wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If f(x)=∣∣ ∣ ∣∣33x3x2+2a23x3x2+2a23x3+6a2x3x2+2a23x3+6a2x3x4+12a2x2+2a4∣∣ ∣ ∣∣, then

A
f(x)=0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
y=f(x) is a straight line parallel to x-axis
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
20f(x)dx=32a4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
none of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct options are
A f(x)=0
B y=f(x) is a straight line parallel to x-axis
∣ ∣ ∣33x3x2+2a23x3x2+2a23x3+6a2x3x2+2a23x3+6a2x3x4+12a2x2+2a4∣ ∣ ∣
Applying, R2=R2xR1,
=∣ ∣ ∣33x3x2+2a202a24a2x3x2+2a23x3+6a2x3x4+12a2x2+2a4∣ ∣ ∣
Applying, C3=C32xC2,
=∣ ∣ ∣33x2a23x202a203x2+2a23x3+6a2x2a43x4∣ ∣ ∣
Expanding by R2,
=2a2(6a49x44a4+9x4)=2a2(2a4)=4a6
So, f(x)=0
y=f(x)=4a6=constant, so, it will be parallel to x-axis

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Extrema
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon