Mathematics I 2020-objective

Group A

Attempt all the questions[10 x 1 = 10]

1. Circle(O) the correct answer.

i) If A ={ x : x is a triangle}, B = {x : x is an isosceles triangle} and C = {x : x is an equilateral triangle}then,

a) A ⊂ B ⊂ C      b) C ⊂ B ⊂ A     c) B ⊂ C ⊂ A       d) B ⊂ A ⊂ C

1 ii) If A, G, H are the Arithmetic mean, Geometric mean and Harmonic mean between two positive numbers then,

a) A < G < H   b)A > H > G    c) G < A < H     d) A > G > H

1 iii) Range of the function  is,

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

1 iv) The sum of the series given by  is equal to

a) e - 2    b) e      c) e - 1      d) 

1 v) If the order of matrix A is m x n and order of matrix B is n x m, then the order of the matrix AB is,

a) n x n       b) m x n       c) n x m          d) m x m

1 vi) Length of the Latus rectum of the parabola 2y2 - 9x = 0 is,

a)  b)  c)  d)

1 vii) Which of the following statement is not true?

a) is a vector        b) is a vector

c) is a vector          c) is a vector

1 viii) How many triangles can be formed by joining six non-collinear points.

a) 80               b) 40                    c)160              d)240

1 ix) Real part of the complex number  is,

a)                       b)                      c) 2                          d) 

x) If S₁ is the sum of first n natural numbers and S₂ is the sum of cubes of first n numbers then,

a) S₁ =          b)  = S₂               c)S₁ = 3S₂            d) S₂ =