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Class 12th CBSE 2016 Mathematics Paper Set 3

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Class-12th CBSE
Subject-Mathematics Set 3
year-2016       

Here is some questions:-
SECTION-A

1. If A is a square matrix such that A2 = I, then find the simplified value of   (A – I)3 + (A + I)3 – 7A.
SECTION-B
1. A and B throw a pair of dice  alternately. A wins the game if he gets a total of 7 and B wins the game if he gets a total of 10. If A starts the game, then find the probability that B wins.
SECTION–C
1. Find the coordinate of the point P where the line through A(3, – 4, –5) and B (2, –3, 1) crosses the plane passing through three points L(2, 2, 1), M(3, 0, 1) and N(4, –1, 0). Also, find the ratio in which P divides the line segment AB.


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