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Maths-

General

Easy

Question

The graph (y x) against $blank left parenthesis y plus x comma y minus x right parenthesis$ is as shown. Which one of the following shows the graph of y against ?

The correct answer is:

$fraction numerator y minus x over denominator y plus x end fraction equals k left parenthesis k greater than left parenthesis a right parenthesis blank semicolon y minus x equals k left parenthesis y plus x right parenthesis$
$y left parenthesis 1 minus k right parenthesis equals x left parenthesis 1 plus k right parenthesis$
$y equals open parentheses fraction numerator 1 plus k over denominator 1 minus k end fraction close parentheses x text where end text fraction numerator 1 plus k over denominator 1 minus k end fraction less than negative 1$

Related Questions to study

For each x in [0, 1] define f(x) = $blank open curly brackets table row cell 2 x end cell cell comma text if end text 0 less or equal than x less or equal than fraction numerator 1 over denominator 2 end fraction end cell row cell 2 minus 2 x end cell cell comma text if end text fraction numerator 1 over denominator 2 end fraction less than x less or equal than 1 end cell end table close$ Let f^((b)(x)=f(f(x)), f^(n+(a)(x) = f⁽ⁿ⁾(f(x)) for each integer n 2. For how many values of x is [0, 1] is f⁽²⁰⁰⁸⁾ (x) = 1/2?

For each x in [0, 1] define f(x) = $blank open curly brackets table row cell 2 x end cell cell comma text if end text 0 less or equal than x less or equal than fraction numerator 1 over denominator 2 end fraction end cell row cell 2 minus 2 x end cell cell comma text if end text fraction numerator 1 over denominator 2 end fraction less than x less or equal than 1 end cell end table close$ Let f^((b)(x)=f(f(x)), f^(n+(a)(x) = f⁽ⁿ⁾(f(x)) for each integer n 2. For how many values of x is [0, 1] is f⁽²⁰⁰⁸⁾ (x) = 1/2?

If $blank alpha text end text$ and $text end text beta$ are the roots of the equation $blank a x to the power of 2 end exponent plus b x plus c equals 0$ then the quadratic equation whose roots are $blank fraction numerator alpha over denominator 1 plus alpha end fraction text and end text fraction numerator beta over denominator 1 plus beta end fraction text is end text$

If $blank alpha text end text$ and $text end text beta$ are the roots of the equation $blank a x to the power of 2 end exponent plus b x plus c equals 0$ then the quadratic equation whose roots are $blank fraction numerator alpha over denominator 1 plus alpha end fraction text and end text fraction numerator beta over denominator 1 plus beta end fraction text is end text$

The probability of getting at least 2 heads, when an unbiased coin is
tossed 6 times is

The probability of getting at least 2 heads, when an unbiased coin is
tossed 6 times is

parallel

$not stretchy integral subscript blank superscript blank fraction numerator 2 x plus blank s i n blank 2 x over denominator 1 plus blank c o s blank 2 x end fraction d x equals$

$not stretchy integral subscript blank superscript blank fraction numerator 2 x plus blank s i n blank 2 x over denominator 1 plus blank c o s blank 2 x end fraction d x equals$

$not stretchy integral subscript blank superscript blank e to the power of x end exponent fraction numerator left parenthesis 1 minus x right parenthesis to the power of 2 end exponent over denominator left parenthesis 1 plus x to the power of 2 end exponent right parenthesis to the power of 2 end exponent end fraction d x equals$

$not stretchy integral subscript blank superscript blank e to the power of x end exponent fraction numerator left parenthesis 1 minus x right parenthesis to the power of 2 end exponent over denominator left parenthesis 1 plus x to the power of 2 end exponent right parenthesis to the power of 2 end exponent end fraction d x equals$

Most stable carbocation is

Most stable carbocation is

Chemistry-General

parallel

Inductive effect involves

Inductive effect involves

Chemistry-General

$not stretchy integral subscript blank superscript blank x C a n to the power of negative 1 end exponent x d x equals$

$not stretchy integral subscript blank superscript blank x C a n to the power of negative 1 end exponent x d x equals$

If the roots of the equation $blank x to the power of 2 end exponent minus 2 a x plus a to the power of 2 end exponent plus a minus 3 equals 0$ are less than 3, then

If the roots of the equation $blank x to the power of 2 end exponent minus 2 a x plus a to the power of 2 end exponent plus a minus 3 equals 0$ are less than 3, then

parallel

If $x to the power of 2 end exponent minus 4 x plus l o g subscript 1 divided by 2 end subscript invisible function application a equals 0 text end text$ does not have two distinct real roots, then maximum value of a is

If $x to the power of 2 end exponent minus 4 x plus l o g subscript 1 divided by 2 end subscript invisible function application a equals 0 text end text$ does not have two distinct real roots, then maximum value of a is

If A={1, 2, 3, 4}, then which of the following are functions from A to itself?

If A={1, 2, 3, 4}, then which of the following are functions from A to itself?

Let f : R R and g : R R be two oneone and onto functions such that they are the mirror images of each other about the line y = a. If h(x) = f(x) + g(x), then h(x) is

Let f : R R and g : R R be two oneone and onto functions such that they are the mirror images of each other about the line y = a. If h(x) = f(x) + g(x), then h(x) is

parallel

Let $f left parenthesis x right parenthesis equals a x plus b$ where c is a variable coefficient and $x greater than fraction numerator 7 over denominator 6 end fraction$ The value of c such that f(x) touches $f to the power of negative 1 end exponent$ (x), is

Let $f left parenthesis x right parenthesis equals a x plus b$ where c is a variable coefficient and $x greater than fraction numerator 7 over denominator 6 end fraction$ The value of c such that f(x) touches $f to the power of negative 1 end exponent$ (x), is

The domain of function, satisfying $f left parenthesis x right parenthesis plus f open parentheses x to the power of negative 1 end exponent close parentheses equals fraction numerator x to the power of 3 end exponent plus 1 over denominator x end fraction$

The domain of function, satisfying $f left parenthesis x right parenthesis plus f open parentheses x to the power of negative 1 end exponent close parentheses equals fraction numerator x to the power of 3 end exponent plus 1 over denominator x end fraction$

The range of the function $f left parenthesis x right parenthesis equals square root of x minus 1 end root plus 2 square root of 3 minus x end root$ is

The range of the function $f left parenthesis x right parenthesis equals square root of x minus 1 end root plus 2 square root of 3 minus x end root$ is

parallel

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