111 parabola intersection

ern5231 wrote:Q1 y = x ^ 2, px + qy +1 = 0, are two equations in the XY axis. Is there a point of intersection?
a. p ^ 2 = 4q
b. q ^ 2 = 4p


Q2 Parabola y = x ^ 2, and qx + py +1 = 0, Is there a point of intersection?
(1) p = q ^ 2 / 4 (2) q = 4p ^ 2

OA later

IMO C for both the question.

First question can be plotted by using both the equation. There is no intersection point.

But in the second q, the p value is sqrrot(4).

If we know the values of p and q, we can definitely find whether both the graphs intersect. So, I assume the answer is C for the second question.

Source of the question and OA pls.

ern5231 wrote:Q1 y = x ^ 2, px + qy +1 = 0, are two equations in the XY axis. Is there a point of intersection?
a. p ^ 2 = 4q
b. q ^ 2 = 4p


Q2 Parabola y = x ^ 2, and qx + py +1 = 0, Is there a point of intersection?
(1) p = q ^ 2 / 4 (2) q = 4p ^ 2

OA later

IMO E

p and Q are not defined as constants. So We can have multiple values of p and q

hence E

OA for 1st one is C and second one is A. Can anyone explain?

I got A for both of them.
OA is strange.

IMO A can't be the answer for the second question. If Statement 1 is sufficint, statement 2 should be sufficient.

Let me know what is the source of the question..

Guys this is a question from Gmat mock test at my prep center. It is a real toughie. I am not understanding anything from your solutions. Hope an instructor can help!