CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

Assertion :Let f(x)=∣ ∣0cosxsinxsinx0cosxcosxsinx0∣ ∣2
If sin2x=1 then f(x)=2/3 Reason: f(x)=0 if sinx=cosx

A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
Assertion is incorrect but Reason is correct
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
Assertion is correct but Reason is correct
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C Assertion is incorrect but Reason is correct
Multiplication of two determinants leads us
f(x)=∣ ∣1yyy1yyy1∣ ∣
where y=sinxcosx
Using C1C1C2,C2C2+C3 we get
f(x)=(1+y)2∣ ∣10y11y011∣ ∣=(1+y)2∣ ∣10y012y011∣ ∣
(1+y)2(12y)
when sin2x=1,y=1/2 and f(x)=0
when sinx=cosx,12y=12sin2x=cos2x=0
f(x)=0

flag
Suggest Corrections
thumbs-up
0
mid-banner-image
mid-banner-image
Join BYJU'S Learning Program
Select...
similar_icon
Related Videos
thumbnail
lock
Adaptive Q1
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
Select...