Maths-

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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.

Related Questions to study

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

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

Let A and B be two sets, then is equal to

Let A and B be two sets, then is equal to

If is equal to

If is equal to

If has a derivative at is equal to

If has a derivative at is equal to

The value of is

The value of is

The derivative of with respect to log is

The derivative of with respect to log is

The derivative of with respect to is

The derivative of with respect to is

The rate of change of with respect to at is

The rate of change of with respect to at is

If then is

If then is

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

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

The domain of the function is

The domain of the function is

Range of the function is

Range of the function is

The domain of the function is

The domain of the function is

Let , and , then dom is given by

Let , and , then dom is given by

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 $O P$