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Maths-

General

Easy

Question

The area of the elliptic quadratic with the semi major axis and semi minor axis as 6 and 4 respectively

$6 π$ sq units
$4 π$ sq units
$24 π$ sq units
$12 π$ sq units

The correct answer is: $6 pi blank$ sq units

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The area of circle circumscribing ΔABC is

The area of circle circumscribing ΔABC is

Statement-I : The statement that circumradius and inradius of a triangle are 12 and 8 respectively can not be correct. Statement-II : Circumradius 2 (inradius)

Statement-I : The statement that circumradius and inradius of a triangle are 12 and 8 respectively can not be correct. Statement-II : Circumradius 2 (inradius)

The complete solution set of the equation $open vertical bar x to the power of 2 end exponent minus x close vertical bar plus vertical line x plus 3 vertical line equals open vertical bar x to the power of 2 end exponent minus 2 x minus 3 close vertical bar$ is

The complete solution set of the equation $open vertical bar x to the power of 2 end exponent minus x close vertical bar plus vertical line x plus 3 vertical line equals open vertical bar x to the power of 2 end exponent minus 2 x minus 3 close vertical bar$ is

parallel

The solution(s) of the equation cos2x sin6x = cos3x sin5x in the interval [0, $straight pi$ ] is/are –

The solution(s) of the equation cos2x sin6x = cos3x sin5x in the interval [0, $straight pi$ ] is/are –

The equation $4 s i n to the power of 2 end exponent invisible function application x minus 2 left parenthesis square root of 3 plus 1 right parenthesis s i n invisible function application x plus square root of 3 equals 0$ has

The equation $4 s i n to the power of 2 end exponent invisible function application x minus 2 left parenthesis square root of 3 plus 1 right parenthesis s i n invisible function application x plus square root of 3 equals 0$ has

$s i n to the power of 2 end exponent invisible function application x minus c o s invisible function application 2 x equals 2 minus s i n invisible function application 2 x$ if

$s i n to the power of 2 end exponent invisible function application x minus c o s invisible function application 2 x equals 2 minus s i n invisible function application 2 x$ if

parallel

$fraction numerator 3 x squared plus x plus 1 over denominator left parenthesis x minus 1 right parenthesis to the power of 4 end fraction equals fraction numerator a over denominator left parenthesis x minus 1 right parenthesis end fraction plus fraction numerator b over denominator left parenthesis x minus 1 right parenthesis squared end fraction plus fraction numerator c over denominator left parenthesis x minus 1 right parenthesis cubed end fraction plus fraction numerator d over denominator left parenthesis x minus 1 right parenthesis to the power of 4 end fraction text then end text open square brackets table attributes columnalign left left columnspacing 1em end attributes row cell a b end cell row cell c d end cell end table close square brackets equals$

$fraction numerator 3 x squared plus x plus 1 over denominator left parenthesis x minus 1 right parenthesis to the power of 4 end fraction equals fraction numerator a over denominator left parenthesis x minus 1 right parenthesis end fraction plus fraction numerator b over denominator left parenthesis x minus 1 right parenthesis squared end fraction plus fraction numerator c over denominator left parenthesis x minus 1 right parenthesis cubed end fraction plus fraction numerator d over denominator left parenthesis x minus 1 right parenthesis to the power of 4 end fraction text then end text open square brackets table attributes columnalign left left columnspacing 1em end attributes row cell a b end cell row cell c d end cell end table close square brackets equals$

If $vertical line x vertical line less than 1 fifth$ , the coefficient of $x cubed$ in the expansion of $fraction numerator 1 over denominator left parenthesis 1 minus 5 x right parenthesis left parenthesis 1 minus 4 x right parenthesis end fraction$ is

If $vertical line x vertical line less than 1 fifth$ , the coefficient of $x cubed$ in the expansion of $fraction numerator 1 over denominator left parenthesis 1 minus 5 x right parenthesis left parenthesis 1 minus 4 x right parenthesis end fraction$ is

If $a subscript K equals fraction numerator 1 over denominator K left parenthesis K plus 1 right parenthesis end fraction$ for $K equals 1 comma 2 comma 3 horizontal ellipsis.. n$ then $open parentheses sum from K equals 1 to n of a subscript K close parentheses squared equals$

If $a subscript K equals fraction numerator 1 over denominator K left parenthesis K plus 1 right parenthesis end fraction$ for $K equals 1 comma 2 comma 3 horizontal ellipsis.. n$ then $open parentheses sum from K equals 1 to n of a subscript K close parentheses squared equals$

parallel

The number of partial fractions of $fraction numerator 2 over denominator x to the power of 4 plus x squared plus 1 end fraction$ is

The number of partial fractions of $fraction numerator 2 over denominator x to the power of 4 plus x squared plus 1 end fraction$ is

The number of partial fractions of $fraction numerator x cubed minus 3 x squared plus 3 x over denominator left parenthesis x minus 1 right parenthesis to the power of 5 end fraction$ is

The number of partial fractions of $fraction numerator x cubed minus 3 x squared plus 3 x over denominator left parenthesis x minus 1 right parenthesis to the power of 5 end fraction$ is

Coefficient of $x cubed y to the power of 4 z squared$ is $left parenthesis 2 x minus 3 y plus 4 z right parenthesis to the power of 9$ is

Coefficient of $x cubed y to the power of 4 z squared$ is $left parenthesis 2 x minus 3 y plus 4 z right parenthesis to the power of 9$ is

parallel

Coefficient of $x to the power of r$ is $1 plus left parenthesis 1 plus x right parenthesis plus left parenthesis 1 plus x right parenthesis squared plus$ $horizontal ellipsis plus left parenthesis 1 plus x right parenthesis to the power of n$ is

Coefficient of $x to the power of r$ is $1 plus left parenthesis 1 plus x right parenthesis plus left parenthesis 1 plus x right parenthesis squared plus$ $horizontal ellipsis plus left parenthesis 1 plus x right parenthesis to the power of n$ is

If a,b,c,d are consective binomial coefficients of $left parenthesis 1 plus x right parenthesis to the power of n$ then $fraction numerator a plus b over denominator a end fraction comma fraction numerator b plus c over denominator b end fraction comma fraction numerator c plus d over denominator c end fraction$ are is

If a,b,c,d are consective binomial coefficients of $left parenthesis 1 plus x right parenthesis to the power of n$ then $fraction numerator a plus b over denominator a end fraction comma fraction numerator b plus c over denominator b end fraction comma fraction numerator c plus d over denominator c end fraction$ are is

No of terms whose value depend on 'x' is $left parenthesis x squared minus 2 plus 1 divided by x squared right parenthesis to the power of n$ is

No of terms whose value depend on 'x' is $left parenthesis x squared minus 2 plus 1 divided by x squared right parenthesis to the power of n$ is

parallel

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