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If the roots of the equation ax^(2) + bx...

If the roots of the equation `ax^(2) + bx + 4x = 0` are in the ratio of `3 : 4`,

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Knowledge Check

  • If the roots of the equation ax^(2) - bx + 5c = 0 are in the ratio of 4 : 5 , then

    A
    `ab = 18c^(2)`
    B
    `81b^(2) = 4ac`
    C
    `bc = a^(2)`
    D
    `4b^(2) = 81ac`

  • If the roots of the equation 3ax^(2) + 2bx + c = 0 are in the ratio 2 : 3, then which one of the following is correct ?

    A
    `8ac = 25b^(2)`
    B
    `8ac = 9b^(2)`
    C
    `8b^(2) = 9ac`
    D
    `8b^(2) = 25ac`

  • The equation formed by multiplying each root of ax^(2) + bx+ c = 0" by "2 " is "x^(2) = 36x + 24 =0 If the roots of the equation 3ax^(2)+ 2bx + c = 0 are in the ratio 2:3 , then which one of the following is correct ?

    A
    `8ac=25b`
    B
    `8ac=9b^(2)`
    C
    `8b^(2)=9ac`
    D
    `8b^(2) = 2 5ac`

    • Similar Questions

    Explore conceptually related problems

    If the roots of the equation 3ax^(2)+2bx+c=0 are in the ratio 2:3, then

    If a+b+c=0 then roots of the equation 3ax^(2)+4bx+5c=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 Ax^(2)+Bx+C=0 . If D_(1) and D_(2) are the discriminants of ax^(2)+bx+c=0 and Ax^(2)+Bx+C=0 respectively, then D_(1):D_(2) =

    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 discriminants of ax^(2)+bx+c=0 and px^(2)+qx+r=0 respectively, then D_(1):D_(2)=

    The ratio of the roots of the equation ax^(2)+bx+c=0 is same as the ratio of the roots of equation px^(2)+qx+r=0 . If D_(1) and D_(2) are the discriminants of ax^(2)+bx+c=0 and px^(2)+qx+r=0 respectively then D_(1):D_(2)=

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