- #1
Krushnaraj Pandya
Gold Member
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Homework Statement
Find the value of z for which (10x-5)^2 + (10y-7)^2 = z^2((5x+12y+7)^2 is a parabola
Homework Equations
eccentricity of parabola=1
The Attempt at a Solution
I can solve this by expanding everything and writing h^2-ab=0 but this equation looks suspiciously similar to distance from a point=e^2(distance from a line) which should be one for a parabola. Dividing by 10^2 on both sides to remove coefficients of x and y seems reasonable. But I'm not sure how exactly to proceed to identify z easily. I'd appreciate some help, thank you