Q1 What are the values of x for which $\frac {x^3 + 3x^2 + 2x} { x^2 + 5x +6} = 0$

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

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.

Q4 The coordinate of the centre and the radius of the circle $y^2 + x^2 �?? 14x -8y + 56 = 0$ is __________

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

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

Q7 Let $Z_1 = 12 + 5i,~~ Z_2 = 14 �?? 7i$ express $Z_1 Z_2$ in standard form

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

Q9 Suppose A = (1, 4), B = (4, 5), C = (5, 7), then$(A \times B) \cap (A \times C)$ is ____________

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