What must be added to x-y to make it y-x -

The correct option is B y^2 x^2/xy Let the required number be a which has to be added to x / y to get y / x . ...

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Standard XII

Mathematics

Definition of Function

What must be ...

Question

What must be added to $\frac{x}{y}$ to make it $\frac{y}{x}$ ?

\frac{y - x}{y^{2} x^{2}}

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\frac{y^{2} - x^{2}}{x y}

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\frac{x y}{x + y}

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\frac{x^{2} y^{2}}{x^{2} + y^{2}}

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Solution

The correct option is B $\frac{y^{2} - x^{2}}{x y}$
$L e t t h e r e q u i r e d n u m b e r b e a w h i c h h a s t o b e a d d e d t o \frac{x}{y} t o g e t \frac{y}{x} . T h e n, b y t h e g i v e n h y p o t h e s i s, w e g e t \frac{x}{y} + a = \frac{y}{x} ⟹ a = \frac{y}{x} - \frac{x}{y} = \frac{y^{2} - x^{2}}{x y} . A n s - O p t i o n B .$

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Similar questions

Q. What must be added to

(x^{2} + x y - y^{2})

to get

x y

Q. Find what the following equations become when the origin is shifted to the point (1, 1).
(i) x² + xy − 3y² − y + 2 = 0
(ii) xy − y² − x + y = 0
(iii) xy − x − y + 1 = 0
(iv) x² − y² − 2x + 2y = 0

$Find what the following equations become when the origin is shifted to the point(1,1) ? (i) x^{2} + x y - 3 y - y + 2 = 0 (i i) x^{2} - y^{2} - 2 x + 2 y = 0 (i i i) x y - x - y + 1 = 0 (i v) x y - y^{2} - x + y = 0$

Q. If

x^{2} + y^{2} - x y = 3

and

y - x = 1

then find

\frac{x y}{x^{2} + y^{2}}

Q. Simplify:

\frac{x^{2} - x y}{y^{2} - x y}

divided by

\frac{x}{y}

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What must be added to xy to make it yx ?

The correct option is B y2−x2xyLettherequirednumberbeawhichhastobeaddedtoxytogetyx.Then,bythegivenhypothesis,wegetxy+a=yx⟹a=yx−xy=y2−x2xy.Ans−OptionB.

What must be added to $\frac{x}{y}$ to make it $\frac{y}{x}$ ?