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If p, q, r be real then the intervals i...

If `p, q, r` be real then the intervals in which, `f(x)=|(x+q^(2),pq,pr),(pq,x+p^(2),qr),(pr,qr,x+r^(2))|`

A

increases is `x lt - 2/3 (p^(2)+q^(2)+r^(2)), x gt 0`

B

decrease is `"(" -2/3(p^(2)+q^(2)+r^(2)), x")"`

C

decrease is `x lt - 2/3 (p^(2)+q^(2)+r^(2)), x gt 0`

D

increase is `"("- 2/3(p^(2)+q^(2)+r^(2)),0")"`

Text Solution

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The correct Answer is:
A, B
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If p, q, r be real, then the intervals in which, f(x)=|(x+p^2,pq,pr),(pq,x+q^2,qr),(pr,qr,x+r^2)|

Factorise: p^(2)q-pr^(2)-pq+r^(2)

Knowledge Check

  • If p,q and r are rational numbers, then the roots of the equation x^(2) - 2px + p^(2) + 2 qr - r^(2) = 0 are

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