Home
Class 12
MATHS
if 0 < a < b> 0 nad c > 0 then both ...

if 0 < a < b> 0 nad c > 0 then both the roots of the equation `2ax ^2 + 3bx + 5c =0`

A

are real and negative

B

have negative real parts

C

have positive real parts

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
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 a quadratic equation ax^(2) + bx + c = 0 "is"

If the ratio of the roots of the equation ax^(2)+bx+c=0 is m: n then

IF the roots of the equation ax ^2 +bx + c=0 are real and distinct , then

The product of roots of quadratic equation ax^(2) + bx + c = 0 is

The roots of a quadratic equation ax^2- bx + c = 0, a ne 0 are

The ratio of the roots of the equation ax ^2 + bx +c=0 is same as the ratio of the roots of the equation px^2 + qx +r=0 . If D_1 and D_2 are the discrimination of ax ^2 + bx + c=0 and px^2 +qx +r =0 respectively , then D_1 :D_2 =

If 2a + 3b + 6c = 0, show that there exists at least one root of the equation ax^(2) + bx + c = 0 in the interval (0,1).

DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. IF (1+k) tan ^2 x-4 tan x -1 + k=0 has real roots tan x1 and ...

    Text Solution

    |

  2. IF 0 < a<b<c and the roots alpha , beta of the equation ax ...

    Text Solution

    |

  3. if 0 < a < b> 0 nad c > 0 then both the roots of the equation 2...

    Text Solution

    |

  4. IF p,q,in { 1,2,3.4} the number of equation of the form px^2 +q...

    Text Solution

    |

  5. If the equation x^2 -2mx+7m-12 =0 has equal roots then m=

    Text Solution

    |

  6. IF the roots of (3m +1) x^2 +2(m+1) x+m =0 are equal then m=

    Text Solution

    |

  7. IF the roots of x^2-2(5 + 2k ) x+ 3 (7+10k) are equal then ...

    Text Solution

    |

  8. If the quadratic expression x^2 -(a-1) x+ (a+ (1)/(4) ) will be...

    Text Solution

    |

  9. IF (x-a)(x-b) +(x-b) (x-c) +(x-a)(x-c) =0 has equal roots then ...

    Text Solution

    |

  10. If c^(2) ne ab and the roots of (c^(2)-ab)x^(2)-2(a^(2)-bc)x+(b^(2)-ac...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. If p(q-r) x^2 +q(r-p) x+r(p-q) =0 has equal roots then 2/q =

    Text Solution

    |

  14. IF the roots of (b-c) x^2+ (c-a) x+ (a-b) =0 are equal then ...

    Text Solution

    |

  15. IF the roots of a(b-c)x^2+b (c-a) x+c (a-b)=0 are equal then a, ...

    Text Solution

    |

  16. If the roots of (a^2+b^2 ) x^2 -2b(a+c)x+(b^2 +c^2 ) =0 are equal...

    Text Solution

    |

  17. IF the sum of the roots of ax^2+bx+c=0 is equal to the sum of the squa...

    Text Solution

    |

  18. IF alpha , beta are the roots of the equation ax^2 + bx +c=0 ...

    Text Solution

    |

  19. IF 3+ 4i is a root of the equation x^2 +px +q=0 then

    Text Solution

    |

  20. IF 3+i is a root of the equation x^2 + ax + b=0 then a=

    Text Solution

    |