Question
Question: The line y = x - 6 is a normal to the parabola y<sup>2</sup>=8x. Then the foot of the normal is...
The line y = x - 6 is a normal to the parabola y2=8x. Then the foot of the normal is
A
(2, 4)
B
(2, -4)
C
(-2, -4)
D
(1/2, 2)
Answer
(2, -4)
Explanation
Solution
Let y = x – 6 is normal to y2 = 8x at ‘t’ then the slope of the normal at = -t = 1 (slope of the given line).
∴ The point in (at2, 2at) = (2, -4)