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If p+q+r=0=a+b+c , then the value of the...

If `p+q+r=0=a+b+c ,` then the value of the determnalnt `|p a q b r c q c r a p b r b p c q a|i s` `0` b. `p a+q b+r c` c. `1` d. none of these

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Knowledge Check

  • If a,b,c be the pth , qth, rth terms of a GP then the value of (q-r)log a+ (r-p) log b + (p-q) log c is:

    A
    0
    B
    1
    C
    `-1`
    D
    pqr

  • If the pth ,qth and the rth terms of a G.P. be respectively a,b and c then the value of a^q-r, b^r-p, c^p-q is:

    A
    0
    B
    1
    C
    3
    D
    abc//pqr

  • If a,b,c be respectively the sum of first p,q,r terms of an A.P. then a/p(q-r) + b/q(r-p) + c/r(p-q) equals :

    A
    pqr
    B
    ab+bq +cr
    C
    0
    D
    p+q+r

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    If p/a + q/b + r/c=1 and a/p + b/q + c/r=0 , then the value of p^(2)/a^(2) + q^(2)/b^(2) + r^(2)/c^(2) is:

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    If anep,bne q,cner and |(p,b,c),(a,q,c),(a,b,r)| =0 , then the value of p/(p-a)+q/(q-b)+r/(r-c) is

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