9d:I[19230,["62428","static/chunks/62428-c81274bc69adac0b.js?dpl=2c3ad472a267c1a5310961af61bd25b82982a7f6-r37084206677a1","45863","static/chunks/45863-901388cc124c4eeb.js?dpl=2c3ad472a267c1a5310961af61bd25b82982a7f6-r37084206677a1","84710","static/chunks/84710-ca676cd6ff738bff.js?dpl=2c3ad472a267c1a5310961af61bd25b82982a7f6-r37084206677a1","52493","static/chunks/52493-d13949ed529caee0.js?dpl=2c3ad472a267c1a5310961af61bd25b82982a7f6-r37084206677a1","37591","static/chunks/37591-1597fa929267dc23.js?dpl=2c3ad472a267c1a5310961af61bd25b82982a7f6-r37084206677a1","69871","static/chunks/69871-f05322a82ee25afd.js?dpl=2c3ad472a267c1a5310961af61bd25b82982a7f6-r37084206677a1","17205","static/chunks/17205-a7806ab89d1cb417.js?dpl=2c3ad472a267c1a5310961af61bd25b82982a7f6-r37084206677a1","37995","static/chunks/37995-0b8fd1629c9abc9b.js?dpl=2c3ad472a267c1a5310961af61bd25b82982a7f6-r37084206677a1","16947","static/chunks/16947-62190f9e212c226a.js?dpl=2c3ad472a267c1a5310961af61bd25b82982a7f6-r37084206677a1","3111","static/chunks/3111-1db9caea64f6df79.js?dpl=2c3ad472a267c1a5310961af61bd25b82982a7f6-r37084206677a1","99639","static/chunks/99639-1fc409ef85974b87.js?dpl=2c3ad472a267c1a5310961af61bd25b82982a7f6-r37084206677a1","19230","static/chunks/19230-e53d1f132e465887.js?dpl=2c3ad472a267c1a5310961af61bd25b82982a7f6-r37084206677a1","80363","static/chunks/app/learn/%5BcanonicalUrl%5D/%5B...lessonSlug%5D/page-9bdd4e9d8270945f.js?dpl=2c3ad472a267c1a5310961af61bd25b82982a7f6-r37084206677a1"],"default"] 8f:["$","$1","4",{"children":" satisfy"}] 9a:T164a,

\frac{x}{pq-r^2}=\frac{y}{qr-p^2}=\frac{z}{rp-q^2}

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px+qy+rz

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p^2+q^2+r^2

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pqr

"}}]]}]]}]]]}],["$","li","D",{"children":[["$","span",null,{"className":"font-semibold","children":["D","."]}]," ",[["$","p","0",{"children":[["$","$1","0",{"children":[["$","span","0",{"dangerouslySetInnerHTML":{"__html":"$9c"}}]]}]]}]]]}]]}] 93:["$","p",null,{"className":"mt-3 text-sm text-content-secondary","data-ssr-question-analytics":true,"children":["Attempted by ",1," students","","."]}] 94:["$","div",null,{"id":"locked-question-solution","className":"kg-paywalled-solution","data-ssr-solution-paywall":true,"children":[["$","p",null,{"children":"Sign up free to check your answer"}],["$","a",null,{"href":"/auth/login","className":"underline","children":"Sign up free"}]]}] 95:["$","nav",null,{"aria-label":"More questions in this collection","className":"mt-8","data-ssr-question-nav":true,"children":[["$","p",null,{"className":"text-sm text-content-secondary","children":["Question ",2," of ",3," ",["$","span",null,{"className":"inline-flex shrink-0 text-xs font-medium text-content-muted","children":"Q96051"}]," in"," ",["$","a",null,{"href":"/learn/APTITUDE-FOR-GATE/general-aptitude/algebra/laws-identities-of-algebra/pyq-questions","className":"text-content-success hover:underline","children":"PYQ Questions"}],"."]}],["$","ul",null,{"className":"mt-2 flex list-none flex-wrap gap-x-4 gap-y-2 pl-0 text-sm","children":[["$","li",null,{"children":["$","a",null,{"href":"/learn/APTITUDE-FOR-GATE/general-aptitude/algebra/laws-identities-of-algebra/pyq-questions?q=68ecabd795474565f43ee962","className":"text-content-success hover:underline","data-ssr-question-prev":true,"children":"← Previous question"}]}],["$","li",null,{"children":["$","a",null,{"href":"/learn/APTITUDE-FOR-GATE/general-aptitude/algebra/laws-identities-of-algebra/pyq-questions?q=6ab7a1dbd26eb5acfad9c11a","className":"text-content-success hover:underline","data-ssr-question-next":true,"children":"Next question →"}]}],[]]}]]}] 96:["$","p",null,{"className":"mt-8","children":["$","$L2f",null,{"href":"/courses/APTITUDE-FOR-GATE","className":"inline-block rounded-lg bg-surface-success-strong px-5 py-2.5 font-semibold text-content-inverse","data-ssr-enroll-cta":true,"children":["Explore the full course:"," ","Aptitude For Gate"]}]}] 98:["$","div",null,{"data-learn-authed-skeleton":true,"className":"min-h-[var(--kg-design-utility-min-h-451bd10b)]","children":["$","$L9d",null,{"variant":"question"}]}]

The real variables \(x, y, z\), and the real constants \(p, q, r\) satisfy…