· pdf file 1) matrix a is of order 2x3 and b

www.Padasalai.Net www.TrbTnpsc.com
http://www.trbtnpsc.com/2017/06/latest-11th-study-materials-tamil-medium-english-medium.html
1) Matrix A is of order 2x3 and B is of order 3x2 then order of matrix BA is 1) 3x3 2) 2x3 3)2x2 4) 3x2
2) The type of the matrix
1 7 5
2 6 3
4 8 9
is
1) Singular matrix 2) Non Singular matrix 3) scalar matrix 4) Diagonal
3) The position vector of A is a = 2 3 4 , 5 7 6i j k AB i j k then the position vector of B is
(1) 7 10 10i j k (2) 7 10 10i j k 3) 7 10 10i j k (4) 7 10 10i j k
4) If a = 2 , 2 , 2 2i j k b i j k c i j k then a unit vector parallel to a b c is
(1) 2
6
i j k (2)
3
i j k (3)
2
6
i j k (4)
3
i j k
5) If 2 3
( 2)(2 3) 2 2 3
ax
x x x x
then a = ?
1) 4 2) 5 3) 7 4) 8
6) The number of diagonals that can be drawn by joining the vertices of an octagon is 1) 28 2) 48 3) 20 4) 24
7) The largest co efficient in the expansion of (1+x) 24 is
1) 24
24C 2) 24
13C 3) 24
12C 4) 24
11C
8) Number of ways of arranging 10 persons in a circle is
1) 10 ! 2) 9 ! 3) 9!
2 4) None
9) If a, b, c are in A.P. then 3a,3
b,3
c are in
1) A.P. 2) G.P. 3) H.P. 4) AP and G.P
10) What number must be added to 5,13 and 29 so that sum may form a G.P. ?
1) 2 2) 3 3) 4) 4) 5
11) If a, b, c are in A.P. as well as in G.P. then
1) a=bc 2) ab=c 3) abc 4) a=b=c

12) ex = 1+x+
2
2
x 2
2
x+ is valid for
1) 1 1x 2) 1 1x 3) all real x 4) x >0
13) Which of the following has the greatest y intercept in magnitude ?
1) 2x+3y=4 2) x+2y=3 3) 3x + 4y = 5 4) 4x+5y=6
14) The equation of the straight line containing the point (-2,1) and parallel to 4x-2y=3 is
1) y=2x+5 2) y =2x-1 3) y= x-2 4) y = 1
2x
15) If 2x2+3xy-cy
2=0 represents a pair of perpendicular lines then c = ?
1) -2 2) 1
2 3) 2 4) 0
16.
2
2
( 1)( 1)
x
x x can be expressed as
1) 2( 1) 1
A Bx C
x x
2)
2( 1) 1
A B
x x
3)
2 1 ( 1)
A Bx C
x x
4)
2 1 ( 1)
A B
x x
17. The Middle term(s) in the expansion of
17
2
1x is
x
________
1) T8 and T9 2) T10 3) T 9 4) T9 and T10
18. The fifth term in the sequence an = 1 ( 1)
3
n
is
_______1) 0 2) 2
3 3)
1
4 4)
3
4
19. 1 1
1 ........... ........2! 4!
is 1) e 2) e-1 3) 1
2
e e 4)
1
2
e e
20. 2 22 2 2 0ax hxy by gx fy c represents a pair of perpendicular lines only if
1) a+b=1 2) a+b=0 3) ab =1 4) h2=ab
21. 22.
Compute
1 2 3
0 5 1
3 2 6
23.
24.

25.
26.
27.
28.
If the point P ( 5t-4, t+1 ) lies on the line 7x-4y+1= 0 Find the value of tFind also the co ordinates of P
29
30.
31.
32.
33. How many numbers divisible by 5 and lying 5000 and 6000 can be formed from the digits 5,6,7,8 ?

34. Prove by the principle of mathematical induction 2+4 +6 +8 .+ 2n = n (n+1)
35. If the 5th
term and 12th
term of a H.P are 12 and 5 respectively, find the 15
th term
36. Simplify 5 5( 2 1) ( 2 1)+ + -
37. Find n if (i) 3 220
23
n nC C=
38.
39. If A and B are the points (-2,3) and (4,-5) Find the equation of the locus of a point such that PA2-PB
2=20
40.
41.
(OR)
42.
(OR)
Find the co-ordinates of the points on the line y=x+1 which are at a Distance of 5 units from the line 4x-3y+20 =0
43. (i) How many numbers can be formed with the digits 1,2,3,4,3,2,1 so that the odd digits always occupy the odd places? (ii) How many arrangements can be made with the letters of the word MATHEMATICS (OR)
If the coefficient of 5th
, 6 th
, and 7 th
terms in the expansion of (1+x) n
are in Arithmetic progression find n
44. If x is so large Prove that 2 2 825 9x x nearly
x (OR)
Show that the equation 3x2+7xy+2y
2+5x+5y+2=0 represents a pair of straight lines and also find the angle between them
45. Show that the middle term in the expansion of (1+x) 2n is 1.3.5.7..........(2 1)2
!
n nn x
n
- (OR)
Resolve in to partial fractions
2
2
2 9
( 6)( 1)
x x
x x x
46. Prove that
2
2 2 2 2 2
2
( )
a ab ac
ab b bc a b c
ac bc c
(OR)
Using vector method Prove that the line segments joining the mid points of the adjacent sides of a
quadrilateral taken in order for a parallelogram

47. Prove by mathematical induction that an-bn is divisible by (a-b) (OR)
Prove by vector method that the internal bisectors of the angles of a triangle are concurrent
1. If
2 1 5
3 0 2
4 2 m
is a singular matrix then the value of m is _________
a) 1 b) 0 c) 5 d) 10
2. The value of
2
2
2
a b a b
b c b c
c a a b
is a) 0 b) a+b+c c) abc d) 2abc
3. If 2 3 5OP i j k and the mid point of 3PQ is i j k then OQ is
a) 4 4i j k b) 4 4i j k c) 4 5 3i j k d) 2 6i j k
4. Given that 3 4i j k and 6 8i j xk are parallel then the value of x is
a) 2 b) -2 c) -14 d) 0
5. The value of 8
3 _______P is a) 24 b) 336 c) 56 d) 11
6. Number of terms in the expansion of (2x+3)7 is _________ a) infinity b) 6 c) 7 d) 8
7. Sum of the binomial co efficient is ___________ a) 2
2n b) 12n c) 2n d) 12n
8. The 6 th term in the given sequence an = n2-1 if n is odd,
2 1
2
n if n is even
a) 17
2 b)
37
2 c)
5
2 d) 24
9. The series of 1
log ____________1
xis
x
a)
3 5
............3 5
x xx b)
3 5
............3! 5!
x xx c)
3 52 22 ............
3 5
x xx d)
3 52 22 ............
3! 5!
x xx
10. The first term and the third term of HP are 1 1
3 7and then the section term is
a) 1
5 b)
1
21 c)
1
10 d)
1
21
11. The equation of the straight line parallel to x-2y+4 =0 and passing through origin is ________ a) x-2y+1=0 b) x+2y+1=0 c) x-2y=0 d) x+2y=0
12. y=2x and y=3x are two separate lines. The combined equation of their pair of lines is __________

a) y=5x b) y=6x c) y2=6x
2 d) 6x
2-5xy+y
2=0
13. The order of matrix B = [1 2 5 7 ] is 1) 1x4 2) 4x1 3) 2x1 4) 1x1
14. 2
1
1 1

· pdf file 1) matrix a is of order 2x3 and b

Documents