C-12-Q069mediumsingle_mcq

For the system $ax - by = ab = bx - ay$ (Example 7), the value of $xy$ is —

a $\dfrac{a^2 b^2}{(a + b)^2}$
b $-\dfrac{a^2 b^2}{(a + b)^2}$
c $\dfrac{ab}{(a + b)^2}$
d $0$

ব্যাখ্যা

Since $x=\dfrac{ab}{a+b}$ and $y=-\dfrac{ab}{a+b}$ , their product is $xy=-\dfrac{ab}{a+b}\cdot\dfrac{ab}{a+b}=-\dfrac{a^2b^2}{(a+b)^2}$ . The negative sign comes from $x$ and $y$ having opposite signs.

এই অধ্যায়ের আরও প্রশ্ন

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Simple Simultaneous Equations in Two Variables — সব প্রশ্ন দেখুন (152টি) →

For the system $ax - by = ab = bx - ay$ (Example 7), the value of $xy$ is —

\dfrac{a^2 b^2}{(a + b)^2}

-\dfrac{a^2 b^2}{(a + b)^2}

\dfrac{ab}{(a + b)^2}

0

For the system ax−by=ab=bx−ayax - by = ab = bx - ayax−by=ab=bx−ay (Example 7), the value of xyxyxy is —

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

For the system ax−by=ab=bx−ayax - by = ab = bx - ayax−by=ab=bx−ay (Example 7), the value of xyxyxy is —

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

For the system $ax - by = ab = bx - ay$ (Example 7), the value of $xy$ is —

For the system $ax - by = ab = bx - ay$ (Example 7), the value of $xy$ is —