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If c!=0 and the equation p//(2x)=a//(x+...

If `c!=0` and the equation `p//(2x)=a//(x+c)+b//(x-c)` has two equal roots, then `p` can be `(sqrt(a)-sqrt(b))^2` b. `(sqrt(a)+sqrt(b))^2` c. `a+b` d. `a-b`

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Knowledge Check

  • If c ne 0 and the equation (p)/(2x)=(a)/(x+c)+(b)/(x-c) has two equal roots, then p can be

    A
    `(sqrt(a)-sqrt(b))^(2)`
    B
    `(sqrt(a)+sqrt(b))^(2)`
    C
    `a+b`
    D
    `a-b`

  • 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 )`
    B
    `a+c`
    C
    `1//a+c`
    D
    `a+1//c`

  • If roots of the equation (a-b)x^2+(c-a)x+(b-c)=0 are equal, then a, b and c are in

    A
    AP
    B
    HP
    C
    GP
    D
    None of these

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