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Which is the following is always true ? ...

Which is the following is always true ?
(a) If `a lt b, " then " a^2 lt b^2`
(b ) If `a lt b "then " 1/a gt 1/b`
( c) If `a lt b , " then " |a| lt |b|`

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The correct Answer is:
None
is not always truye a=-4 and b=3 , given statement is not true
(b) is not always true for a = -3 and b=2 given statement is not true
(c ) is not always true for a = -5 and b =3 given statement is not true
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Knowledge Check

  • Suppose a, b, c are in a.P and a^(2), b^(2), c^(2) are in G.P. If a lt b lt c and a + b + c = 3/2 then the value of a Is

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  • If ax^2 + bx + c = 0, a, b, c in R has no real zeros, and if a + b + c + lt 0, then

    A
    `c gt 0`
    B
    `c lt 0`
    C
    ` c = 0`
    D
    `c le 0`

  • Given that x, y and b are real numbers x lt y, b gt 0, then

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    xb `lt` yb
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