Mathematics I 2019-Objective

Group A

Attempt all the questions.[10x1 = 10]

1.

i) If A = [-1,3) and B = [2,5], then A-B is equal to

a) [-1,2)    b) [-1,3)    c) (-1,2)    d) [-1,3]

1.

ii) If and g(x) = x + 1 then, what is the value of gof( x)?

1.

iii) What is the reciprocal of the complex number (2,1)?

a) (1/5, 1/5)    b) (2/5, -1/5)    c) (-2/5, 1/5)    d) (-2, -1)

1.

iv) What type of function  y = f(x) = ax² + bx + c is?

a) Constant function    b) Linear function    c) Identity function    d) Quadratic function

1.

v) Geometrical meaning of scalar triple product of three vectors  is the

a) Volume of parallelepiped formed by  as adjacent sides

b) x  Projection of  on and 

c) x  Projection of  on 

d)

1.

vi) If a, b, c is in H.P then, what is the value of b?

1.

vii) Which of the following is the rank of the Matrix  ?

a) 0    b) 1    c) 2    d) 3

1.

viii) In how many ways 6 persons can seat in a round table?

a) 720      b) 360      c) 120      d) 60

1.

ix) Let , and a map  defined by T(x)=A(x) then what is the image of  under T?

1.

x) If then, this is the equation of..

a) Parabola    b) Hyperbola    c) Ellipse    d) Circle