Home
Class 12
MATHS
Which of the following are true (i) The...

Which of the following are true (i) The function `f(x) = cos x - 2 lambda x` is monotonically decreasing when `lambda lt 1/2`. (ii)The function `x^100 + sin x -1` is strictly increasing in[0,1] (iii) If a,b,c are is A.P then at least one root of the equation `3ax^2- 4bx + c = 0` is positive.

Promotional Banner

Similar Questions

Explore conceptually related problems

Function f(X) = cos x - 2 lambda x is monotonic decreasing when

The function f(x)=cos x - 2ax is monotonically decreasing when-

Function f(x)=cos x-2 lambda x is monotonic decreasing when (a) lambda>1/2(b)lambda 2

Function f(x)=cosx-2\ lambda\ x is monotonic decreasing when (a) lambda>1//2 (b) lambda 2

Function f(x)=|x|-|x-1| is monotonically increasing when (a) x 1 (c) x<1 (d) 0

Function f(x)=|x|-|x-1| is monotonically increasing when (a) x 1 (c) x<1 (d) 0 < x < 1

Function f(x)=|x|-|x-1| is monotonically increasing when (a) x 1 (c) x<1 (d) 0 < x < 1

Function f(x) = |x| - |x - 1| is monotonically increasing when a) x lt 0 b) x gt 1 c) x lt 1 d) 0 lt x lt 1

Function f(x)=|x|-|x-1| is monotonically increasing when (a) x 1 (c) x<1 (d) x in (0,1)

The function f(x) = (lambda sin x + 6 cos x)/(2 sin x + 3 cos x) monotonically increasing if