If 2017 x-2017 - 2018 y-2018 - 2019 x-2019 -2015- then x x-2017 - y y-2018 - z z-2019 equals

The correct option is B 2018 We know that, ba+b=1 aa+b #160;using this xx+2017+yy+2018+zz+2019 =3 2017x+2017 2018y+2018 2019z+2019 = ...

You visited us 8 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Intersection of Sets

If 2017 x+2...

Question

If $\frac{2017}{x + 2017} + \frac{2018}{y + 2018} + \frac{2019}{x + 2019} = - 2015$ , then $\frac{x}{x + 2017} + \frac{y}{y + 2018} + \frac{z}{z + 2019}$ equals

2017

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2018

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

2019

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2016

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $2018$
We know that,
$\frac{b}{a + b} = 1 - \frac{a}{a + b}$

using this $\frac{x}{x + 2017} + \frac{y}{y + 2018} + \frac{z}{z + 2019}$

$= 3 - \frac{2017}{x + 2017} - \frac{2018}{y + 2018} - \frac{2019}{z + 2019}$

$= 3 - (- 2015)$

$= 2018$

Suggest Corrections

Similar questions

Q. If

\frac{2017}{x + 2017} + \frac{2018}{y + 2018} + \frac{2019}{z + 2019} = - 2015

, then

\frac{x}{x + 2017} + \frac{y}{y + 2018} + \frac{z}{z + 2019}

equals ?

The remainder when the determinant

∣ ∣ ∣ ∣ ∣ \begin{matrix} 2014^{2014} & 2015^{2015} & 2016^{2016} 2017^{2017} & 2018^{2018} & 2019^{2019} 2020^{2020} & 2021^{2021} & 2022^{2022} \end{matrix} ∣ ∣ ∣ ∣ ∣

is divided by

5

is.

The remainder when the determinant

$∣ ∣ ∣ ∣ ∣ \begin{matrix} 2014^{2014} & 2015^{2015} & 2016^{2016} 2017^{2017} & 2018^{2018} & 2019^{2019} 2020^{2020} & 2021^{2021} & 2022^{2022} \end{matrix} ∣ ∣ ∣ ∣ ∣$

is divided by 5 is.

Q. The remainder when the determinant

∣ ∣ ∣ ∣ ∣ \begin{matrix} 2014^{2014} & 2015^{2015} & 2016^{2016} 2017^{2017} & 2018^{2018} & 2019^{2019} 2020^{2020} & 2021^{2021} & 2022^{2022} \end{matrix} ∣ ∣ ∣ ∣ ∣

is divided by

5

Q. The population of rabbits over a duration in a zoo is tabulated as follows:
Year Population of Rabbit
(in thousand)

2015	3
2016	5
2017	6
2018	7
2019	8
2020	9

Choose the line graph that correctly depicts the data set.

Join BYJU'S Learning Program

If 2017x+2017+2018y+2018+2019x+2019=−2015, then xx+2017+yy+2018+zz+2019 equals

The correct option is B 2018We know that,ba+b=1−aa+b using this xx+2017+yy+2018+zz+2019=3−2017x+2017−2018y+2018−2019z+2019=3−(−2015)=2018

If $\frac{2017}{x + 2017} + \frac{2018}{y + 2018} + \frac{2019}{x + 2019} = - 2015$ , then $\frac{x}{x + 2017} + \frac{y}{y + 2018} + \frac{z}{z + 2019}$ equals

The correct option is B $2018$
We know that,
$\frac{b}{a + b} = 1 - \frac{a}{a + b}$

using this $\frac{x}{x + 2017} + \frac{y}{y + 2018} + \frac{z}{z + 2019}$

$= 3 - \frac{2017}{x + 2017} - \frac{2018}{y + 2018} - \frac{2019}{z + 2019}$

$= 3 - (- 2015)$

$= 2018$