The function `f(x)=(a s i n x+bcosx)/(c s i n x+dcosx)` is decreasing, if (i) `ad-bc gt 0` (ii) `ad-bc lt 0` (iii) `ab-dc gt 0` (iii) `ab-dc lt 0`

The function f(x)=(a sin x+b cos x)/(c sin x+d cos x) is decreasing,if (i) ad-bc>0 (ii) ad-bc 0 (ii) ab-dc<0

Find the intervals in which function f(x) = sin x-cos x, 0 lt x lt 2pi is (i) increasing, (ii) decreasing.

Find the intervals in which function f(x) = sin x-cos x, 0 lt x lt 2pi is (i) increasing, (ii) decreasing.

Find the intervals in which function f(x) = sin x-cos x, 0 lt x lt 2pi is (i) increasing, (ii) decreasing.

If z =x +iy lies in the third quadrant then (barz)/(z) also lies in third quadrant if (i) x gt y gt 0 (ii) x lt y lt 0 (iii) y lt x lt 0 (iv) y gt x gt 0

Expalin the state of chemical reactions when : (i) DeltaG =0 (ii) DeltaG lt 0 and (iii) DeltaG gt 0

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

If the function f (x) = {{:(3,x lt 0),(12, x gt 0):} then lim_(x to 0) f (x) =

If the function f (x) = {{:(3,x lt 0),(12, x gt 0):} then lim_(x to 0) f (x) =