Questions
The vertex of a parabola is the point (a, b) and the latus rectum is of length . If the axis of the parabola is parallel to the axis and the parabola is concave upward, then its equation is
a
(x+a)2=l2(2y−2b)
b
(x−a)2=l2(2y−2b)
c
(x+a)2=l4(2y−2b)
d
(x−a)2=l8(2y−2b)
detailed solution
Correct option is B
The parabola having the axis parallel to the y-axis is(x−a)2=4A(y−b)According to the question, the length of latus rectum is 4A = l.Hence, the equation of the parabola is(x−a)2=l(y−b) or (x−a)2=l2(2y−2b)Talk to our academic expert!
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A point on the parabola at which the ordinate increases at twice the rate of the abscissa is
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