Multiple choice

If b is the mean proportional between a and c. Then (a - b)3 : (b - c)3 will be equal to: यदि b, a और c का मध्यानुपाती हो, तो (a - b)3 : (b - c)3 बराबर होगा -

  1. a3/2 : c3/2

  2. b2 : c2

  3. a2 : c2

  4. a3 : c3
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

If b is mean proportional between a and c, then b^2 = ac. So b = sqrt(ac). Then (a-b)^3 : (b-c)^3 = (a-sqrt(ac))^3 : (sqrt(ac)-c)^3. This simplifies to a^(3/2) : c^(3/2).

Keep practicing — related questions