ParabolaEasy
Question
The equation of a tangent to the parabola y2 = 8x is y = x + 2. The point on this line from which the other tangent to the parabola is perpendicular to the given tangent is
Options
A.(-1, 1)
B.(0, 2)
C.(2, 4)
D.(-2, 0)
Solution
Point must be on the directrix of the parabola.
Hence the point is (-2, 0).
Hence the point is (-2, 0).
Create a free account to view solution
View Solution FreeMore Parabola Questions
From the point (4, 6) a pair of tangent lines are drawn to the parabola, y2 = 8x. The area of the triangle formed by the...A parabola has the origin as its focus and the line x = 2 as the directrix. Then the vertex of the parabola is at...A line L : y = mx + 3 meets y - axis at E(0,3) and the arc of the parabola y2 = 16x, 0 ≤ y ≤ 6 at the point ...A point on the parabola y2 = 18x at which the ordinate increases at twice the rate of the abscissa is...If the chord joining the points $P_1(x_1, y_1)$ and $P_2(x_2, y_2)$ on the parabola $y^2 = 12x$ subtends a right angle a...