Page 1 CBSE TEST PAPER-08 CLASS - XII MATHEMATICS (Algebra) Topic:- Determinants 1. Find value of x, if 2 4 2 4 5 1 6 x x = [1] 2. Find adj A for 2 3 1 4 A ? ? = ? ? ? ? [1] 3. Without expanding, prove that x+y y+z z+x z x y 0 1 1 1 ? = = [1] 4. If matrix 1 -2 3 1 2 1 x 2 -3 A ? ? ? ? = ? ? ? ? ? ? is singular, find x. [1] 5. Show that, using properties if det. ( ) 2 2 2 3 2 1 x x x 1 x 1 x x 1 x = - [1] 6. If a, b, c is in A.P, and then finds the value of x+2 x+3 x+2a x+3 x+4 x+2b x+4 x+5 x+2c [4] 7. 3 2 , 1 1 A ? ? = ? ? ? ? Find the no. a and b such that A 2 + aA + bI = 0 Hence find A -1 [4] 8. Find the area of ? whose vertices are (3, 8) (-4, 2) and (5, 1) [4] 9. Evaluate 0 sin -cos -sin 0 sin cos -sin 0 a a a ß a ß ? ? ? ? ? = ? ? ? ? ? ? [4] 10. Solve by matrix method [4] x – y + z = 4 2x + y – 3 z = 0 x + y + z = 2Read More

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