If
pr-qs
ps–qr
then show that each
p-q+r-sp-9-r+s
ratio
p+q+r+ S
4​

If
pr-qs
ps–qr
then show that each
p-q+r-sp-9-r+s
ratio
p+q+r+ S
4​

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Athena

1 thought on “If<br />pr-qs<br />ps–qr<br />then show that each<br />p-q+r-sp-9-r+s<br />ratio<br />p+q+r+ S<br />4​”

  1. Answer:

    In APOS, PO + OS > PS

    In A SOR, SO + ORSR

    In AROQ, RO + OR > RQ

    In AQOP, CO + OP > QP

    PS + PQ> QS.. .()

    RS + QR > QS. .(i)

    Adding (1) and (i)

    PS + PQ + RS + QR > 2QS….(ii)

    PS + RS > PR

    PQ + QR > PR

    PS + RS + PQ+QR > 2PR. .(v)

    Adding (ii) and (iv)

    2(PS+PQ + RS + OR) > 2(OS + PR)

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