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

question 32

Multiple Choice

Find the equation of the curve on which the point $P$ lies. The distance between point $P$ and the point ( 0 ,
13) is $\frac { 13 } { 7 }$ of the distance between point $P$ and the line $y = - 7$ .

• A) \(\quad 49 x ^ { 2 } - 120 y ^ { 2 } + 3,640 y = 0\)
• B) \(\quad 49 x ^ { 2 } - 120 y ^ { 2 } - 3,640 y = 0\)
• C) \(\quad 49 x ^ { 2 } - 120 y ^ { 2 } - 3,640 y = 69\)
• D) \(\quad 3,640 x ^ { 2 } - 120 y ^ { 2 } - 49 y = 0\)
• E) none of these

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