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101.
If $2 straight x plus 2 over straight x space equals space 1 comma$ then the value of $straight x cubed space plus space 1 over straight x cubed$ is

$13 over 8$
$negative 11 over 8$
$11 over 8$
$11 over 8$

negative 11 over 8

2 straight x plus 2 over straight x space space equals space 1

Take 2 as common

2 open parentheses straight x plus 1 over straight x close parentheses space equals space 1 rightwards double arrow space space space open parentheses straight x plus 1 over straight x close parentheses space equals space 1 half

straight x plus 1 over straight x space equals space straight a comma space space

then

straight x cubed space plus space 1 over straight x cubed space equals space straight a cubed space minus 3 straight a

straight x plus 1 over straight x space equals space open parentheses 1 half close parentheses cubed minus space 3 space cross times space 1 half space equals space 1 over 8 minus 3 over 2 space equals space fraction numerator 1 minus 12 over denominator 8 end fraction space equals space fraction numerator negative 11 over denominator 8 end fraction

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102.

If $straight a squared space plus space straight b squared space plus space 1 over straight a squared space plus space 1 over straight b squared space equals space 4 comma$ then the value of $straight a squared space plus space straight b squared$ will be

1
$1 1 half$
2
2

142 Views

103.

If $straight x cubed plus 3 straight x squared plus 3 straight x space equals space 7 comma$ then x is equal to

2
$cube root of 6$
1
1

165 Views

104.

If $2 straight x plus space fraction numerator 1 over denominator 3 straight x end fraction space equals space 6 comma$ then $3 straight x plus fraction numerator 1 over denominator 2 straight x end fraction$ is equal to

123 Views

105.

If $straight x squared space plus straight y squared space minus space 2 straight x space plus space 6 straight y space plus space 10 space equals space 0$ , then the value of (x² + y²) is

104 Views

106.

If a + b + c = 1 and ab + bc + ca = $1 third$ then a : b : c is

1 : 2 : 2
2 : 1 : 2
1 : 1 : 1
1 : 1 : 1

134 Views

107.

If $straight x space equals space left parenthesis square root of 2 space minus 1 right parenthesis to the power of negative 1 half end exponent$ then the value of $open parentheses straight x squared space minus space 1 over straight x squared close parentheses$ is

2
$negative 2 square root of 2$
$2 square root of 2$
$2 square root of 2$

197 Views

108.

If $square root of 7 square root of 7 square root of 7 square root of 7 end root end root end root space equals space left parenthesis 343 right parenthesis to the power of straight y minus 1 end exponent$ , then y is equal to

$2 over 3$
1
$4 over 3$
$4 over 3$

120 Views

109.

If a² = 2, then (a + 1) is equal to

a - 1
$fraction numerator 2 over denominator straight a minus 1 end fraction$
$fraction numerator straight a plus 1 over denominator 3 minus 2 straight a end fraction$
$fraction numerator straight a plus 1 over denominator 3 minus 2 straight a end fraction$

148 Views

110.

If $straight x to the power of 1 third end exponent space plus space straight y to the power of 1 third end exponent space equals space straight z to the power of 1 third end exponent comma$ then $left parenthesis straight x plus straight y minus straight z right parenthesis cubed space plus space 27 xyz$ is equal to