The H.C.F. of (x2 - 4), (x2 - 5x - 6) and (x2 + x - 6) is -
1). 1
2). (x - 2)
3). (x + 2)
4). (x2 + x - 6)
x2 - 4 = (x + 2)(x - 2)
x2 - 5x - 6 = x2 - 6x + x - 6
= (x - 6)(x + 1)
x2 + x - 6 = x2 + 3x - 2x - 6
= (x + 3)(x - 2)
Clearly there is no common factor
So H.C.F = 11. If 2x-$\frac{1}{2x}$ =5, x$\neq$0 , then find the value of $x^{2}+\frac{1}{16x^{2}}$-2 ?
2. The 3rd and 7th term of an arithmetic progression are -9 and 11 respectively. What is the 15th term?
3. If 3x + 2 ≥ x -1 and 2x - 4 ≤ 2 x/3; then x can take which of the following values?
6. If $x +\frac{1}{x}$ = 5 , then what is the value of $x^{5} +\frac{1}{x^{5}}$?
7. If a + b = 3 and ab = -4, then what is the value of a3 + b3?
9. If 2x + 2(4 + 3x) < 2 + 3x > 2x + $\frac{x}{2}$; then x can take which of the following values?