Vene T. Bogoslavov: Collection of Solved Problems #1
MR-827
Determine the set (geometric position) of all points in the plane for which the distance ratio from the point F(3,0) and from the line v: 3x-4=0 is 3:2!
MR-693 / 1.
Which of the following sentences are statements?
a) 1+1 = 2
b) the number 16 is an odd number
c) an even number can be written in the form 2n, where n is a natural number
d) the solution of the equation 3x=18 is a natural number
e) ( a-b)2 ≥ 0 for every rational a and b
f) ab > 0 if a and b are of the same sign
g) a2 > 0 if a is a negative number
h) - a2 < 0 if a is a negative number