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If a, b, c and d are in proportion, then...

If a, b, c and d are in proportion, then show that `(a^(3)+3ab^(2))/(3a^(2)b+b^(3))=(c^(3)+3cd^(2))/(3c^(2)d+d^(3))`

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PEARSON IIT JEE FOUNDATION-RATIO, PROPORTION AND VARIATION-EXAMPLE
  1. Divide Rs 207 among three friends A,B and C in the ratio (1)/(6):(1)/(...

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  2. If A:B=2:3 and B:C=4:17, then find A:B:C

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  3. if A=2B and B=3C, then find A:C.

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  4. A question paper consist of questions, each carrying (1)/(2) mark, 1 m...

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  5. Ther atio of marks obtained by Rajesh, rakesh annd Ramesh in an exam i...

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  6. if (x)/(a^(2)-b^(2))=(y)/(b^(2)-c^(2))=(z)/(c^(2)-a^(2)), then prove t...

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  7. If (x)/(a)=(y)/(b)=(z)/(c), then prove that each ratio is equal to ((3...

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  8. If x:y:z=3:4:5 and x^(3)+y^(3)+z^(3)=1728, then find (x-y+z).

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  9. the incomes of Rajesh and Mahesh are in the ratio 7:9 and their saving...

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  10. if x:y=3:2 then find (2x+y)/(4x-3y)

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  11. Verify whether 1, 5, 9 and 45 are in proportion.

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  12. Determine the fourth proportional to the numbers 5,6 and 8.

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  13. Convert the ratio 6 : 24 is simplest form.

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  14. If 6 men can do a piece of work in 8 days, then find the number of day...

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  15. If in a family consumption of rice is 60 kg for 24 days, then find the...

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  16. If (3a+5b):(3a-5b): :(3c+5d):(3c-5d), then show that a,b,c and d are i...

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  17. if (2a+3b+4c+5d)/(2a-3b-4c-5d)=(2a-3b+4c-5d)/(2a-3b-4c+5d), then show ...

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  18. If a, b, c and d are in proportion, then show that (a^(3)+3ab^(2))/(3a...

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  19. 2 men each working 5 hour per day can finish a job in 12 days. How lo...

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  20. Given that a varies directly with the cube of b. When a is 3,b is also...

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