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If $straight a greater than straight b greater than 0 comma space space AB space equals space straight a minus straight b space cm comma space space space BC space equals space 2 square root of ab space cm comma space space then space angle ABC$ is

$45 degree$
$60 degree$
$90 degree$
$90 degree$

130 Views

32.

If ab = 21 and $fraction numerator left parenthesis straight a plus straight b right parenthesis squared over denominator left parenthesis straight a minus straight b right parenthesis end fraction space equals space 25 over 4$ then value of $straight a squared plus straight b squared plus 3 ab$ is

155 Views

33.

Given, $straight a minus straight b space equals space 2$ and $straight a cubed minus straight b cubed space equals space 26$ then $left parenthesis straight a plus straight b right parenthesis squared$ is

130 Views

34.

If x + y + z = 9 then value of $left parenthesis straight x minus 4 right parenthesis cubed plus left parenthesis straight y minus 2 right parenthesis cubed plus left parenthesis straight z minus 3 right parenthesis cubed minus 3 left parenthesis straight x minus straight y right parenthesis left parenthesis straight y minus straight z right parenthesis left parenthesis straight z minus 3 right parenthesis$ is

131 Views

35.

If $straight a over straight b plus straight b over straight a equals negative 1$ , then the value of $straight a squared over straight b squared minus straight b squared over straight a squared$ is

1
-1
0
0

112 Views

36.

Among below expressions which one can be expressed as the difference of two cubic expressions?

$straight x cubed plus straight y cubed plus 3 straight x plus 3 straight y$
$straight x cubed plus 2 straight x squared plus 3 straight x plus straight x squared$
$straight x cubed plus 3 straight x squared plus 3 straight x minus 2$
$straight x cubed plus 3 straight x squared plus 3 straight x minus 2$

105 Views

37.
If $straight a squared plus 1 over straight a squared space equals space 7$ and V₁ and V₂ are the minimum and the maximum values of $straight a cubed plus 1 over straight a cubed comma space$ then $straight V subscript 2 minus straight V subscript 1$ is equal to

-36

36

72

72

107 Views

38.

If $straight x plus fraction numerator 1 over denominator 9 straight x end fraction space equals space 4 comma$ then $9 straight x squared plus fraction numerator 1 over denominator 9 straight x squared end fraction$ is

117 Views

39.

If a = 2, b = -3 then the value of $27 straight a cubed minus 54 straight a squared straight b space plus space 36 ab squared minus 8 straight b cubed$ is

1562
1616
1676
1676

95 Views

40.

If $straight a cubed plus 1 over straight a cubed space equals space 2 comma space$ then value of $fraction numerator straight a squared plus 1 over denominator straight a end fraction$ is (a is a positive number):