Home
Class 12
MATHS
If a gt 0 and discriminant of ax^(2) + 2...

If `a gt 0` and discriminant of `ax^(2) + 2bx + c` is negative, then
`Delta = |(a,b,ax +b),(b,c,bx +c),(ax +b,bx +c,0)|`, is

A

positive

B

negative

C

0

D

dependent on a.

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|18 Videos

  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS)|15 Videos

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|18 Videos

  • DIFFERENTIABILITY AND DIFFERENTIATION

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers |16 Videos

Similar Questions

Explore conceptually related problems

If a>0 and discriminant of ax^(2)+2bx+c is negative,then det[[a,b,ax+bb,c,bx+c]],+ve b.(ac-b)^(2)(ax^(2)+2bx+c) c.-ve d.0

The non-zero roots of the equation Delta =|(a,b,ax+b),(b,c,bx+c),(ax+b,bx+c,c)|=0 are

The non-zero roots of the equation Delta=|(a,b,ax+b),(b,c,bx+c),(ax+b,bx+c,c)|=0 are

If b^2 -aclt0 and alt 0, then thevalue of the determinant |(a,b,ax+by),(b,c,bx+cy),(ax + by,bx + cy,0)| is

If both the roots of ax^(2)+bx+c=0 are negative and b<0 then :

If c gt0 and 4a+clt2b then ax^(2)-bx+c=0 has a root in the interval

If a + b + c = 0 then the quadratic equation 3ax^(2) + 2bx + c = 0 has

The equation ax^2+ bx + c=0, if one root is negative of the other, then: (A) a =0 (B) b = 0 (C) c = 0 (D) a = c

Prove that: |(a,b, ax+by),(b,c,bx+cy), (ax+by, bx+cy,0)|=(b^2-a c)(a x^2+2b x y+c y^2) .

MCGROW HILL PUBLICATION-DETERMINANTS-QUESTIONS FROM PREVIOUS YEARS AIEEE/JEE MAIN PAPERS
  1. If a gt 0 and discriminant of ax^(2) + 2bx + c is negative, then Del...

    Text Solution

    |

  2. l, m,n are the p^(th), q ^(th) and r ^(th) term of a G.P. all positive...

    Text Solution

    |

  3. If 1,omega , omega^2 are the cube roots of unity , then Delta=|(1,ome...

    Text Solution

    |

  4. If the system of linear equations x+2ay +az =0,x+3by+bz =0 and x+4cy ...

    Text Solution

    |

  5. If a(1),a(2),a(3),……….a(n) ………… are in G.P and a(i) gt 0 then the va...

    Text Solution

    |

  6. If a^(2)+b^(2)+c^(2)=-2 and |{:(1+a^(2)x,(1+b^(2))x,(1+c^(2))x),((...

    Text Solution

    |

  7. The value of |alpha| for which the system of equation alphax+y+z=...

    Text Solution

    |

  8. If D = |(1,1,1),(1,1 +x,1),(1,1,1 +y)| " for " x!= 0, y != 0, then D i...

    Text Solution

    |

  9. Let a,b and c be such that (b+c) ne 0 . If |(a,a+1,a-1),(-b,b+1,b-1)...

    Text Solution

    |

  10. If a, b, c are positive and unequal, show that value of the determinan...

    Text Solution

    |

  11. Statement 1: The system of linear equations x|(sinalpha)y+(cos alpha...

    Text Solution

    |

  12. If alpha,beta!=0 , and f(n)""=alpha^n+beta^n and |3 1+f(1)1+f(2)1+f(1)...

    Text Solution

    |

  13. If a , b , c are non-zero real numbers and if the system of equations ...

    Text Solution

    |

  14. Let fori 1, 2, 3, pi(x) be a polynomial ofdegree 2 in x1 pi (x) and ...

    Text Solution

    |

  15. If |(a^(2),b^(2),c^(2)),((a+lamda)^(2),(b+lamda)^(2),(c+lamda)^(2)),...

    Text Solution

    |

  16. If Deltar=|(r,2r-1,3r+2),(n/2,n-1,a),(1/2n(n-1),(n-1)^2,1/2(n-1)(3n+4...

    Text Solution

    |

  17. The set of all values of lambda for which the system of linear equat...

    Text Solution

    |

  18. If |(x^2+x,x+1,x-2),(2x^2+3x-1,3x,3x-3),(x^2+2x+3,2x-1,2x-1)|=ax-12 t...

    Text Solution

    |

  19. The least value of the product xyz for which the determinant |(x,1,1)...

    Text Solution

    |

  20. The system of linear equations x + lambda y-z =0, lambdax-y -z =0, x...

    Text Solution

    |