NCERT Solutions, Determinants, Part -2, Class 12, Maths Notes - Class 12

Class 12: NCERT Solutions, Determinants, Part -2, Class 12, Maths Notes - Class 12

The document NCERT Solutions, Determinants, Part -2, Class 12, Maths Notes - Class 12 is a part of Class 12 category.
All you need of Class 12 at this link: Class 12

Determinants

Exercise 4.2

Question 1: Using the property of determinants and without expanding, prove that:

Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)

Answer

NCERT Solutions, Determinants, Part -2, Class 12, Maths Notes - Class 12

NCERT Solutions, Determinants, Part -2, Class 12, Maths Notes - Class 12

= 0+0 = 0

 

Question 2: Using the property of determinants and without expanding, prove that:

Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)


Answer
Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)
Here, the two rows R1 and R3 are identical.
Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A) Δ = 0.


Question 3: Using the property of determinants and without expanding, prove that:

Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)


Answer

Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)


Question 4: Using the property of determinants and without expanding, prove that:

Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)
 

Answer
Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)


Question 5:
Using the property of determinants and without expanding, prove that:

Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)


Answer
Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)
Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)
Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)
Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)
Hence, the given result is proved.


Question 6: By using properties of determinants, show that:

Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)
 

Answer
Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)

Question 7: By using properties of determinants, show that:

Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)


Answer

NCERT Solutions, Determinants, Part -2, Class 12, Maths Notes - Class 12

NCERT Solutions, Determinants, Part -2, Class 12, Maths Notes - Class 12

NCERT Solutions, Determinants, Part -2, Class 12, Maths Notes - Class 12

NCERT Solutions, Determinants, Part -2, Class 12, Maths Notes - Class 12

NCERT Solutions, Determinants, Part -2, Class 12, Maths Notes - Class 12  

NCERT Solutions, Determinants, Part -2, Class 12, Maths Notes - Class 12

NCERT Solutions, Determinants, Part -2, Class 12, Maths Notes - Class 12


Question 8: By using properties of determinants, show that:
Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)
Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)


Answer
Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)
Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)
Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)

Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)
Hence, the given result is proved.


Question 9: By using properties of determinants, show that:

Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)


Answer
Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)
Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)

Question 10: By using properties of determinants, show that:
Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)


Answer
(i) Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)
Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)
Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)
Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)


Question 11: By using properties of determinants, show that:
Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)
 

Answer
Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)
Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)
Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)

Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)

Question 12: By using properties of determinants, show that:

Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)


Answer
Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)
Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)
Hence, the given result is proved.


Question 13: By using properties of determinants, show that:

Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)


Answer
Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)
Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)


Question 14:
By using properties of determinants, show that:

Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)


Answer

Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)
Taking out common factors a, b, and c from Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A) respectively, we have:

Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)
Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)
Hence, the given result is proved.


Question 15: Choose the correct answer.
Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)

Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)

Answer: C
Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)
Hence, the correct answer is C.


Question 16: Which of the following is correct?
A. Determinant is a square matrix.
B. Determinant is a number associated to a matrix.
C. Determinant is a number associated to a square matrix.
D. None of these Answer


Answer: C
Class 12, Determinants, CBSE, NCERT, Syllabus, Q and A, Important,Question and Answer (Q & A)
Thus, the determinant is a number associated to a square matrix.
Hence, the correct answer is C.

The document NCERT Solutions, Determinants, Part -2, Class 12, Maths Notes - Class 12 is a part of Class 12 category.
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