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Maths-

General

Easy

Question

$chi rightwards arrow right ceiling I i m fraction numerator x minus 1 over denominator 2 x to the power of 2 end exponent minus 7 x plus 5 end fraction equals$

1/3
1/11
-1/3
None of these

The correct answer is: -1/3

Related Questions to study

$x rightwards arrow 0 I i m fraction numerator vertical line x vertical line over denominator chi end fraction equals$

$x rightwards arrow 0 I i m fraction numerator vertical line x vertical line over denominator chi end fraction equals$

If $f left parenthesis x right parenthesis equals left curly bracket x blank s i n blank fraction numerator 1 over denominator chi end fraction comma$ $x not equal to 0$ , then $stack l i m with x rightwards arrow 0 below f left parenthesis x right parenthesis equals$ $0 comma$ x=0

If $f left parenthesis x right parenthesis equals left curly bracket x blank s i n blank fraction numerator 1 over denominator chi end fraction comma$ $x not equal to 0$ , then $stack l i m with x rightwards arrow 0 below f left parenthesis x right parenthesis equals$ $0 comma$ x=0

A class contains 3 girls and four boys. Every Saturday five students go on a picnic, a different group of students is being sent each week. During the picnic, each girl in the group is given a doll by the accompanying teacher. All possible groups of five have gone once, the total number of dolls the girls have got is:

A class contains 3 girls and four boys. Every Saturday five students go on a picnic, a different group of students is being sent each week. During the picnic, each girl in the group is given a doll by the accompanying teacher. All possible groups of five have gone once, the total number of dolls the girls have got is:

parallel

Five balls of different colours are to be placed in three boxes of different sizes. Each box can hold all five balls. The number of ways in which we can place the balls in the boxes ( order is not considered in the box) so that no box remains empty is

Five balls of different colours are to be placed in three boxes of different sizes. Each box can hold all five balls. The number of ways in which we can place the balls in the boxes ( order is not considered in the box) so that no box remains empty is

If the equations x²+ax+b=0 and x²+bx+a=0 have exactly one common root, then the numerical value of a + b is

If the equations x²+ax+b=0 and x²+bx+a=0 have exactly one common root, then the numerical value of a + b is

x⁴ –4x –1 = 0 has

x⁴ –4x –1 = 0 has

parallel

The set of values of p for which the roots of the equation 3x² +2x +p(p-1) = 0 are of opposite sign is

The set of values of p for which the roots of the equation 3x² +2x +p(p-1) = 0 are of opposite sign is

If a + b + c > $fraction numerator 9 c over denominator 4 end fraction$ and equation ax² + 2bx – 5c = 0 has non–real complex roots, then

If a + b + c > $fraction numerator 9 c over denominator 4 end fraction$ and equation ax² + 2bx – 5c = 0 has non–real complex roots, then

If a, b, c be the sides of DABC and equations ax² + bx + c = 0 and 5x² + 12x + 13 = 0 have a common root, then ÐC is

If a, b, c be the sides of DABC and equations ax² + bx + c = 0 and 5x² + 12x + 13 = 0 have a common root, then ÐC is

parallel

If I_n is the identity matrix of order n, then (I_n)^–1</su

If I_n is the identity matrix of order n, then (I_n)^–1</su

If I = $open square brackets table row 1 0 row 0 1 end table close square brackets$ , J = $open square brackets table row 0 1 row cell negative 1 end cell 0 end table close square brackets$ and B = $open square brackets table row cell cos invisible function application theta end cell cell sin invisible function application theta end cell row cell negative sin invisible function application theta end cell cell cos invisible function application theta end cell end table close square brackets$ , then B equals

If I = $open square brackets table row 1 0 row 0 1 end table close square brackets$ , J = $open square brackets table row 0 1 row cell negative 1 end cell 0 end table close square brackets$ and B = $open square brackets table row cell cos invisible function application theta end cell cell sin invisible function application theta end cell row cell negative sin invisible function application theta end cell cell cos invisible function application theta end cell end table close square brackets$ , then B equals

If A‘ is the transpose of a square matrix A, then

If A‘ is the transpose of a square matrix A, then

parallel

$open vertical bar table row 103 115 114 row 111 108 106 row 104 113 116 end table close vertical bar plus open vertical bar table row 113 116 104 row 108 106 111 row 115 114 103 end table close vertical bar$ is equal to :

$open vertical bar table row 103 115 114 row 111 108 106 row 104 113 116 end table close vertical bar plus open vertical bar table row 113 116 104 row 108 106 111 row 115 114 103 end table close vertical bar$ is equal to :

The system AX = B of n equations in n unknowns has infinitely many solutions if

The system AX = B of n equations in n unknowns has infinitely many solutions if

The value of $open vertical bar table row cell sin invisible function application theta end cell cell cos invisible function application theta end cell cell sin invisible function application 2 theta end cell row cell sin invisible function application open parentheses theta plus fraction numerator 2 pi over denominator 3 end fraction close parentheses end cell cell cos invisible function application open parentheses theta plus fraction numerator 2 pi over denominator 3 end fraction close parentheses end cell cell sin invisible function application open parentheses 2 theta plus fraction numerator 4 pi over denominator 3 end fraction close parentheses end cell row cell sin invisible function application open parentheses theta minus fraction numerator 2 pi over denominator 3 end fraction close parentheses end cell cell cos invisible function application open parentheses theta minus fraction numerator 2 pi over denominator 3 end fraction close parentheses end cell cell sin invisible function application open parentheses 2 theta minus fraction numerator 4 pi over denominator 3 end fraction close parentheses end cell end table close vertical bar$ is :

The value of $open vertical bar table row cell sin invisible function application theta end cell cell cos invisible function application theta end cell cell sin invisible function application 2 theta end cell row cell sin invisible function application open parentheses theta plus fraction numerator 2 pi over denominator 3 end fraction close parentheses end cell cell cos invisible function application open parentheses theta plus fraction numerator 2 pi over denominator 3 end fraction close parentheses end cell cell sin invisible function application open parentheses 2 theta plus fraction numerator 4 pi over denominator 3 end fraction close parentheses end cell row cell sin invisible function application open parentheses theta minus fraction numerator 2 pi over denominator 3 end fraction close parentheses end cell cell cos invisible function application open parentheses theta minus fraction numerator 2 pi over denominator 3 end fraction close parentheses end cell cell sin invisible function application open parentheses 2 theta minus fraction numerator 4 pi over denominator 3 end fraction close parentheses end cell end table close vertical bar$ is :

parallel

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