Question

" If x and y are in inverse Proportion, then (x + 1) and (y + 1) are also in inverse Proportion." Justify​

Answer 1

Answer:

If X andY are inverse proportion then ( constant) eg:let X=2 andY=3

XY =2x3=6 Now X+1=2+1=3and Y+1=3+1=4

Then,(X+1) (Y+1) 3x4 =12

( Not in inverse proportion )

Hence , ( X+1 ) and ( Y+1 ) connot be inverse proportion

Answer 2

False

If x and y are in inverse proportion, then xy = k (constant).

Let's assume x= 5 ,y = 2 and xy = 5 × 2= 6.

Now, x+1= 5+1=6 and y+1=2+1=3.

Then, (x+1)(y+1) = 6×3= 18 [not in inverse proportion] Hence, (x+ 1)and (y + 1) cannot be in inverse proportion.

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