Solution for the question - for any two sets a and b, if a nn x=b nn x=phi and a uu x=b uu x forsome set x , then none of theseb-a=a nn b '/> a=b '/> a-b=a nn b '/>

Maths-

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Easy

Question

For any two sets A and B, if $A intersection X equals B intersection X equals ϕ$ and $A union X equals B union X$ for some set X , then

$A - B = A \cap B$
$A = B$
$B - A = A \cap B$
None of these

The correct answer is: $A equals B$

Given, $A intersection X equals B intersection X equals ϕ$
$rightwards double arrow$ A and X,B and X are disjoint sets.
$text Also, end text A union X equals B union X not stretchy rightwards double arrow A equals B$

If is a set with 10 elements and $A equals left curly bracket left parenthesis x comma y right parenthesis colon x comma y element of S comma x not equal to y right curly bracket$ , then the number of elements in A is

maths-General

General

maths-

Let A and B be two sets, then $left parenthesis A union B right parenthesis to the power of straight prime union open parentheses A to the power of straight prime intersection B close parentheses$ is equal to

maths-General

General

maths-

If $sec invisible function application open parentheses fraction numerator x squared minus y squared over denominator x squared plus y squared end fraction close parentheses equals e to the power of a comma text then end text fraction numerator d y over denominator d x end fraction$ is equal to

maths-General

General

maths-

If $f left parenthesis x right parenthesis$ has a derivative at $x equals a text , then end text lim for x not stretchy rightwards arrow a of fraction numerator x f left parenthesis a right parenthesis minus a f left parenthesis x right parenthesis over denominator x minus a end fraction$ is equal to

maths-General

General

maths-

The value of $fraction numerator d over denominator d x end fraction open square brackets open parentheses fraction numerator tan squared invisible function application 2 x minus tan squared invisible function application x over denominator 1 minus tan squared invisible function application 2 x tan squared invisible function application x end fraction close parentheses cot invisible function application 3 x close square brackets$ is

maths-General

General

maths-

The derivative of $e to the power of x cubed end exponent$ with respect to log is

maths-General

General

maths-

The derivative of $sin to the power of negative 1 end exponent invisible function application open parentheses fraction numerator 2 x over denominator 1 plus x squared end fraction close parentheses$ with respect to $cos to the power of negative 1 end exponent invisible function application open parentheses fraction numerator 1 minus x squared over denominator 1 plus x squared end fraction close parentheses$ is

maths-General

General

maths-

The rate of change of $square root of open parentheses x squared plus 16 close parentheses end root$ with respect to $fraction numerator x over denominator x minus 1 end fraction$ at $x equals 3$ is

maths-General

General

maths-

If $x equals a cos to the power of 4 invisible function application theta comma y equals a sin to the power of 4 invisible function application theta$ then $dy over dx text at end text theta equals fraction numerator 3 pi over denominator 4 end fraction$ is

maths-General

General

Maths-

If a₁, a₂, a₃, ........., a_n are positive real numbers whose product is a fixed number c, then the minimum value of a₁ + a₂ + a₃ + .... + a_{n – 1} + 2a_n is

In this question, we have to find that minimum value of a1 + a2 + a3 + …… + an-1 + 2an. Remember always the inequality of A.M and G.M. Always A.M ≥ G.M.

If a₁, a₂, a₃, ........., a_n are positive real numbers whose product is a fixed number c, then the minimum value of a₁ + a₂ + a₃ + .... + a_{n – 1} + 2a_n is

Maths-General

In this question, we have to find that minimum value of a1 + a2 + a3 + …… + an-1 + 2an. Remember always the inequality of A.M and G.M. Always A.M ≥ G.M.

General

maths-

The domain of the function $f open parentheses x close parentheses equals fraction numerator cos to the power of negative 1 end exponent invisible function application x over denominator left square bracket x right square bracket end fraction$ is

maths-General

General

maths-

Range of the function $f open parentheses x close parentheses equals fraction numerator x to the power of 2 end exponent over denominator x to the power of 2 end exponent plus 1 end fraction$ is

maths-General

General

maths-

The domain of the function $f open parentheses x close parentheses equals fraction numerator sin to the power of 1 end exponent invisible function application left parenthesis x minus 3 right parenthesis over denominator square root of 9 minus x to the power of 2 end exponent end root end fraction$ is

maths-General

General

maths-

Let $f open parentheses x close parentheses equals fraction numerator 1 over denominator 2 end fraction minus tan invisible function application open parentheses fraction numerator pi x over denominator 2 end fraction close parentheses$ , $negative 1 less than x less than 1$ and $g open parentheses x close parentheses equals square root of 3 plus 4 x minus 4 x to the power of 2 end exponent end root$ , then dom $left parenthesis f plus g right parenthesis$ is given by

maths-General

General

physics-

In the adjacent diagram, $C P$ represents a wavefront and $A O$ and $B P$ , the corresponding two rays. Find the condition on $theta$ for constructive interference at P between the ray $B P$ and reflected ray $O P$

physics-General

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For any two sets A and B, if and for some set X , then

None of these

The correct answer is:

Given, A and X,B and X are disjoint sets.

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If is a set with 10 elements and , then the number of elements in A is

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If is equal to

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The derivative of with respect to log is

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If then is

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In the adjacent diagram, represents a wavefront and and , the corresponding two rays. Find the condition on for constructive interference at P between the ray and reflected ray

In the adjacent diagram, represents a wavefront and and , the corresponding two rays. Find the condition on for constructive interference at P between the ray and reflected ray

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For any two sets A and B, if $A intersection X equals B intersection X equals ϕ$ and $A union X equals B union X$ for some set X , then

$A - B = A \cap B$
$A = B$
$B - A = A \cap B$
None of these

The correct answer is: $A equals B$

Given, $A intersection X equals B intersection X equals ϕ$
$rightwards double arrow$ A and X,B and X are disjoint sets.
$text Also, end text A union X equals B union X not stretchy rightwards double arrow A equals B$

If is a set with 10 elements and $A equals left curly bracket left parenthesis x comma y right parenthesis colon x comma y element of S comma x not equal to y right curly bracket$ , then the number of elements in A is

If is a set with 10 elements and $A equals left curly bracket left parenthesis x comma y right parenthesis colon x comma y element of S comma x not equal to y right curly bracket$ , then the number of elements in A is

Let A and B be two sets, then $left parenthesis A union B right parenthesis to the power of straight prime union open parentheses A to the power of straight prime intersection B close parentheses$ is equal to

Let A and B be two sets, then $left parenthesis A union B right parenthesis to the power of straight prime union open parentheses A to the power of straight prime intersection B close parentheses$ is equal to

If $sec invisible function application open parentheses fraction numerator x squared minus y squared over denominator x squared plus y squared end fraction close parentheses equals e to the power of a comma text then end text fraction numerator d y over denominator d x end fraction$ is equal to

If $sec invisible function application open parentheses fraction numerator x squared minus y squared over denominator x squared plus y squared end fraction close parentheses equals e to the power of a comma text then end text fraction numerator d y over denominator d x end fraction$ is equal to

The derivative of $e to the power of x cubed end exponent$ with respect to log is

The derivative of $e to the power of x cubed end exponent$ with respect to log is

The rate of change of $square root of open parentheses x squared plus 16 close parentheses end root$ with respect to $fraction numerator x over denominator x minus 1 end fraction$ at $x equals 3$ is

The rate of change of $square root of open parentheses x squared plus 16 close parentheses end root$ with respect to $fraction numerator x over denominator x minus 1 end fraction$ at $x equals 3$ is

If $x equals a cos to the power of 4 invisible function application theta comma y equals a sin to the power of 4 invisible function application theta$ then $dy over dx text at end text theta equals fraction numerator 3 pi over denominator 4 end fraction$ is

If $x equals a cos to the power of 4 invisible function application theta comma y equals a sin to the power of 4 invisible function application theta$ then $dy over dx text at end text theta equals fraction numerator 3 pi over denominator 4 end fraction$ is

If a₁, a₂, a₃, ........., a_n are positive real numbers whose product is a fixed number c, then the minimum value of a₁ + a₂ + a₃ + .... + a_{n – 1} + 2a_n is

If a₁, a₂, a₃, ........., a_n are positive real numbers whose product is a fixed number c, then the minimum value of a₁ + a₂ + a₃ + .... + a_{n – 1} + 2a_n is

The domain of the function $f open parentheses x close parentheses equals fraction numerator cos to the power of negative 1 end exponent invisible function application x over denominator left square bracket x right square bracket end fraction$ is

The domain of the function $f open parentheses x close parentheses equals fraction numerator cos to the power of negative 1 end exponent invisible function application x over denominator left square bracket x right square bracket end fraction$ is

Range of the function $f open parentheses x close parentheses equals fraction numerator x to the power of 2 end exponent over denominator x to the power of 2 end exponent plus 1 end fraction$ is

Range of the function $f open parentheses x close parentheses equals fraction numerator x to the power of 2 end exponent over denominator x to the power of 2 end exponent plus 1 end fraction$ is

In the adjacent diagram, $C P$ represents a wavefront and $A O$ and $B P$ , the corresponding two rays. Find the condition on $theta$ for constructive interference at P between the ray $B P$ and reflected ray $O P$

In the adjacent diagram, $C P$ represents a wavefront and $A O$ and $B P$ , the corresponding two rays. Find the condition on $theta$ for constructive interference at P between the ray $B P$ and reflected ray $O P$