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Suppose A, B, C are defined as A=a^2b+a ...

Suppose A, B, C are defined as `A=a^2b+a b^2-a^2c-a c^2, B=b^2c+b c^2-a^2b-a b^2, a n dC=a^2c+a c^2-b^2c-b c^2, w h e r ea > b > c >0` and the equation `A x^2+B x+C=0` has equal roots, then `a ,b ,c` are in `AdotPdot` b. `GdotPdot` c. `HdotPdot` d. `AdotGdotPdot`

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Step by step text solution for Suppose A, B, C are defined as A=a^2b+a b^2-a^2c-a c^2, B=b^2c+b c^2-a^2b-a b^2, a n dC=a^2c+a c^2-b^2c-b c^2, w h e r ea > b > c >0 and the equation A x^2+B x+C=0 has equal roots, then a ,b ,c are in AdotPdot b. GdotPdot c. HdotPdot d. AdotGdotPdot by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

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Knowledge Check

  • Suppose A, B, C are defined as A = a^(2)b + ab^(2) - a^(2)c - ac^(2), B = b^(2)c + bc^(2) - a^(2)b - ab^(2) , and C = a^(2)c + ac^(2) - b^(2)c - bc^(2) , where a gt b gt c gt 0 and the equation Ax^(2) + Bx + C = 0 has equal roots, then a, b, c are in

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    A.P.
    B
    G.P.
    C
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    D
    A.G.P.

  • If a(b-c) x^(2)+b (c-a) x+c (a-b)=0 has equal roots, then 2/b=

    A
    `(1)/(a) +(1)/(c )`
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    `a+c`
    C
    `1//a+c`
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    `a+1//c`

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