Mathematics
Two irrational numbers √6 and √5 . Statement 1: The mean proportion of and is √6 and √5 is (√6 + √5) / 2. Statement 2: The mean proportion of two positive real numbers x and y is √(x × y). 1. Both the statements are true. 2. Both the statements are false. 3. Statement 1 is true, and statement 2 is false. 4. Statement 1 is false, and statement 2 is true.
Related Questions
Numbers a, b and c are in continued proportion.
Statement 1: (a + b + c)(a - b + c) = a2 + b2 + c2.
Statement 2: b2 = ac and (a + b + c)(a - b + c) = (a + c)2 - b2
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
If a : b = 3 : 5, find :
(10a + 3b) : (5a + 2b)