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CBSE

Subject

Mathematics

Gujarati JEE Mathematics : શ્રેણિક

Multiple Choice Questions

31.

bold જ ો bold space bold A bold space bold equals bold space open square brackets table row bold 4 bold 4 row cell bold minus bold 3 end cell bold 4 end table close square brackets bold semicolon bold space bold B bold space bold equals bold space open square brackets table row bold 0 cell bold minus bold 1 end cell row bold 1 bold 0 end table close square brackets bold space bold ત ો bold space bold left parenthesis bold left parenthesis bold B to the power of bold minus bold 1 end exponent bold A to the power of bold minus bold 1 end exponent bold right parenthesis to the power of bold minus bold 1 end exponent

$open square brackets table row bold 4 cell bold minus bold 4 end cell row bold 4 bold 3 end table close square brackets$
$bold 1 over bold 10 open square brackets table row bold 3 bold 4 row cell bold minus bold 4 end cell bold 4 end table close square brackets$
$fraction numerator begin display style bold 1 end style over denominator begin display style bold 10 end style end fraction open square brackets table row bold 4 cell bold minus bold 4 end cell row bold 4 bold 3 end table close square brackets bold space$
$open square brackets table row bold 4 cell bold minus bold 4 end cell row bold 4 bold 4 end table close square brackets$

32.

bold જ ો bold space bold શ ્ ર ે ણ િ ક bold space bold space bold A subscript bold r bold space bold equals bold space open square brackets table row bold r cell bold r bold minus bold 1 end cell row cell bold r bold minus bold 1 end cell bold r end table close square brackets bold comma bold space bold r bold space bold equals bold space bold 1 bold comma bold 2 bold comma bold 3 bold space bold. bold. bold. bold. bold. bold. bold. bold. bold. bold space bold ત ો bold space bold vertical line bold A bold vertical line bold space bold plus bold space bold vertical line bold A subscript bold 2 bold vertical line bold space bold plus bold space bold. bold. bold. bold. bold. bold. bold. bold. bold space bold plus bold space bold vertical line bold A subscript bold 101 bold vertical line bold space bold equals bold space bold. bold. bold. bold. bold. bold. bold. bold. bold space

100
(100)²
101
(101)²

(101)²

Tips: -

bold A subscript bold 1 bold space bold equals bold space open square brackets table row bold 1 bold 0 row bold 0 bold 1 end table close square brackets bold space bold rightwards double arrow bold vertical line bold A subscript bold 1 bold vertical line bold space bold equals bold space bold 1 bold comma bold space bold A subscript bold 2 bold space bold equals bold space open square brackets table row bold 2 bold 1 row bold 1 bold 2 end table close square brackets bold space bold rightwards double arrow bold vertical line bold A subscript bold 2 bold vertical line bold space bold equals bold space bold 3 bold comma bold space bold A subscript bold 3 bold space bold equals bold space open square brackets table row bold 3 bold 2 row bold 2 bold 3 end table close square brackets bold space bold rightwards double arrow bold vertical line bold A subscript bold 3 bold vertical line bold space bold equals bold space bold 5 bold. bold. bold. bold vertical line bold A subscript bold 1 bold vertical line bold space bold plus bold space bold vertical line bold A subscript bold 2 bold vertical line bold space bold plus bold space bold. bold. bold. bold. bold. bold. bold space bold plus bold space bold vertical line bold A subscript bold 101 bold vertical line bold space bold space bold space bold space bold space bold space bold space bold space bold equals bold space bold 1 bold space bold plus bold space bold 3 bold space bold plus bold space bold 5 bold space bold plus bold space bold. bold. bold. bold. bold. bold. bold. bold space bold plus bold space bold 201 bold space bold equals bold space bold left parenthesis bold 101 bold right parenthesis subscript bold 2

33.

bold જ ો bold space bold A bold space bold equals bold space open square brackets table row bold 2 bold 2 row bold 2 bold 5 end table close square brackets bold space bold અન ે bold space bold B bold space bold equals bold space open square brackets table row bold 2 bold 1 row cell bold minus bold 1 end cell bold 2 end table close square brackets bold space bold ત ો bold space bold B to the power of bold minus bold 1 end exponent bold AB bold space bold equals bold space bold. bold. bold. bold. bold. bold. bold. bold.

$open square brackets table row bold 1 bold 0 row bold 0 cell bold minus bold 6 end cell end table close square brackets$
$open square brackets table row bold 1 bold 0 row bold 0 bold 6 end table close square brackets bold space$
$open square brackets table row bold 5 bold 0 row bold 0 bold 30 end table close square brackets bold space$
$open square brackets table row cell bold minus bold 1 end cell bold 0 row bold 0 bold 6 end table close square brackets$

34.

bold જ ો bold space bold A to the power of bold n bold space bold equals bold space open square brackets table row cell bold 2 bold n end cell bold 0 bold 0 row bold 0 cell bold 2 bold n end cell bold 9 row bold 0 bold 0 cell bold 2 bold n end cell end table close square brackets bold space bold ત ો bold comma bold space bold A to the power of bold 10 bold space bold equals bold space bold. bold. bold. bold. bold.

1024 I
128A
512 I
256 I

35.

bold જ ો bold space bold A bold space bold equals bold space open square brackets table row bold 1 bold m row bold 0 bold 1 end table close square brackets bold space bold ત ો bold space bold A to the power of bold n bold space bold equals bold space bold. bold. bold. bold. bold. bold. bold. bold space

$open square brackets table row bold n bold mn row bold 0 bold n end table close square brackets$
$open square brackets table row bold n bold n row bold 0 bold n end table close square brackets$
$open square brackets table row bold 1 bold mn row bold 0 bold 1 end table close square brackets$
$open square brackets table row bold 1 cell bold m to the power of bold n end cell row bold 0 bold 1 end table close square brackets$