The line K represented by which of the following equation does not intersect with the line represented by y = 3x^2+5x+1  Select the correct option.
A) y = 2x^2+5x+1	B) y = x^2+5x+2	C) y = 3x^2+5x+2	D) y = 3x^2+7x+2	E) y = x^2+7x+1
concept of slope for linesparabolas are different. Bunuel, please correct if I am wrong. Also please help to solve this problem if its a GMAT type question.   The general form of parabolic equ. is y^2= 4ax which implies the axis is x or x^2 = 4ay where axis is y.   We have a similar form as x^2 = 4ay.   here the vertex is origin.   So if we have same values of x and y but constant term changes then we will have parallel parabolas.   This is same as for straight line K which are parallel for different values of constant term c   ax + by +c1 = 0 and ax +by+ c2 =0   We have quadratic equations. These equations when drawn give parabolas, not lines. The question is: which of the following parabolas does not intersect with the parabola represented by y=3x^2+5x+1.y = 3x^2+5x+2
<result>C</result>
The line K represented by which of the following equation does not intersect with the line represented by y = 3x^2+5x+1