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If $straight x open parentheses 3 minus 2 over straight x close parentheses space equals space 3 over straight x comma space$ then the value of $straight x squared plus 1 over straight x squared$ will be

$3 1 over 9$
$3 2 over 9$
$2 1 over 9$
$2 1 over 9$

104 Views

42.
If $fraction numerator straight a over denominator straight q minus straight r end fraction equals space fraction numerator straight b over denominator straight r minus straight p end fraction equals fraction numerator straight c over denominator straight p minus straight q end fraction$ , then the value of pa + qb + rc is

0

1

2

2

fraction numerator straight a over denominator straight q minus straight r end fraction space equals space fraction numerator straight b over denominator straight r minus straight p end fraction space equals space fraction numerator straight c over denominator straight p minus straight q end fraction space equals space straight k

straight a space equals space straight k left parenthesis straight q minus straight r right parenthesis comma space space straight b space equals straight k left parenthesis straight r minus straight p right parenthesis comma space space straight c space equals space straight k left parenthesis straight p minus straight q right parenthesis pa space equals space pk left parenthesis straight q minus straight r right parenthesis comma space qb space equals space qk left parenthesis straight r minus straight p right parenthesis comma space rc equals space rk left parenthesis straight p minus straight q right parenthesis

therefore space space space pq plus qb plus rc space equals space pk left parenthesis straight q minus straight r right parenthesis plus qk left parenthesis straight r minus straight p right parenthesis plus rk left parenthesis straight p minus straight q right parenthesis space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals straight k left square bracket pq minus pr plus qr minus qp plus rp minus rq right square bracket space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space straight k space straight x space 0 space equals space 0

122 Views

43.

The simplest value of $fraction numerator 3 square root of 8 minus 2 square root of 12 plus square root of 20 over denominator 3 square root of 18 minus 2 square root of 27 plus square root of 45 end fraction space$ is

$3 over 2$
$2 over 3$
$1 third$
$1 third$

101 Views

44.

If $open parentheses straight a plus 1 over straight a close parentheses squared space equals space 3$ , then the value of $straight a cubed plus 1 over straight a cubed$ is

0
$3 open parentheses straight a plus 1 over straight a close parentheses$
$3 open parentheses straight a squared plus 1 over straight a squared close parentheses$
$3 open parentheses straight a squared plus 1 over straight a squared close parentheses$

113 Views

45.

If $fraction numerator straight a squared plus straight b squared over denominator straight c squared end fraction space equals space fraction numerator straight b squared plus straight c squared over denominator straight a squared end fraction space equals fraction numerator straight c squared plus straight a squared over denominator straight b squared end fraction space equals space 1 over straight k comma space left parenthesis straight k not equal to 0 right parenthesis space then space straight k space equals space ?$

155 Views

46.

If $2 straight x plus fraction numerator 2 over denominator 9 straight x end fraction space equals 4 comma$ then the value of $27 straight x cubed plus fraction numerator 1 over denominator 27 straight x cubed end fraction$

90 Views

47.

If $straight x squared plus 1 over straight x squared equals space space 2 comma space$ then the value of $straight x minus 1 over straight x$ is

-2
0
1
1

93 Views

48.

If $pq left parenthesis straight p plus straight q right parenthesis space equals space 1 comma space$ then the value of $fraction numerator 1 over denominator straight p cubed straight q cubed end fraction minus straight p cubed minus straight q cubed$ is equal to

106 Views

49.

If $straight x equals space square root of 2 plus 1 comma$ then the value of $straight x to the power of 4 minus 1 over straight x to the power of 4$ is

$8 square root of 2$
$18 square root of 2$
$6 square root of 2$
$6 square root of 2$

91 Views

50.

If $9 straight x squared plus 16 straight y squared space equals space 60$ and $3 straight x plus 4 straight y space equals space 6 comma$ then the value of xy is