ParabolaHard
Question
A point on the parabola y2 = 18x at which the ordinate increases at twice the rate of the abscissa is
Options
A.(2, 4)
B.(2, -4)
C.
D.
Solution
Any point be 
; differentiating y2 = 18x
⇒
= 2 (given) ⇒ t = 
⇒ Point is
; differentiating y2 = 18x ⇒
= 2 (given) ⇒ t = ⇒ Point is
Create a free account to view solution
View Solution FreeMore Parabola Questions
Tangents are drawn from the points on the line x - y + 3 = 0 to parabola y2 = 8x. Then the variable chords of contact pa...If the tangents and normals at the extremities of a focal chord of a parabola intersect at (x1, y1) and (x2, y2) respect...The co-ordinates of a point on the parabola y2 = 8x whose focal distance is 4 is...Consider a branch of the hyperbola x2 - 2y2 - 2 √2x - 4√2y - 6 = 0 with vertex at the point A. Let B be one ...Let the image of the parabola $x^2 = 4y$ in the line $x - y = 1$ be $(y + a)^2 = b(x - c)$, where $a, b, c \in \mathbb{N...