ParabolaHard
Question
Let L be a normal to the parabola y2 = 4x. If L passes through the point (9, 6), then L is given by
Options
A.y - x + 3 = 0
B.y + 3x - 33 = 0
C.y + x - 15 = 0
D.y - 2x + 12 = 0
Solution
y2 = 4x
Equation of normal is y = mx - 2m - m3.
It passes through (9, 6)
⇒ m3 - 7m + 6 = 0
⇒ m = 1, 2, - 3
⇒ y - x + 3 = 0, y + 3x - 33 = 0, y - 2x + 12 = 0.
Equation of normal is y = mx - 2m - m3.
It passes through (9, 6)
⇒ m3 - 7m + 6 = 0
⇒ m = 1, 2, - 3
⇒ y - x + 3 = 0, y + 3x - 33 = 0, y - 2x + 12 = 0.
Create a free account to view solution
View Solution FreeMore Parabola Questions
TP & TQ are tangents to the parabola, y2 = 4ax at P & Q. If the chord PQ passes through the fixed point (-a, b) then the...Let (x, y) be any point on the parabola y2 = 4x. Let P be the point that divides the line segment from (0, 0) to (x, y) ...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 t...The area bounded by the parabola x2 = 8y & the line x - 2y + 8 = 0 is -...The line 4x - 7y + 10 = 0 intersects the parabola, y2 = 4x at the points A & B. The co-ordinates of the point of interse...