ParabolaMedium
Question
The axis of a parabola is along the line y = x and the distance of its vertex from origin is √2 and that from its focus is 2√2. If vertex and focus both lie in the first quadrant, then the equation of the parabola is
Options
A.(x + y)2 = (x - y - 2)
B.(x - y)2 = (x + y - 2)
C.(x - y)2 = 4 (x + y - 2)
D.(x - y)2 = 8 (x + y - 2)
Solution
Equation of directrix is x + y = 0.
Hence equation of the parabola is
Hence equation of parabola is
(x - y)2 = 8(x + y - 2).
Hence equation of the parabola is
Hence equation of parabola is
(x - y)2 = 8(x + y - 2).
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