1.

Find the equation of parabola given that vertex is origin (0, 0) and passing through the point P(5, 2) and symmetric with respect to the y-axis.

Answer»

Equation of parabola is x2 = 4ay 

Here parabola passing through(5, 2) 

∴ 52 = 4a(2) 4a = 25/2

∴ Equation is x2 = (25/2)y



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