If f(x)=33x3x2+2a23x3x2+2a23x3+6a2x3x2+2a23x3+6a2x3x4+12a2x2+2a4, then
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a
f'(x) = 0
b
y = f(x) is a straight line parallel to x-axis
c
∫02 f(x)dx=32a4
d
none of these
answer is A.
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Detailed Solution
Applying C3→C3−xC2,C2→C2−xC1, we obtainΔ(x)=302a23x2a24a2x3x2+2a24a2x6a2x2+2a4 =4a43013x12x3x2+2a22x3x2+a2Applying C3→C3−xC2, we getΔ(x)=4a43013x1x3x2+2a22xx2+2a2Applying C1→C1−3C3, we getΔ(x)=4a400101x−4a22xx2+2a2=16a6