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`        Let m and n be the roots of equation px^2 +qx +r=0, p not equal to zero. If p,q and r are in AP and 1/m + 1/n =4, then the value of [m-n] is`
2 years ago

```							Here.  m+n = -q/p             Mn = r/p       1/m + 1/n = 4        .m+n = 4mn          -q/p = 4r/p            -q = 4r  P,q,r are iñ A.PP+r = 2qP+r = 2(-4r)P = - 9r Hence m+n = 4mn = -4/9 .         (m-n)^2=(m+n)^2 - 4mn              (m-n)^2 = (-4/9)^2 - (-4/9)               (m-n)^2 = 52/81              (m-n) = 2√13 /9
```
2 years ago
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