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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 a.`|r/p-7|geq4sqrt(3)` b. `|p/r-7|geq4sqrt(3)` c. all p and r d. no p and r

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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

Knowledge Check

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

    A
    `|r/p-7|ge4sqrt3`
    B
    `|p/r-7|ge4sqrt3`
    C
    all p and r
    D
    no p and r

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

    A
    `|(r)/(p) - 7| ge 4sqrt(3)`
    B
    `|(p)/(r) - 7| ge 4sqrt(3)`
    C
    all p and r
    D
    no p and r

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

    A
    `|r/p-7| ge 4sqrt3`
    B
    `|p/r - 7| lt 4sqrt3`
    C
    all p and r
    D
    no p and r

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    If p,q and 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

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