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Maths Class - XII 1997
(CBSE)
You are on Set no 2 Question 1 to
30
Q1)
In a group there
are 2 men and 3 women 3 person are selected at random from this
group. Find the probability that 1 man and 2 women or 2 men and 1
woman are selected.
Q6)
Evaluate
:
 |
xtan
x
1 - cos
2x |
Q9)
Evaluate
 |
 /2 sin x
dx
0 1 + cos2
x |
Q10)
Solve the
differential equation (x - 1)dy/dx = 2xy given that y(2) =
1
Q13) Using vectors, show that the
diagonals of a parallelogram bisects each other
Q15)
Using
determinants, show that the points (11, 7), (5, 5) and (-1, 3) are
collinear.
Q16)
Evaluate:
|
dx
0 6 - cos
x |
Q22)
Prove
that
 |
a
a2 bc
b b2
ac
c c2 ab |
|
= (a - b)(b -
c)(c - a)(ab + bc +
ac) |
Q25)
For the
function
f(x) = 6 + 12x + 3x2 - 2x3,
find
(a) the interval (s), where it is increasing
(b)
the interval (s), where it is decreasing
Q29)
If
|
A = |
 |
2 -1
1
3 0 -1
2 6 0 |
 |
find A-1 and hence
solve
2x - y + z + 3 = 0
3x - z + 8 = 0
2x + 6y - 2 =
0
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