Which of the following statements is/are true A) If (4x + 3y)/ (4x – 3y) = 5/4, then (x2 + y2)/(x2 – y2) = 729/16 B) If 9x1/3 = 72, then x2 – 728 = 1728000 ?

Only A
Only B
Both A and B
Neither A nor B

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 3 : Both A and B

⇒ (4x + 3y)/ (4x – 3y) = 5/4,

⇒ 4x/3y = (5 + 4)/ (5 – 4) = 9/1 (Dividendo and componendo)

⇒ x/y = 27/4

⇒ x²/y² = 729/16[ height="22" src="file:///C:/Users/UMESHK~1/AppData/Local/Temp/msohtmlclip1/01/clip_image002.png" width="4">

⇒ x^1/3 = 12

⇒ x = (12)³ = 1728

⇒ x² – 728x

⇒ (x – 728)

⇒ 1728 (1728 – 728)

⇒ 1728000

Hence option 3 is correct.

4 views Answered 2022-09-04 04:29

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