NCERT Class 12-Mathematics: Exemplar Chapter –4 Determinants Part 4
Doorsteptutor material for IMO-Level-2 Class-8 is prepared by world's top subject experts: fully solved questions with step-by-step explanation- practice your way to success.
Objective Type Questions
Choose the Correct Answer from the Given Four Options in Each of the Example 10 and 11
Question 10:
Let
(A)
(B)
(C)
(D) None of these
Answer:
(C) Is the correct answer
Since
Question 11:
If , then the determinant lies in the interval.
(A)
(B)
(C)
(D)
Answer:
The correct choice is A. Indeed applying , we get
Expanding along , we have
Hence
Fill in the Blanks in Each of the Examples 12 to 14
Question 12:
If A, B, C are the angles of a triangle, then
Answer:
Answer is 0. Apply .
Question 13:
The determinant is equal to ……….
Answer:
Answer is .Taking common from and and applying , we get the desired result.
Question 14:
The value of the determinant …..
Answer:
. Apply.
State Whether the Statements in the Examples 15 to 18 is True or False
Question 15:
The determinant is independent of only.
Answer:
True. Apply , and expand
Question 16:
The value of
Answer: True
Question 17:
If then
Answer: False.
Question 18:
If
Answer: True