Home
Class 10
MATHS
If a : b = c : d, prove that : (6a + ...

If `a : b = c : d`, prove that :
`(6a + 7b) (3c - 4d) = (6c + 7d) (3a - 4b)`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • RATIO AND PROPORTION (INCLUDING PROPERTIES AND USES)

    ICSE|Exercise Exercise 7(D)|27 Videos
  • RATIO AND PROPORTION (INCLUDING PROPERTIES AND USES)

    ICSE|Exercise QUESTIONS|30 Videos
  • RATIO AND PROPORTION (INCLUDING PROPERTIES AND USES)

    ICSE|Exercise Exercise 7(B)|17 Videos
  • RATIO AND PROPORTION

    ICSE|Exercise MULTIPLE CHOICE QUESTION|61 Videos
  • REFLECTION

    ICSE|Exercise QUESTION|1 Videos

Similar Questions

Explore conceptually related problems

If a : b = c : d , prove that : (i) 5a + 7b : 5a - 7b = 5c + 7d : 5c - 7d . (ii) (9a + 13b) (9c - 13d) = (9c + 13d) (9a - 13b) . (iii) xa + yb : xc + yd = b : d

Given, (a)/(b) = (c)/(d) , prove that : (3a - 5b)/(3a + 5b) = (3c - 5d)/(3c + 5d)

If (7a + 8b)/( 7c + 8d) = (7a - 8b)/(7c - 8d), prove that : (i) a:b=c:d (ii) (4a - 5b)/(4c - 5d)= (3a + 4b)/(3c + 4d)

if a , b , c and d are in proportion, prove that : (i) (a-b)/(c-d)= sqrt((3a^(2) + 8b^(2))/(3c^(2) + 8d^(2))) (ii) ((5a^(2) + 12c^(2))/(5b^(2) + 12d^(2))) = sqrt((3a^(4) - 7c^(4))/(3b^(4) - 7d^(4)))

If (4a + 9b) (4c - 9d) = (4a - 9b) (4c + 9d) , prove that : a : b = c : d .

If (a + b + c + d) (a - b - c + d) = (a + b - c - d) (a - b + c - d) , prove that: a : b = c : d .

If (a - 2b - 3c + 4d)/(a + 2b - 3c - 4d) = (a - 2b + 3c - 4d)/(a + 2b + 3c + 4d), show that : 2ad = 3bc .

If (7a + 8b) (7c - 8d) = (7a - 8b) (7c + 8d) : prove that a : b = c : d .

If (7a + 8b)/( 7c + 8d) = (7a - 8b)/(7c - 8d), prove that : a:b= c:d

If 2a=3b=4c , then a : b : c= (a) 2:3:4 (b) 3:4:6 (c) 4:3:2 (d) 6:4:3