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Maths-

General

Easy

Question

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

1
–1
0
none of these

The correct answer is: –1

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x⁴ –4x –1 = 0 has

x⁴ –4x –1 = 0 has

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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

parallel

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

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

parallel

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

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

parallel

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 :

$open parentheses fraction numerator 2 i over denominator 1 plus i end fraction close parentheses to the power of 2 end exponent$ is equal to

$open parentheses fraction numerator 2 i over denominator 1 plus i end fraction close parentheses to the power of 2 end exponent$ is equal to

If z lies on the circle ½z½=1, then $fraction numerator 2 over denominator z end fraction$ lies on

If z lies on the circle ½z½=1, then $fraction numerator 2 over denominator z end fraction$ lies on

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A siren emitting sound of frequency 500 Hz is going away from a static listener with a speed of 50 m/sec The frequency of sound to be heard, directly from the siren

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Physics-General

parallel

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