/5) , then find the value of alpha+al...

    Text Solution

    |

  19. The graphs of y=s in x ,y=cos x , y=t a n x& y=cos e c x drawn on the ...

    Text Solution

    |

  20. If m and n are the smallest positive integers satisfying the relation ...

    Text Solution

    |