Question
If b is the mean proportion to a and c with a common
ratio∛(2/3) , then (a – b)3 : (b – c)3 is:Solution
b = √ac Then, (a - b)3 ∶ (b - c)3 = (a - √ac)3 ∶ (√ac - c)3 ⇒ [√a(√a - √c)]3 ∶ [√c(√a - √c]3 ⇒ (√a/√c)3 We know that, a × (common ratio)2 = c Or, (√2/√3)2/3 = c/a Then, (√a/√c)3 = [(√3/√2)2/3]3 ⇒ 3 ∶ 2 ∴ The required solution is 3 ∶ 2
Mohiniyattam is associated with which of the following traditional dance styles?
What has been abolished under Article 17 of the Constitution of India by declaring its practice a legal offence?
Which one of the following schemes is not a Social Security Scheme under the Unorganised Workers' Social Security Act, 2008?
Consider the following statements:
1.The Eighth Schedule of the Indian Constitution lists 22 languages recognized as scheduled languages of India...
Disputes between two or more states come under the ________________ of the Supreme Court.
The government of India has decided to rename the Ayushman Bharat-Health and Wellness Centers as ______ and the Union Health Ministry has sent a letter ...
Which of the following is NOT a peak of the Himalayas?
In December 2021, Aanchal Thakur was in news for winning a bronze medal at an international event. Which sport is she associated with?
Which of the following is one of the main mineral constituents of the continental mass of the earth?
- Who is the secretary general of United Nations?
Relevant for Exams:
