MTH101 TMA Questions and Answers

Q1 What are the values of x for which \[\frac {x^3 + 3x^2 + 2x} { x^2 + 5x +6} = 0 \]
 x = 0, 1 or 3
 x = 0, 1 or -3
 x = 0, -1 or 3
 x = 0, -1, or -2

Q2 Let x be the required Arithmetic Mean, then 8, x, 16 form three successive terms in the Aritmetic Progression. Find x.
 10
 16
 12
 30

Q3 The sum of the first and third terms of a Geometric progression is \[6\frac{1}{2}\] and the sum of the second and fourth terms is \[9\frac{3}{4}\].Find the first term.
 4
 3
 2
 5

Q4 The coordinate of the centre and the radius of the circle \[y^2 + x^2 �?? 14x -8y + 56 = 0\] is __________
 (7,4)
 (4, 5)
 (3,6)
 (3, 4)

Q5 The sum of five numbers in an Arithmetic Progression is 25 and the sum of their squares is 165. Find the common difference.
 2
 -2
 -3
 4

Q6 Let x be the required Geometric Mean (GM) between a and b. Then a, x, b, are the successive terms in the Geometric Progression. Find the GM
 \[\frac{ab} {x}\]
 x{ab}
 \[\sqrt{axb}\]
 \[\sqrt{ab}\]

Q7 Let \[Z_1 = 12 + 5i,~~ Z_2 = 14 �?? 7i\] express \[Z_1 Z_2\] in standard form
 203 -14i
 100 -12i
 123 -15i
 116-24i

Q8 The limiting value of \[\frac{n^{3}+5n^{2}+2}{2n^{3} + 9} \] as \[n\rightarrow \infty\]is __________
 1/2
 3/5
 1/5
 2/3

Q9 Suppose A = (1, 4), B = (4, 5), C = (5, 7), then\[ (A \times B) \cap (A \times C)\] is ____________
 {(1, 5), (4,5)}
 {(2, 5), (3,5)}
 {(2, 3), (1,5)}
 {(3, 5), (2,3)}

Q10 Let U = {1, 2, �?��?��?��?�., 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8}, C = {3, 4, 5, 6}, then \[(A�?�B)^c\]
 {1, 7, 9}
 {1, 3, 5}
 {1, 2, 3}
 {2,4,5}