TMUAmockz Set 1 Paper 2 · Question 2

The distinct points $P$ and $Q$ with coordinates $(p^2,2p)$ and $(q^2,2q)$ respectively lie on the curve $C$ with equation $y^2=4x$ . Consider the following two statements:

S: The chord $PQ$ passes through the point $(-1,0)$

T: $p^2q^2=1$

Which of the following correctly describes the relationship between S and T?

AS is not necessary and not sufficient for T

BS is necessary but not sufficient for T

CS is sufficient but not necessary for T

DS is necessary and sufficient for T

ET is sufficient but not necessary for S

FS is necessary and sufficient for T, but only when

p,q>0

examday

TMUAmockz Set 1 Paper 2 · Q2