ICSE-VIII-Mathematics

10: Direct and Inverse Variations Class 8 Maths

with Solutions - page 2
  • #1
    Check whether x and y vary inversely or not. (i)
    (ii)
    (iii)
    (i)
    (ii)
    (iii)
    Ans : x and y are inversely proportional.
    Then xy are equal. (i) xy = 4 × 6 = 24
    xy = 3 × 8 = 24
    xy = 12 × 2 = 24
    xy = 1 × 24 = 24
    xy in each case is equal.
    x and y are inversely proportional (ii) xy = 30 × 60 = 1800
    xy= 120 × 30 = 3600
    xy = 60 × 30= 1800
    xy = 24 × 75 = 1800
    xy in each case is not equal.
    x and y are not inversely proportional. (iii) xy = 10 × 90 = 900
    = 30 × 30 = 900
    = 60 × 20 = 1200
    = 10 × 90 = 900
    xy in each case is not equal.
    x and y are not inversely proportional. (i) xy = 4 × 6 = 24
    xy = 3 × 8 = 24
    xy = 12 × 2 = 24
    xy = 1 × 24 = 24
    xy in each case is equal.
    x and y are inversely proportional (ii) xy = 30 × 60 = 1800
    xy= 120 × 30 = 3600
    xy = 60 × 30= 1800
    xy = 24 × 75 = 1800
    xy in each case is not equal.
    x and y are not inversely proportional. (iii) xy = 10 × 90 = 900
    = 30 × 30 = 900
    = 60 × 20 = 1200
    = 10 × 90 = 900
    xy in each case is not equal.
    x and y are not inversely proportional.
  • #1-i
    Ans : xy = 4 × 6 = 24
    xy = 3 × 8 = 24
    xy = 12 × 2 = 24
    xy = 1 × 24 = 24
    xy in each case is equal.
    x and y are inversely proportional
  • #1-ii
    Ans : xy = 30 × 60 = 1800
    xy= 120 × 30 = 3600
    xy = 60 × 30= 1800
    xy = 24 × 75 = 1800
    xy in each case is not equal.
    x and y are not inversely proportional.
  • #1-iii
    Ans : xy = 10 × 90 = 900
    = 30 × 30 = 900
    = 60 × 20 = 1200
    = 10 × 90 = 900
    xy in each case is not equal.
    x and y are not inversely proportional.