Here are the answers:

1 : if is the complex cube first of unity then (1- +2) (1-2

»you didn't select an answer. The answer is :16

2 :

»you didn't select an answer. The answer is :/6

3 :

»you didn't select an answer. The answer is :1/2 log2

4 : The logical equivalence of ~(P-->~Q) is

»you didn't select an answer. The answer is :~ P --> Q

5 : d/dx[ sin -1(3x/2 - x3/2) ]

»you didn't select an answer. The answer is :

6 :

»you didn't select an answer. The answer is :0

7 : (X+1/X-1)x-1

»you didn't select an answer. The answer is :0

8 : If y = 1+ x / |_1 + x2 / |_2 + -- - - then dy/dx =

»you didn't select an answer. The answer is :ex

9 : Area included between the curves y2 = 4ax and x2 =4by is

»you didn't select an answer. The answer is :16ab/3

10 : tan-1[3x-x3 / 1-3x2]dx=

»you didn't select an answer. The answer is :34 - 3/2log 2

11 : If (2+i) (2+2i) (2+3i) … (2+ni) = x + iy then 5.8.13… (4+n2) =

»you didn't select an answer. The answer is :x2 - y2

12 : Let A=then

»you didn't select an answer. The answer is :AT=-A

13 : The set of matrices M= from a group under multiplication operation with the identity element

»you didn't select an answer. The answer is :

14 : G = { 1, 2, 3, 4, 5, 6 } is a group under multiplication mod 7. then (3 x 5-1) -1 =

»you didn't select an answer. The answer is :4

15 : The parabola (y + 1) 2 = a(x-2) passes through the point (1, -2). The equation of its directrix is

»you didn't select an answer. The answer is :4x+1 = 0

16 : If (G, ·) is a group and a2 = e,aG then

»you didn't select an answer. The answer is :abelian

17 : The equation of the circle passing through (2, 1) and touching the co-ordinate axes is

»you didn't select an answer. The answer is :x2 + y2 - 2x - 2y + 1 = 0

18 : The inverse of is

»you didn't select an answer. The answer is :

19 : The locus of a point such that the ratio of its distances from two fixed points is a constant is

»you didn't select an answer. The answer is :a circle

20 : If the latusrectum of the ellipse x2 tan2 + y2 sec2= 1 is ½ then is

»you didn't select an answer. The answer is :5/12

21 : Equation of the normal to the ellipse x2 /a2 + y2 /b2 = 1 at the point (a cos,bsin)is

»you didn't select an answer. The answer is :( ax /cos) - (by / sin)=a2 - b2

22 : The amplitude of (-1) 5 is

»you didn't select an answer. The answer is :

23 : The angle between the curves y2 = x and x2 = y at (1, 1) is

»you didn't select an answer. The answer is :tan -1 3/4

24 : Subnormal to xy = c2 at any point varies directly as

»you didn't select an answer. The answer is :square of the ordinate

25 : The absolute maximum of y = x3 - 3x + 2 in [0, 2] is

»you didn't select an answer. The answer is :2

26 : ( 1 / 1 + e -x ) dx =

»you didn't select an answer. The answer is :log (1 + e x )

27 : elogx sin x dx =

»you didn't select an answer. The answer is :-xcos x + sin x

28 : ( a sec x + b cosec ) / ( sec x + cosec x ) dx =

»you didn't select an answer. The answer is :(a+b)/4

29 : ex ( 1 + tan x + tan2 x) dx =

»you didn't select an answer. The answer is :e/4

30 : [ ( sin-1 x - cos -1 x ) / ( sin-1 x + cos -1 x ) ] dx =

»you didn't select an answer. The answer is :log ( sin-1 x + cos-1 x )

31 : The radius of the circle 9x2 + 9y2 + 18 x - 36y + 44 = 0 is

»you didn't select an answer. The answer is :1/3

32 : Area bounded by x = 4 - y2 and y-axis is

»you didn't select an answer. The answer is :32/3

33 : tan -1 x dx =

»you didn't select an answer. The answer is :4-1/2log 2

34 : The order and degree of the differential equation 1 + ( dy / dx) 2 ] 2/3 = d2y / dx2 are respectively

»you didn't select an answer. The answer is :2,3

35 : If = k (a-b) (b-c)(c-a) then k =

»you didn't select an answer. The answer is :1

36 : nco- nc1 + nc2 - nc3+ …….+ (-1) n nc n is equal to

»you answered : , which is correct

37 : If o<>

»you didn't select an answer. The answer is :2 log (c-a)

38 : If s = 4t3 - 18 t2 - 15. Find the velocity when the acceleration vanishes

»you didn't select an answer. The answer is :-27

39 : If the slopes of one of the lines represented by 4x2+ 2hxy + 3y2 = 0 three times the slope of the other than the

»you didn't select an answer. The answer is :4

40 :

»you didn't select an answer. The answer is :-

41 : The angle between the lines x2 - y2 - 2y - 1 = 0 is

»you didn't select an answer. The answer is :900

42 : The value of cot 82 1/20 =

»you didn't select an answer. The answer is :

43 : In a triangle ABC if cos B = sin A / 2 sin C then the triangle is

»you didn't select an answer. The answer is :isosceles

44 : A point moves such that the sum of the squares of the distances from the three verticles of a triangle is constant the locus of the point to

»you didn't select an answer. The answer is :a circle

45 : The value of ( tan 800 - tan 100 ) / tan 700 =

»you didn't select an answer. The answer is :2

46 : if are unit vectors and s the angle between them, then is a unit vector when =

»you didn't select an answer. The answer is :/3

47 : If the vectors are coplanar then x =

»you didn't select an answer. The answer is :-2

48 : If | a | = 3, | b | = 4 and | a - b | = 5 then | a + b | =

»you didn't select an answer. The answer is :5

49 : [ a + b b + c c + a ]

»you didn't select an answer. The answer is :2 [a b c ]

50 : A then A + =

»you didn't select an answer. The answer is :A A

51 : Adjoint of a matrix exists when

»you didn't select an answer. The answer is :A is a square matrix

52 : If (f o g) (1) = 3, g(1) = 2, g'(1) = 1 then f '(2) =

»you didn't select an answer. The answer is :3

53 : let f(x) be a continuous function and g(x) be a discontinuous function. Then f(x) + g(x)

»you didn't select an answer. The answer is :discontinuous function

54 : If f(x) = cos (log x) then d/dx f(x) =

»you didn't select an answer. The answer is :- sin( log x) / x

55 : The equation of the tangent to the circle x2 + y2 + 2gx + 2fy = 0 at (0, 0) is

»you didn't select an answer. The answer is :gx + fy = 0

56 : The parametric equations of rectangular hyperbola xy = c2 are

»you didn't select an answer. The answer is :x = ct , y = c/t

57 : The limiting points of the co-axial system of circles x2 + y2 + 2gx + 4 = 0 are

»you didn't select an answer. The answer is :( 2,0)

58 : Set A has n elements. Its power set P(a) has

»you didn't select an answer. The answer is :2n elements

59 : The multiplicative inverse of (1-i) / (1+i) is

»you didn't select an answer. The answer is :i

60 : The converse of the inverse of the conditional of a proposition p--> q is

»you didn't select an answer. The answer is :contra positive