Find the Equation of the Curve on Which the Point $P$

question 38

Multiple Choice

Find the equation of the curve on which the point $P$ lies. The distance between point $P$ and the point ( 0 ,
11) is $\frac { 11 } { 7 }$ of the distance between point $P$ and the line $y = - 7$ .

• A) \(\quad 49 x ^ { 2 } - 72 y ^ { 2 } + 2,772 y = 0\)
• B) \(\quad 2,772 x ^ { 2 } - 72 y ^ { 2 } - 49 y = 0\)
• C) \(\quad 49 x ^ { 2 } - 72 y ^ { 2 } - 2,772 y = 0\)
• D) \(\quad 49 x ^ { 2 } - 72 y ^ { 2 } - 2,772 y = 50\)
• E) none of these

---

Definitions:

Beta Waves

Brain waves that are associated with active, alert cognition and a wakeful state.

Non-REM Sleep

A phase of sleep characterized by slower brain waves, less eye movement, and the absence of dreaming, divided into three stages, each deeper than the last.

Theta Waves

Slow brain waves typically found in sleep and deep meditation, indicative of relaxed mental states.

Drowsy

describes a state of feeling sleepy or lethargic, often as a precursor to falling asleep.