Question

if x and y are in direct proportion then which of the following is correct
1) x-y constant
2)x+y
3)xy
4)x/y​

Answer 1

Answer:

Step-by-step explanation:

When two quantities x and y are  increase or decrease together in such a manner that the ratio of  their corresponding values remains constant we said that  two quantities are in direct proportion.

Therefore,

$\frac{x}{y}=k\text{ (Constant)}$

Answer 2

Given : x and y are in direct proportion

To find : which of the following is correct

1) x-y constant

2)x+y

3)xy

4)x/y​

Solution:

if x and y are in direct proportion then they are known as directly proportional

x ∝ y

x = ky

where k is the constant of proportionality or constant of variation.

=> x/y = k

Hence x/y is constant

so option 4) is correct   x/y

Additional Info:

Direct variation if a variable increases then other variable also increases with a constant factor   y = kx

inverse variation if a variable increases then other variable decreases with a  constant factor  xy = k

Joint variation is a relationship between atleast three variables, where one variable varies directly with all other variables.

y = kxz

Combined Variation  is a relationship between three or more variables where it is in direct variation with few variable and in inverse  variation with other variable  y = kx/z

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