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Maths
Class - XII 1998 (CBSE)
You are on Set no 2 Question 1 to
30
(i) All Questions are
compulsory
(ii) Question number 1 to 15 are of 2 marks
each
(iii) Question number 16 to 25 are of 4 marks each
(iv)
Question number 26 to 30 are of 6 marks each
Q2) Express the matrix
| A
= |
 |
3 1
-4
-1 |
 |
as the sum of a symmetric and a skew
symmetric matrix.
Q3) Evaluate
lim
x-> /2 |
(2x - )/cos
x |
Q5)
Verify Rolle's theorem for the function f(x) = x2 - 4x +
3 in the interval [1, 3]
Q8)
Evaluate:-
 |
sin x/(1 + cos x)
dx |
Q10) Evaluate
|
dx
 (3 - x +
x2) |
Q14) Two unbiased dice are thrown. Find the
probability that neither a doublet nor a total of 8 will
appear.
Q16) A variable plane passes through a fixed point (2,
-1, 5). Show that the locus of the foot of the perpendicular drawn
from origin to this plane is the sphere given by the
equation:
x2 + y2 + z2 - 2x + y
- 5z = 0
Q19) For the function f(x) = x3 -
6x2 - 1, find the interval (s):
(i) in which f(x) is
increasing.
(ii) in which f(x) is decreasing.
Q23) Evaluate
2
0 |
|
(2x2 -
3)dx as limit of
sum. |
Q28) If A =
|
1
1 1
2 -1 1
1
-2 3 |
|
, find
A-1 |
Using A-1, solve
the following system of linear equations:
x + y + z = 3
2x - y
+ z = 2
x - 2y + 3z = 2
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