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

Assertion :Consider the determinant f(x)=∣∣ ∣ ∣∣0x2−ax3−bx2+a0x2+cx4+bx−c0∣∣ ∣ ∣∣
f(x)=0 has one root x=0. Reason: The value of skew-symmetric determinant of odd-order is always zero.

A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
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 correct but Reason is incorrect
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
Assertion is incorrect 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 A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
f(x)=∣ ∣ ∣0x2ax3bx2+a0x2+cx4+bxc0∣ ∣ ∣
Now, for assertion, we put x=0
f(x)=∣ ∣0aba0cbc0∣ ∣
i.e. determinant of skew-symmmetric matrix of odd order.
f(x)=0
Reason is also correct. We know that determinant of skew-symmetric matrix of odd order is 0.
Hence, reason is correct explanation for the assertion

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Introduction
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon