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

question 31

Multiple Choice

Find the equation of the curve on which the point $P$ lies. The distance between point $P$ and the point $( 0$ , 7) is $\frac { 7 } { 4 }$ of the distance between point $P$ and the line $y = - 4$ .

• A) \(\quad 616 x ^ { 2 } - 33 y ^ { 2 } - 16 y = 0\)
• B) \(\quad 16 x ^ { 2 } - 33 y ^ { 2 } - 616 y = 59\)
• C) \(\quad 16 x ^ { 2 } - 33 y ^ { 2 } - 616 y = 0\)
• D) \(\quad 16 x ^ { 2 } - 33 y ^ { 2 } + 616 y = 0\)
• E) none of these

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