Home
Class 12
MATHS
The roots of the equation 2(a ^2 +b^2...

The roots of the equation `2(a ^2 +b^2)x^2+2(a+b)x+1=0` are

A

real

B

real and equal

C

real and not equal

D

imaginary

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B (QUADRATIC EXPRESSIONS)|106 Videos

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -1)|4 Videos

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -4)|4 Videos

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) Set-4|10 Videos

  • RELATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise|49 Videos

Similar Questions

Explore conceptually related problems

The roots of the equation ( a-b) x^2 +(b-c) x+ (c-a) =0 are

The roots of the equation a ( b-c) x^2 -b(c-a) x+c(a-b)=0 are

The roots of the equation (b-c) x^2 +(c-a)x+(a-b)=0 are

The roots of the equation x^(2)+2ax+a^(2)+b^(2)=0 are

x_1 and x_3 are the roots of the equation Ax ^2 - 4x +1=0 and x_2 and x_4 =0 are the roots of the requation Bx^2 - 6x + 1=0 if x_1 , x_2 , x_3 ,x_4 form a H.P , then (A,B) =

Assertion (A): The roots of the equation a(b-c)x^(2)+b(c-a)x+c(a-b)=0 are 1, (c(a-b))/(a(b-c)) Reason (R): If a+b+c=0 then the roots of ax^(2)+bx+c=0 are 1, (c)/(a)

the roots of the equation x^4 -6x^3 + 18x^2- 30 x +25 =0 are of the form a +- I b and b +- ia then (a ,b)=

If 1,2,3 and 4 are the roots of the equation x^4 + ax^3 + bx^2 +cx +d=0 then a+ 2b +c=

If sec theta + tan theta=1 , then root of the equation (a-2b+c)x^(2) + (b-2c+a)x + (c-2a+b)=0 is:

DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. IF ad ne bc then the roots of (a^2 +b^2)x^2+2x(ac+bd) +(c^2 +d^2)...

    Text Solution

    |

  2. For p,q in R, the roots of (p^2+q^2)x^2+2(p+q)x+2=0 are

    Text Solution

    |

  3. The roots of the equation 2(a ^2 +b^2)x^2+2(a+b)x+1=0 are

    Text Solution

    |

  4. The roots of (x-b)(x-c) +(x-a)(x-c) +(x-a) (x-b)=0 are

    Text Solution

    |

  5. The roots of (x-a) (x-a -1) +(x-a-1) +(x-a-2) +(x-a) (x-a-2)=0 a in...

    Text Solution

    |

  6. IF l,m,n are rational the roots of (m +n) x^2 -(l+m+n)x+l =0 are

    Text Solution

    |

  7. If the roots of a^2x^2 + 2 bx + c^2 =0 are imaginary then the ro...

    Text Solution

    |

  8. IF the roots of (a^2 +b^2 ) x^2 +2 (bc + ad ) x +(c^2+d^2)=0 ar...

    Text Solution

    |

  9. IF m,n,K are rational and m=k +(n)/(k) then the roots of x^2 ...

    Text Solution

    |

  10. IF alpha , beta are the roots of x^2 +px +q=0 and alpha ^4 ...

    Text Solution

    |

  11. Let a,b,c be real numbers a ne 0 if alpha is a roots of a^2 ...

    Text Solution

    |

  12. If p(x)= ax^(2)+bx+c and Q(x) =-ax^(2)+dx+c where ac ne 0 then the e...

    Text Solution

    |

  13. Let f(x) = x^2 + ax + b , where a, b in RR . If f(x) =0 has ...

    Text Solution

    |

  14. a,b,c in R alpha is a root of a^2 x^2 +bx +c=0 beta is a ro...

    Text Solution

    |

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

    Text Solution

    |

  16. If the equation (cos p - 1)x^(2) + cos p x + sin p =0 in the varable x...

    Text Solution

    |

  17. If m , in Z and the equation mx^2 +(2m -1)x:(m-2)=0 has rational ...

    Text Solution

    |

  18. If a in Z and the equation (x-a)(x-10) +1=0 has integral root...

    Text Solution

    |

  19. IF in R and the equation -3(x-[x]) +a^2 =0 ( where [x] denotes ...

    Text Solution

    |

  20. If the roots of the equation x^2+kx +64 =0 and x^2 - 8x + k =0 k...

    Text Solution

    |