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Gujarati JEE Mathematics : નિશ્વાયક

Multiple Choice Questions

71.

જો $bold f bold left parenthesis bold x bold right parenthesis bold space bold equals bold space open vertical bar table row bold x cell bold e to the power of bold x to the power of bold 4 end cell bold cosx row cell bold cosec bold space bold x end cell bold 3 bold secx row bold cotx cell bold x to the power of bold 2 end cell bold 7 end table close vertical bar bold space bold ત ો bold space table row cell bold pi over bold 2 end cell row bold integral row cell fraction numerator bold minus bold pi over denominator bold 2 end fraction end cell end table bold f bold left parenthesis bold x bold right parenthesis bold space bold dx bold space bold equals bold space bold. bold. bold. bold. bold. bold. bold.$

0
34
$bold 1 bold equals bold minus bold pi over bold 2$
$bold 5 bold e to the power of bold pi$

72.

જો y = -9 એ આપેલ સમીકરણનું એક બીજ છે, તો $open vertical bar table row bold y bold 3 bold 7 row bold 2 bold y bold 2 row bold 7 bold 6 bold y end table close vertical bar$ નાં બીજાં બીજ ........ છે.

-2 અને 7
2 અને 7
-2 અને -7
2 અને -7

2 અને 7

Tips: -

$open vertical bar table row cell bold y bold plus bold 9 end cell cell bold y bold plus bold 9 end cell cell bold y bold plus bold 9 end cell row bold 2 bold y bold 2 row bold 7 bold 6 bold y end table close vertical bar bold space bold equals bold space bold 0 bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold R subscript bold 21 bold left parenthesis bold 1 bold right parenthesis bold comma bold space bold R subscript bold 31 bold left parenthesis bold 1 bold right parenthesis bold space bold left parenthesis bold y bold space bold plus bold space bold 9 bold right parenthesis bold space open vertical bar table row bold 1 bold 1 bold 1 row bold 2 bold y bold 2 row bold 7 bold 6 bold y end table close vertical bar bold space bold equals bold space bold 0 bold space bold left parenthesis bold y bold space bold plus bold space bold 9 bold right parenthesis bold space open vertical bar table row bold 1 bold 0 bold 0 row bold 2 cell bold y bold minus bold 2 end cell bold 0 row bold 7 cell bold minus bold 1 end cell bold y end table bold minus bold 7 close vertical bar bold space bold equals bold space bold 0 bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold C subscript bold 12 bold left parenthesis bold minus bold 1 bold right parenthesis bold comma bold space bold C subscript bold 13 bold left parenthesis bold minus bold 1 bold right parenthesis$

∴ (y+9)(y-2)(y-7) = 0

∴ y = 9 આપેલ છે. આથી y = 2, y=7 અન્ય બીજ છે.

73.

જો α, β અને γ એ સમીકરણ x³ + px + q = 0 નાં બીજ હોય, તો નું મૂલ્ય .......... છે.

3pq
p² = 2q
p + q
p - q

74.

bold f bold left parenthesis bold x bold right parenthesis bold space bold equals bold space open vertical bar table row bold x bold 1 bold 1 row bold 1 bold x bold 1 row bold 1 bold 1 bold x end table close vertical bar bold space bold ત ો bold space table row bold 1 row bold integral row bold 0 end table bold f bold left parenthesis bold x bold right parenthesis bold dx bold space bold equals bold space bold. bold. bold. bold. bold. bold. bold.

$fraction numerator bold minus bold 3 over denominator bold 4 end fraction$
$bold 1 over bold 4$
$bold 2 over bold 3$
$bold 3 over bold 4$

75.

જો $bold f bold left parenthesis bold x bold right parenthesis bold space bold equals bold space open vertical bar table row bold 1 bold cosx row bold cosx bold 1 end table close vertical bar bold comma bold space bold ત ો bold space table row cell bold pi over bold 2 end cell row bold integral row cell fraction numerator bold minus bold pi over denominator bold 2 end fraction end cell end table bold f bold left parenthesis bold x bold right parenthesis bold dx bold space bold equals bold space bold. bold. bold. bold. bold. bold. bold.$

$bold pi over bold 2 bold space$
$bold pi$
$bold space bold 2 bold pi$
2

76.

open vertical bar table row cell bold left parenthesis bold b bold plus bold c bold right parenthesis to the power of bold 2 end cell cell bold a to the power of bold 2 end cell cell bold a to the power of bold 2 end cell row cell bold b to the power of bold 2 end cell cell bold left parenthesis bold c bold plus bold a bold right parenthesis to the power of bold 2 end cell cell bold b to the power of bold 2 end cell row cell bold c to the power of bold 2 end cell cell bold c to the power of bold 2 end cell cell bold left parenthesis bold a bold plus bold b bold right parenthesis to the power of bold 2 end cell end table close vertical bar bold space bold equals bold space bold k bold space bold abc bold left parenthesis bold a bold plus bold b bold plus bold c bold right parenthesis to the power of bold 3 bold space bold equals bold space bold. bold. bold. bold. bold. bold. bold. bold. bold. bold. bold. bold.

-1
1
-2
2

77. જો $bold f bold left parenthesis bold x bold right parenthesis bold space bold equals bold space open vertical bar table row cell bold x to the power of bold 5 end cell cell bold sin to the power of bold 2 bold x end cell cell bold 3 to the power of bold x to the power of bold 4 end cell row cell bold tan to the power of bold 3 bold x end cell bold 1 cell bold sec to the power of bold 2 bold x end cell row cell bold minus bold sin to the power of bold 5 bold x end cell cell bold x to the power of bold 6 end cell bold 5 end table close vertical bar bold space bold ત ો bold space table row bold pi row bold integral row cell bold minus bold pi end cell end table bold f bold left parenthesis bold x bold right parenthesis bold dx bold space bold equals bold space bold. bold. bold. bold. bold. bold. bold.$

0
1
2
-2

78.

સમીકરણો (x + 1)x + 8y = 4k અને kx + (k + 3)y = 3k - 1 નો ઉકેલ મળે નહિ, તો k = ......

k ∈ R
1
2
3

79.

open vertical bar table row bold x cell bold minus bold 6 end cell cell bold minus bold 1 end cell row bold 2 cell bold minus bold 3 bold x end cell cell bold x bold minus bold 3 end cell row cell bold minus bold 3 end cell cell bold 2 bold x end cell cell bold x bold plus bold 2 end cell end table close vertical bar bold space bold equals bold space bold 0

3 અથવા 2 અથવા 1
-3 અથવા 2 અથવા 1
-3 અથવા - 2 અથવા 1
-3 અથવા 2 અથવા -1

80.

જો a,b,c એ સ્વરિત શ્રેણીના અનુક્રમે p માં, r માં પદ હોય તો $open vertical bar table row bold bc bold ca bold ab row bold p bold q bold r row bold 1 bold 1 bold 1 end table close vertical bar$ નું મુલ્ય ..... છે.

0
pqr
abc
એક પણ નહિ

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Gujarati JEE Mathematics : નિશ્વાયક

Multiple Choice Questions

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