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 = -3Read More

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