Conic Sections Question 457
Question: The points on the parabola $ y^{2}=36x $ whose ordinate is three times the abscissa are
Options:
A) (0, 0), (4, 12)
B) (1, 3),(4, 12)
C) (4, 12)
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
$ y_1=3x_1 $ . According to given condition $ 9x_1^{2}=36x_1 $
therefore $ x_1=4,0 $
therefore $ y_1=12,0 $
Hence the points are (0,0) and (4,12).
BETA
