IIT-JEE Exam


G=1-SINX^3

Which of the following is true ?
(A) g is increasing on (1, )
(B) g is decreasing on (1, )
(C) g is increasing on (1, 2) and decreasing on (2, )
(D) g is decreasing on (1, 2) and increasing on (2, )

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IIT-JEE Other Question

Let a1, a2, a3,.... be in harmonic progression with a1 = 5 and a20 = 25. The least positive integer n for which an < 0 is
option
(A) 22
(B) 23
(C) 24
(D) 25
Consider the statements :
P : There exists some x R such that f(x) + 2x = 2(1 + x2)
Q : There exists some x R such that 2f(x) + 1 = 2x(1 + x)
Then
(A) both P and Q are true
(B) P is true and Q is false
(C) P is false and Q is true
(D) both P and Q are false