Courses

# NCERT Solutions - Determinants, Miscellaneous Exercise JEE Notes | EduRev

## JEE : NCERT Solutions - Determinants, Miscellaneous Exercise JEE Notes | EduRev

``` Page 1

Question 1:
Prove that the determinant is independent of ?.
Hence, ? is independent of ?.
Question 2:
Without expanding the determinant, prove that
Page 2

Question 1:
Prove that the determinant is independent of ?.
Hence, ? is independent of ?.
Question 2:
Without expanding the determinant, prove that
Hence, the given result is proved.
Question 3:
Evaluate
Expanding along C3, we have:
Page 3

Question 1:
Prove that the determinant is independent of ?.
Hence, ? is independent of ?.
Question 2:
Without expanding the determinant, prove that
Hence, the given result is proved.
Question 3:
Evaluate
Expanding along C3, we have:
Question 4:
If a, b and c are real numbers, and ,
Show that either a + b + c = 0 or a = b = c.
Expanding along R1, we have:
Page 4

Question 1:
Prove that the determinant is independent of ?.
Hence, ? is independent of ?.
Question 2:
Without expanding the determinant, prove that
Hence, the given result is proved.
Question 3:
Evaluate
Expanding along C3, we have:
Question 4:
If a, b and c are real numbers, and ,
Show that either a + b + c = 0 or a = b = c.
Expanding along R1, we have:
Hence, if ? = 0, then either a + b + c = 0 or a = b = c.
Question 5:
Solve the equations
Page 5

Question 1:
Prove that the determinant is independent of ?.
Hence, ? is independent of ?.
Question 2:
Without expanding the determinant, prove that
Hence, the given result is proved.
Question 3:
Evaluate
Expanding along C3, we have:
Question 4:
If a, b and c are real numbers, and ,
Show that either a + b + c = 0 or a = b = c.
Expanding along R1, we have:
Hence, if ? = 0, then either a + b + c = 0 or a = b = c.
Question 5:
Solve the equations
Question 6:
Prove that
```
Offer running on EduRev: Apply code STAYHOME200 to get INR 200 off on our premium plan EduRev Infinity!

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

;