Determinants - Online Test

Q1. DELETE IT 
Answer : Option B
Explaination / Solution:





Q2. The only integral root of the equation det. 
Answer : Option D
Explaination / Solution:

The value of determinant is 0 if any two rows or column are identical and Clearly , y = 1 satisfies it. 

if we take common as 3 from C3   THEN CAnd C3 Becomes identical after puting y=1.


Q3. Solution set of the equation 
Answer : Option D
Explaination / Solution:

expanding along R1


Q4. Solution set of the equation 
Answer : Option B
Explaination / Solution:



Q5.  is equal to
Answer : Option A
Explaination / Solution:



Q6.
Answer : Option C
Explaination / Solution:



Q7.
Answer : Option C
Explaination / Solution:




Q8.   then D is equal to
Answer : Option D
Explaination / Solution:




Q9. One of the factors of 
Answer : Option D
Explaination / Solution:



 

Therefore, one of the factors of given determinants is (a + b + c +d ).


Q10.
Answer : Option A
Explaination / Solution: