Question
Question: Number of distinct normals that can be drawn to the curve x<sup>2</sup> = 4y from point (1, 2), is...
Number of distinct normals that can be drawn to the curve x2 = 4y from point (1, 2), is
A
0
B
1
C
2
D
3
Answer
1
Explanation
Solution
Normal to x2 = 4y is x = my –2m –m3
passes through (1, 2) ̃ 1 = 2m –2m – m3
̃ m3 = –1 or m = –1