Intermediate (class-XI) Objective (Complete Book)
Q.No.1:-
Each question has four possible answers .select the correct answer and
encircles it.
1.
i 6 is equal to
(a) –1 (b)
(c)
1 (d) –
(c)
1 (d) –
2.
The set of odd integers between
“2” and ‘4” is
(a) Proper set (b)
Infinite set (c)Empty set (d)
Singleton set
3.
An operation which act on a
single number yields an other number is called
(a) Binary operation (b)
Unary operation (c) Trinary
operation. (d) Arithmetic operation
4.
A system of linear equation is
said to be consistent if it has
(a) No solution (b) Unique solution (c)
Infinite solution (d) (b), (c)
5.
Which one of the following
property of matrices is not possible in general?
(a) Distributivity (b) commutativity (c) Associativity (d) none of these
6.
If f (x) is divided by x-a s.t
g(x) is Quotient and R is the remainder, then the division algorithm is
(a) g(x)=(x-a) f(x)+R
(b) f(x)=(x-a) R+g(x) (c) f(x) = (x-a)g(x) +R (d) g(x) = (x-a) R +f(x)
7.
If the roots of the Quadratic
equation x2+2x+c=0 are equal then value of c is
(a) 1 (b)
2 (c) 3 (d) 4
9.
If a,bÃŽR, a ¹ b and G is –ve
G.M then
(a) A <
G< H (b) A < G <
H (c) A > G > H (d) A
> G > H
10.
IF P(A) = P(B) then events A and
B are
(a)
Dependent events (b) Independent event (c)
Impossible events (d) Compound event
11.
For two mutually exclusive events
A and B:
(a) A È
B = f (b) A Ç
B = f (c)A ÈB
= AÇB (d) A=B
12. Sum
of exponents of “a” and “x’ in each term in expansion of (a+x)n is
equal to
(a) n+1 (b) n–1 (c)
n (d) 1
13. In
expansion of (a+x)n ; coefficients from the beginning and end are
(a) always equal (b) always not equal (c)
may be equal (d) may not be
equal
14. n2>n+3 for all
integral values of
(a) n £ 3 (b)
n ³ 3 (c)
n £
2 (d) n ³
2
15. Two
rays with common starting point form
(a) An Angle (b)
an arc (c) Curve (d)
Sector
17.
cos(2p+θ)=
(a) –cosθ (b) cosθ (c)
–sinθ (d) sinθ
19.
If a,b,c are the sides of a
triangle and s the semi-perimeter then
the value of a+b-c=
(a) s – c (b) 2s–2c (c) s –2c (d)
2s–c
(Section-1)
Q.No.2:- Write short answers of following questions. (any twenty five) 25 x 2 = 50
1)
Factorize 3x2+3y2
2)
Find the multiplicative inverse
of –3i
4)
Define overlapping sets.
5)
Why Z is not a group w.r.t ‘´’
6)
Define principal diagonal and
secondary diagonal.
7)
Evaluate
8)
If the matrices A and B are symmetric
and AB=BA show that AB is symmetric.
9)
Find the inverse of
10)
If A is non singular matrix then
show that (A-1)-1=A
11)
Evaluate
12)
Use factor theorem to determine
the first polynomial is a factor of the second polynomial or not
13)
When is divided by x-2, the
remainder is 1.find the value of k.
14)
Prove that sum of all the four
fourth roots of unity is zero.
15)
Find the G.M between –2i
and 8i.
16)
Find the interval in which the
series is convergent
17)
Find the 9th term of
harmonic sequence
18)
Find the value of n when
19)
The governor of the Punjab calls
a meeting of 12 officers. In how many ways can they be seated at a round table?
20)
Evaluate
21)
Determine the probability of
getting 2 heads in two successive tosses of a balanced coin.
22)
State Binomial theorem
23)
Calculate by means of binomial
theorem (0.97)3.
24)
Use Binomial theorem to find the
value of (.98)1/2 up to three places of decimal.
25)
State principle of mathematical
induction.
26)
Find x, if
27)
Prove , state also the domain of
q
28)
Without using the tables, Find
the values of tan15o, cot15o
29)
Show that
30)
Prove that
31)
Find the period of 3 sin x
32)
Find the period of sec9x
33)
When the angle between the ground
and the sun is 30o flag pool casts a shadow of 40m long find the
height of the top of flag.
34)
If a = 53, b=88o
36¢, g = 31o
54¢
find the value of b.
35)
Prove that
36)
Solve the equation
37)
Solve the equation
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