Conic Sections Question 145
Question: If $ x=my+c $ is a normal to the parabola $ x^{2}=4ay $ , then the value of c is
Options:
A) $ -2am-am^{3} $
B) $ 2am+am^{3} $
C) $ -\frac{2a}{m}-\frac{a}{m^{3}} $
D) $ \frac{2a}{m}+\frac{a}{m^{3}} $
Show Answer
Answer:
Correct Answer: A
Solution:
The equation of the normal to $ x^{2}=4ay $ is of the form $ x=my-2am-am^{3}. $ Therefore $ c=-2am-a{m^{3.}} $ .