Question
Question: Angle between tangents drawn from the point (1, 4) to the parabola y<sup>2</sup> = 4x is...
Angle between tangents drawn from the point (1, 4) to the parabola y2 = 4x is
A
300
B
450
C
600
D
900
Answer
600
Explanation
Solution
y2 = 4x; any tangent to parabola
y = mx + (for a = 1)
It passes through (1, 4) so m2 – 4m + 1 = 0
Ž tan q = 1+116−4= 3Ž q = 600