Grade 10Analytical Geometry
if the distance of the points P(x,y) from A(a,0) be a+x prove that y2 = 4ax
if the distance of the points P(x,y) from A(a,0) be a+x prove that y2 = 4ax
1 Answer
Arun
Dear student
Using distance formula
Squaring both the sides
(x-a)² + y² = (x +a)²
x² + a² - 2a*x + y² = x² + a² + 2a*x
y² = 4a*x
Hence proved
Regards
Arun (askIITians forum expert)
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