Home
Class 14
MATHS
If p ,q ,r are positive and are in A.P.,...

If `p ,q ,r` are positive and are in A.P., the roots of quadratic equation `p x^2+q x+r=0` are all real for `|r/p-7|geq4sqrt(3)` b. `|p/r-7|geq4sqrt(3)` c. `a l lpa n dr` d. `nopa n dr`

A

`|(r)/(p)-7|ge4sqrt3`

B

`|(p)/(r)-7|ge4sqrt3`

C

all p and r

D

no p and r

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    ARIHANT SSC|Exercise EXERCISE(LEVEL 1)|57 Videos

  • SQUARE ROOT AND CUBE ROOT

    ARIHANT SSC|Exercise EXERCISE (C ) HIGHER SKILL LEVEL QUESTIONS|14 Videos

  • TIME AND WORK

    ARIHANT SSC|Exercise Final Round|15 Videos

Similar Questions

Explore conceptually related problems

If p,q,r are + ve and are in A.P., the roots of quadratic equation px^2 + qx + r = 0 are all real for

If p, q, r are positive and are in AP, the roots of quadratic equation px^(2) + qx + r = 0 are real for :

If p,q,r are positive and are in A.P.the roots of quadratic equation px^(2)+qx+r=0 are all real for a.|(r)/(p)-7|>=4sqrt(3)b|(p)/(r)-7|>=4sqrt(3)c* all p and rd. no p and r

f p,q, r are +ve and are in A. P., in the roots of quadratic equation px^2+qx+r =0 are real for A. | (r/p)-7| >= 4sqrt(3) B | (p/r) -7| >= 4sqrt(3) C. all p and r D. no p and r

If p, q, r are real and p ne q , then the roots of the equation (p-q)x^(2) +5(p+q) x-2(p-q) r are

If p,q,r in R and the quadratic equation px^(2)+qx+r=0 has no real root,then

ARIHANT SSC-THEORY OF EQUATIONS-EXERCISE(LEVEL 2)
  1. The set of real values of x satisfying the equation |x-1|^(log3(x^2)-...

    Text Solution

    |

  2. If the roots of 10x^3-cx^2-54x -27 0 are in harmonic progression, then...

    Text Solution

    |

  3. Find the number of pairs for (x, y) from the followoing equations : ...

    Text Solution

    |

  4. Find all real numbers x which satisty the equation. 2log2log2x+log(1/2...

    Text Solution

    |

  5. Solve |x^2+4x+3|+2x+5=0.

    Text Solution

    |

  6. The real numbers x1, x2, x3 satisfying the equation x^3-x^2+b x+gamma=...

    Text Solution

    |

  7. For all x in (0, 1)

    Text Solution

    |

  8. What is the average of the first six prime numbers ?

    Text Solution

    |

  9. Let a, b, c be real, if ax^(2)+bx+c=0 has two real roots alpha, beta, ...

    Text Solution

    |

  10. If p, q are the roots of equation x^2 + px + q = 0, then value of p mu...

    Text Solution

    |

  11. If p ,q ,r are positive and are in A.P., the roots of quadratic equati...

    Text Solution

    |

  12. The sum of all the real roots of the equation |x-2|^2+|x-2|-2=0 is

    Text Solution

    |

  13. Let pa n dq be the roots of the equation x^2-2x+A=0 and let ra n ds be...

    Text Solution

    |

  14. If the roots of the equation x^2-2a x+a^2-a-3=0 are ra and less than 3...

    Text Solution

    |

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

    Text Solution

    |

  16. If b gt a, then the equation (x-a)(x-b)-1=0, has

    Text Solution

    |

  17. Let alphaa n dbeta be the roots of x^2-x+p=0a n dgammaa n ddelta be th...

    Text Solution

    |

  18. If α,β are the roots of x^(2)-x+2=0 then α^3 β+αβ^3

    Text Solution

    |

  19. Given that alpha, gamma are roots of the equation Ax^(2)-4x+1=0 and be...

    Text Solution

    |

  20. Let alpha,beta be the roots of the equation (x-a)(x-b)=c ,c!=0 Th...

    Text Solution

    |