11P2 = 0
P1 = 1
f(x) = x3 + x2 + kx + 4 is increasing function and the least positive integral value of k is P1.
If the angle between y=\left[\sqrt{1-sin^2x}+\sqrt{1-cos^2x} \right] (where [] represents greatest integer function ) and X- axis is P2 radian , where 0 ≤ P2 ≤ pi , then
P1 + P2 = ?
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4 Answers
106f'(x) = 3x2 + 2x+ k
as f(x) is increasing,
D < 0 => 4-12k<0
=> k > 1/3
so least positive integral value of k = 1 = P1
y= [lsinxl+lcosxl] = 1
so angle of y=1 with x-axis = 0 = P2
so P1+P2 = 1
