Let a,b,c be three positive real numbers which are in HP. Statement 1: a+b 2a-b + c+b 2c-b 4. Statement 2: If x>0, then x+ 1x 4.

JEE Main Mathematics question

Let be three positive real numbers which are in HP. Statement 1: . Statement 2: If , then .

(A)Assertion is True, Reason is True; Reason is correct explanation for Assertion
(B)Assertion is True, Reason is True; Reason is not correct explanation for Assertion
(C)Assertion is True, Reason is FalseCorrect
(D)Assertion is False, Reason is True

Answer: (C)

Since , and , so ; similarly . The sum is

Create a free account to read the complete working, and practise questions like this in a timed test.

Question ID VK-021712