Determinants Test Class 12 Notes | EduRev

Class 12 : Determinants Test Class 12 Notes | EduRev

 Page 1


CBSE TEST PAPER-06 
CLASS - XII MATHEMATICS (algebra) 
Topic:- Determinants 
1. Find values of x for which
3    x 3  2
x    1 4  1
= . [1] 
2. A be a square matrix of order 3 × 3, there KA is equal to [1] 
3. Evaluate
3  2  3
2  2  3
3  2  3
? = [1] 
4. Let
4 4 2
1 4 1
y
x
= find all the possible value of x and y if x and y are natural numbers.[1] 
5. Show that, using proportion of let. [1] 
2
2 2 2 2
2
a +1      ab        ac
ab  b +1      bc 1
ca  cb      c +1
a b c = + + + OR
2
a  a+b  a+2b
a+2b  a  a+b 9 ( )
a+b  a+2b  a
b a b = +
6. 
2
2 3
2
(y+z) xy  zx
xy  (x+z) yz 2 ( )
xz  yz  (x+y)
xyz x y z = + + [4] 
7. Find the equation of line joining (3, 1) and (9, 3) using determinants. [4] 
8. If
2  3 1     -2
     
1     -4 -1     3
A and B
? ? ? ?
= =
? ? ? ?
? ? ? ?
then verify that (AB)
-1
 = B
-1
 A
-1
 [4] 
9. Using cofactors of elements of third column, evaluate
1     x     yz
1     y     zx
1     z     xy
? = [4] 
10. If
2      -3  5
3  2      -4
1  1      -2
A
? ?
? ?
=
? ?
? ?
? ?
 find A
-1
, using A
-1
 solve the system of equations [4] 
2x – 3y + 5z = 11 
3x + 2y – 4z = -5 
x + y -2z = -3  
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